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  • CHNG 1: TNG QUAN V QUN L D N*Bi ging mn hc Qun l d n www.ptit.edu.vnGing vin: ThS Th Lan AnhB mn: Qun l d n Khoa Ti chnh K tonHc vin Cng ngh Bu chnh Vin thng

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Tng quan v qun l d n1.1 Khi nim d nKhi nim. Tnh cht d n1.2 Qun l d nKhi nim. Tiu chun qun l d n1.3 Cc yu t nh hng ti QLDAVng i d nCc thnh phn ca d nc im t chc1.4 Quy trnh QLDA

    **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.1. Khi nim d n/nh nghaMt tp hp cc hot ng c lin kt v t chc cht ch, c thi im bt u v kt thc c th, do c nhn hoc t chc thc hin, nhm t c nhng mc ch c th trong iu kin rng buc v thi gian, chi ph v kt qu hot ng (Vin Tiu chun quc gia Anh, Guide to Project Management 2000)Mt n lc tm thi c tin hnh to ra mt sn phm hay dch v duy nht (PMI, PMBOK 2004)**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.1. Khi nim d n/ Tnh chtPhm vi ca d n: Mi d n l duy nht v phi c th hin bng vn bn, c xem xt yu cu hot ng, mc dch v, cc quy nh phi tun th v cht lng ca sn phm Ngn sch: Ngun ti chnh cn thit cho d nThi gian thc hin: Ngy khi u v kt thc xc nh ca d n**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.1. Khi nim d n/ Tnh chtTnh duy nhtMc ch r rngThi gian tn ti hu hnB gii hn bi cc ngun lc hn chMang tnh ri ro cao

    **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.2. Qun l d nQun l d n (QLDA) l vic vn dng tng hp cc kin thc, k nng, cng c v k thut ra cc quyt nh qun l ph hp lut php, a d n t ti cc mc tiu t ra (PMBOK 2004)**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • **1.2. Qun l d nThi gianKt quNgun lcQLDAng thi hnt mc tiu v cht lng, kt qung ngun lc c phn bHnh: Tiu chun qun l d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Ti sao phi qun l d n?**1.2. Qun l d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Qun l d n v qun l chng trnh: Chng trnh l k hoch di hn, gm nhiu d n. Qun l chng trnh l vic qun l phi kt hp, tp trung ha gia cc d n cu thnh, ch trng ti mi lin h ph thuc gia chng, nhm t c cc mc tiu v li ch chin lc. **1.2. Qun l d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Qun l d n v qun l nghip v: Qun l nghip v l qun l lin tc cc cng vic hng ngy ca doanh nghip, t chc, khng c im kt thc. Qun l nghip v phi m bo tt c cc hot ng ca cng ty c thc hin tri chy v cc nhn vin lm vic ng chc trch ca mnh**1.2. Qun l d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Tiu chun qun l d nPRINCE2 ng dng ph bin ti Anh, Chu u v cPMBOK p dng ph bin Bc M v cc nc ngoi Chu u v c, vi cac quy trnh chun ho c a vao chun quc gia cua My ANSI/PMI 99-001-2008**1.2. Qun l d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.3. Cc yu t nh hng ti qun l d nVng i ca mt d n

    **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.3. Cc yu t nh hng ti qun l d n**Bin ng v chi phi thay i va v rui ro bt trc theo vong i cua DA Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.3. Cc yu t nh hng ti qun l d nQun l d n theo giai onp dng vi cc d n ln, phc tpCc giai on DA ni tip: Gim ri ro nhng ko di thi gianCc giai on DA giao thoa: tit kim thi gian nhng ri ro caoD n c cc giai on thay th nhau: p dng vi cc d n phc tp, nhiu yu t bin i**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.3. Cc yu t nh hng ti qun l d nChu k ca d n pht trin phn mmNhn dng nhu cu phn mmKhi u nm bt c yu cu ca cng vicThit k h thng mt cch logicLn k hoch kim tra sn phmPhn tch ri ro v a ra nhng gi .**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.3. Cc yu t nh hng ti qun l d nCc ch th lin quan ti d nNhm ch th gin tip : Nhn vin ca cc b phn khng lin quan trc tip ti d n; qun l mi trng, hnh chnh, chnh trNhm ch th trc tip : nh ti tr, nh qun l d n, nh qun l chc nng, nh qun l nghip v tham gia vo d n, khch hng, nh cung cp. **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • **S QUAN H TC NG CA CC CH TH TI DABi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.3. Cc yu t nh hng QLDAc im t chc nh hng ti QLDAQuy trnh, c cu t chc v vn ha doanh nghipCc chun quy nh ca CP, ban ngnh, C s h tng, cc phng tin, thit b hin c ca doanh nghipNgun nhn lc, H thng QLNSiu kin th trng, yu t chnh tr, h thng thng tin ca d n**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDAQuy trnh: mt chui cc hot ng u n hay lin tc c thc hin theo mt cch nh nhm t c kt qu**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDAKhi s d n (Initiating)Lp k hoch (Planning)Thc thi (Executing)Kim sot (Controlling)Kt thc d n (Closing)5 nhm quy trnh/42 quy trnh/9 mng kin thc3 ni dung ca quy trnh: u vo, cng c v k thut x l u vo, u ra

    **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDA**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDA**S chng cho ca cc nhm quy trnh trong mt giai on d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDANhm quy trnh Khi s (Initiation)c thc hin xc nh v thng qua d nKt qu: Bn iu l d n (quy m, ngun ti chnh) v Danh sch cc ch th lin quan n d n. Giy php DAc lp li mi giai on trong cc d n ln**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDANhm quy trnh Lp k hoch (Planning)Xc nh quy m ca d n, sng lc li cc mc tiu d n, la chn phng n hnh ng tt nht t ti cc mc tiu yKt qu: Bn k hoch qun l d n v cc ti liu d n hng dn vic thc thi d n. **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDANhm quy trnh Thc thi d n (Executing)Thc hin cc cng vic c xc nh trong bn k hoch QLDATrng tm: kt hp con ngi v cc ngun lc theo phng thc nht nh nhm t c mc tiu d n.Chi tiu phn ln kinh ph ca d n**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDANhm quy trnh Kim sot d n (Controlling)nhng quy trnh cn thit theo di, xem xt, iu tit qu trnh v tin ca d n; xc nh nhng b phn d n cn thay i; v bt u nhng thay i tng ng**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 1.4. Quy trnh QLDANhm quy trnh Kt thc d n (Closing)Gm nhng quy trnh c thc hin hon thin tt c cc cng vic trn mi quy trnh qun l nhm chnh thc hon thnh d n**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • CHNG 2: T CHC TRONG QUN L D NGing vin: ThS Th Lan AnhB mn: Qun l d n Khoa Ti chnh K tonHc vin Cng ngh Bu chnh Vin thng

    *Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • C cu t chc trong QLDA2.1 Khi nim2.2 Cc m hnh t chc trong QLDAT chc QLDA theo chc nngT chc QLDA theo d nT chc QLDA dng ma trnMa trn yuMa trn mnhMa trn cn bng2.3 Vai tr ca ngi QLDA**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.1 Khi nim t chc QLDA**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.1 Khi nim t chc QLDA Xy dng c cu t chc QLDA tu thuc vo cch thc v chin lc qun l, phm vi v ln ca DA. Mc tiu: qun l DA hiu qu nht bng lc lng lao ng c hu hin c. Nguyn tc chung: Cn b chuyn trch cho DA ln; khng gian lm vic chung cho cc thnh vin; hp nht cng vic gia cc b phn, nhn vin**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.1 Khi nim t chc QLDA2 nhm qun l:Qun l chc nng: Qun l cc nghip v lin quan ti d n trong phm vi doanh nghipQun l d n: Tm cch s dng, phn b tt nht cc ngun lc trong v ngoi DN t c mc tiu d n C s mu thun t cc nhm qun l?**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.1 Khi nim t chc QLDANgi qun l d nCn phi lm nhng g?Khi no nhim v phi xongTi sao phi lm nhim v ny?D n c thc hin c hiu qu khng?Ngn sch dnh cho nhim v cn bao nhiu?Ngi qun l chc nngNhim v s c thc hin nh th no?Nhim v s c thc hin u?Ai s thc hin nhim v?Vic s dng ngun lc trong d n c hiu qu khng?**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDA**2.2.1 M hnh t chc qun l theo chc nngBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDA**2.2.2 M hnh t chc qun l theo d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDAtp hp con ngi t cc b phn chc nng khc nhau thnh lp t DA4 m hnh: Ma trn yu, ma trn mnh, ma trn cn bng, ma trn hn hp**2.2.3 M hnh t chc qun l theo ma trnBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDA**T chc DA theo dng ma trn yu Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDA**T chc DA theo dng ma trn cn bng Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDA**T chc DA theo dng ma trn mnhBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDA**T chc DA theo dng ma trn hn hpD n AD n BBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.2 Cc m hnh t chc QLDALu khi la chn m hnh t chc DAS r rng v quyn hn, trch nhim ca tng v tr minh bch v thng tinS lp qun l cng t cng ttNhu cu, hiu sut s dng ngun lcTnh linh hotTc trao i thng tin gia cc v trChi ph hot ng**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 2.3 Ngi qun l d n**Lnh o (leader)m phnQun lBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • CHNG 3: PHNG PHP LNG TRONG QUN L D N*Ging vin: ThS Th Lan AnhB mn: Qun l d n Khoa Ti chnh K tonHc vin Cng ngh Bu chnh Vin thngBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Gii thiu chng 3M hnhXy dng m hnh phn tch s liu QLDA;QLDA vi m hnh Balanced scorecard ;Qun l d n vi m hnh Kano;Phng php nh tnh:D bo (forecast)Xc sut Thng k (probabilities, statistics)Ti u ho (optimization)M phng (simulation): M hnh sp hng; M hnh tm s lao ng ti u

    **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Phng php lng trong QLDAXy dng m hnh phn tch d liu**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi tonCng ty Rng ng chuyn sn xut cc sn phm X1, X2 t cc nguyn vt liu AR1, R2, R3.Li nhun ca sn phm X1, X2 ln lt l 150 v 200 (nghn ng/sp)Lng R1, R2, R3 hin c trong kho l: 200, 1566, 2880Sn xut 1 sn phm X1 cn: 1 R1, 9 R2, 12 R3, 1 sn phm X2 cn: 1 R1, 6 R2, 16 R3. Xc nh sn lng X1, X2 ti u.**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton phn nhimYu cu: 4 Ph G xung kim tra cc c s ti Leipzig, Nancy, Liege Tilburg. Chi ph c ngi nh sau. Tm gii php ti u.

    **Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton phn nhimCc gi thuyt:Cung vt cu?Cu vt cung?Phn nhim bt kh thi?**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton phn phi*Xem xt cng tc vn chuyn sn phm t 5 xng ti 4 im phn phi, Cng ty in Bu in nhn thy nn ng ca 1/1 s xng nhm gim chi ph vn hnh, cho d c tng chi ph vn chuyn. Tm phng n ti u*Bi ging mn hc Qun l d n www.ptit.edu.vn

    Chi ph vn chuynNhu cuXng Ngc HiXng Gia LmXng Hong MaiXng Mai DchXng Vn PhcHon Kim$4,000 $2,000 $3,000 $2,500 $4,500 15Ba nh$2,500 $2,600 $3,400 $3,000 $4,000 18ng a$1,200 $1,800 $2,600 $4,100 $3,000 14Cu Giy$2,200 $2,600 $3,100 $3,700 $3,200 20Nng lc xng2022171918Chi ph vn hnh xng$12,000 $15,000 $17,000 $13,000 $16,000

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton tuyn sinh**Hc vin CNBCVT tuyn sinh ti 2 c s H ng v Nam h t 5 vng. Do chnh sch x hi, Hc vin phi nhn cc hc sinh dn tc ngi dn tc, vi s lng t 30 n 40% tng s hc sinh hng nm. Tm gii php tuyn sinh ti u. Bi ging mn hc Qun l d n www.ptit.edu.vn

    C so toCh tiu tuyn sinhKhong cch n trng (km)Vng dn tc thiu sVng kinh12345H ng1.50020121045Nam h2.0001518865Dn s5004503001.0001.000

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton B tr lao ng**Bu cc H ng theo di tnh trng kinh doanh cc ngy trong tun v nhn thy tip c ht khch hng trong ngy, cn b tr lao ng cc ngy trong tun nh sau. Mi lao ng phi c ngh 2 ngy/tun. Tm phng n thu lao ng ti u.

    Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton B tr lao ng**Bo tng Qun i cn thu bo v cho cc gian trng by, s nh sau. Yu cu tt c cc gian hng u phi c bo v. Tm phng n thu lao ng ti u. Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton Tm ng i**Bi ging mn hc Qun l d n www.ptit.edu.vnTm ng i ngn nht t im xut pht ti im 6 v t im xut pht qua tt c cc im. Khong cch gia cc im xc nh c.

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Bi ton D bo**Bi ging mn hc Qun l d n www.ptit.edu.vnHng khng Vit nam ang c nh u t mt phn xng bo dng my bay ti sn bay Ni bi. D bo nhu cu bo dng my bay mi thng trong giai on ti t tm ra cng sut thch hp cho phn xng mi da trn s liu s lt my bay cn sa cha ln nh trong nm va qua.

    ThngDoanh thuThngDoanh thu110977113721189812713106291078410551012355117511111361024121086

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • CHNG 4: QUN L NGUN LC D N*Bi ging mn hc Qun l d n www.ptit.edu.vnGing vin: ThS Th Lan AnhB mn: Qun l d n Khoa Ti chnh K tonHc vin Cng ngh Bu chnh Vin thng

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • Qun l ngun lc d n4.1 Qun l ngun nhn lc4.2 Qun l hot ng mua bn trong d n**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1 Qun l nhn s trong DA4.1.1 Khi nim v qun l nhn s trong d n4.1.2 M hnh qun l nhn s d n4.1.3 Cc hot ng chnh trong QLNS DA4.1.4 Cc k thut QLNS d n**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.1 Khi nim Nhn s DA**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.1 Khi nim Nhn s DA**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.1 Khi nim QLNS DANhng qu trnh cn thit s dng ti u nhn s tham gia vo DA, k c cc bn lin quan L qu trnh t c v duy tr s cng bng (quyn li v ngha v) v s p ng nhu cu nhn s (lng, o to, pht trin nng lc ngh nghip...) nhm nng cao hiu sut cng vic ca DATun th lut lao ng v cc quy tc**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.2 M hnh QLNS DAM hnh qun l dng chc nngM hnh qun l dng d nM hnh qun l dng ma trn**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.3 Cc hot ng QLNS DA**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.3 Cc hot ng QLNS DA**Lp k hoch nhn s l qu trnh xc nh nhu cu nhn s, xy dng chnh sch nhn s v cc chng trnh hnh ng nhm c c ngun nhn lc p ng vic thc hin mc tiu d nBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • K thut phn tch nhu cu NS**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.3 Cc hot ng QLNS DA**Xy dng nhn s d n l qu trnh chnh thc thnh lp i ng nhn s ca d n: thnh lp i, tuyn chn nhn s, xc nh cch thc hot ng ca i. Cu hi: Lm th no c c i d n ng theo k hoch nhn sBi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • K thut tuyn chn nhn s**Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • 4.1.3 Cc hot ng QLNS DA**Pht trin i d n l qu trnh nng cao nng lc, tng tc nhm v mi trng hot ng chung tng cng hiu sut d n. Bi ging mn hc Qun l d n www.ptit.edu.vn

    Bi ging mn hc Qun l d n www.ptit.edu.vn

  • K thut pht trin i d n**Forming: Hnh thnh. Cc thnh vin gp g, trao i v d n. E d, t ci mStorming: u tranh. Trao i cng vic, cc quyt nh k thut, cch tip cn d n. Tranh ginh v tr, c gng khng nh mnhNorming: Hon thin. Thng nht v thit lp cc thng l v quy nh cng vic. Bt u tin tng, lm vic cng nhauPerforming: Pht trin. ng lng nht tr v mc tiu chung. Thc hin c hiu qu cc mc tiu t raAdjourning: Kt thc. Hon thin, chuyn sang d n khcBi ging mn hc Qun l d n www.ptit.edu.vn

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  • 4.2.2 Quy trnh thc hinHoch nh nhu cu/kt quK hoch qun l TKTM : M t chi tit cc quy trnh t lc bt u c nhu cu TKTM cho n lc hp ng TKTM kt thcH s mi thu: theo quy nh ca lut u thu

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  • 4.2.2 Quy trnh thc hinThc hin k hoch mua bn**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • 4.2.2 Quy trnh thc hinQun l hot ng mua bn**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • Qun l hp ngHp ng trn gi: l hp ng theo gi khon gnHp ng cha kha trao tay: l hp ng bao gm ton b cc cng vic c thc hin thng qua mt nh thu.- Hp ng c iu chnh gi: ti thi im k kt hp ng khng iu kin xc nh chnh xc v s lng v khi lng /bin ng ln v gi c**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • Qun l hp ngHp ng c nh gi: l hp ng theo gi khon gn (Fix Price)Hp ng cha kha trao tay: l hp ng bao gm ton b cc cng vic c thc hin thng qua mt nh thu.- Hp ng c iu chnh gi (Cost Reimbursable): ti thi im k kt hp ng khng iu kin xc nh chnh xc v s lng v khi lng /bin ng ln v gi c**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • Xy dng CSDL hp ng

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  • Bng cu trc phn chia cng vic WBS**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • Bng cu trc phn chia cng vic WBSMc chi tit v giai on kim sot Thi gian kim sot nh th no l hp l?**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • S GANTT**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • S GANTT**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • *CHNG 6: QUN L CHI PH D NBi ging mn hc Qun l d n www.ptit.edu.vnGing vin: ThS Th Lan AnhB mn: Qun l d n Khoa Ti chnh K tonHc vin Cng ngh Bu chnh Vin thng

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  • K thut d ton chi phc tnh t trn xung (Top down)c tnh t di ln (Bottom-up)c tnh tng t (Analogous Estimate)c tnh tham s (Parametric Estimate)c tnh bnh qun (Three-point Estimate)**Bi ging mn hc Qun l d n www.ptit.edu.vn

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  • Kinh doanh dch v Photocopy**Bi ging mn hc Qun l d n www.ptit.edu.vn

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    Sheet2

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    Sn phmX1X2

    Sn lngTng li nhun

    Li nhun n v1502000

    Cc rng buc s dngNgun lc

    A1110200

    A29601566

    A3121602880

    V XerTech

    XerTech Copy Inc.

    Chi ph trung bnh hng thng / my copyS my thu mua40

    Chi ph thu mua$250.00

    Chi ph dch v copy$35.00Gi mt trang copy$0.05

    Chi ph c nh khc$50.00Chi ph bin i / trang copy$0.03

    Chi ph c nhChnh lch / trang copy$0.02

    Chi ph thu a im$150.00

    Thu hng thng

    S trang copies / Thng / My copy30,000

    Thu nhp

    Chi ph hng bn

    L

    Chi ph hnh chnh

    Thu nhp rng

    XerTech (1)

    XerTech Copy Inc.

    Chi ph trung bnh hng thng / my copyS my thu mua40

    Chi ph thu mua$250.00

    Chi ph dch v copy$35.00Gi mt trang copy$0.05

    Chi ph c nh khc$50.00Chi ph bin i / trang copy$0.03

    Chi ph c nh$335.00Chnh lch / trang copy$0.02

    Chi ph thu a im$150.00

    Monthly

    S trang copies / Thng / My copy10,00015,00020,00025,00030,00035,00040,000

    Thu nhp

    Chi ph hng bn

    chenh lech

    Chi ph hnh chnh

    Thu nhp rng

    XerTech (1)

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    Thu nhp

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    Chi ph hnh chnh

    Thu nhp rng

    Copies/Month/Copier

    Revenue & Cost vs Copier Volume

    Thue Copier Unicode

    D N A - HNG MC CNG TRNHLA CHN 1PA 1PA 2PA 3PA 4PA 5PA 6PA 7PA 8

    CHI PH C NH/THNG/COPIERS MY THU40S TRANG / THNG / MY30,00010,00015,00020,00025,00030,00035,00040,000

    CHI PH THU MY$250.00VI MT TRANG COPYTHU NHP$0$0$0$0$0$0$0$0

    CHI PH NGI PHC V$35.00GI CHO MT TRANG$0.05CHI PH HNG BN$0$0$0$0$0$0$0$0

    CHI PH C NH KHC$50.00CHI PH BIN I$0.03CHNH LCH$0$0$0$0$0$0$0$0

    TNG CHI C NH$335.00LI$0.02CHI PH C NH$0$0$0$0$0$0$0$0

    THU NHP RNG$0$0$0$0$0$0$0$0

    LA CHN 1LA CHN 2LA CHN 3Data/What-If Analysis/Data Table

    CHI PH A IM NH TRCPH A IM + PH HOA HNG

    S TRANG COPIES/THNG/MY30,00030,00030,000

    CHI PH THU A IM$150.00$50.00$75.00

    PH HOA HNG/ TRANG COPY$0.005$0.01

    NGNG TR HOA HNG20,000

    THU NHP HNG THNGKHNG C PH HOA HNGPHI TR PH HOA HNGHOA HNG KHI VT NGNG

    THU NHP

    CHI PH HNG BN

    CHNH LCH

    CHI PH C NH

    THU NHP RNG

    DATA TABLE -- LA CHN 2

    S TRANG / THNG / MY10000150002000025000300003500040000

    THU NHP$60,000

    24,25025,66721,000CHI PH HNG BN$42,000

    L$18,000

    CHI PH HNH CHNH QUN TR$15,400

    THU NHP RNG$2,600

    DATA TABLE -- LA CHN 3

    S TRANG / THNG / MY10000150002000025000300003500040000

    THU NHP$60,000

    CHI PH HNG BN$40,000

    L$20,000

    CHI PH HNH CHNH QUN TR$16,400

    THU NHP RNG$3,600

    XerTech (3)

    XerTech Copy Inc.

    Chi ph trung bnh hng thngS my thu40

    Chi ph thu my$250.00

    Chi ph ngi phc v$35.00Gi cho mt trang$0.05

    Chi ph c nh khc$50.00Chi ph bin i

    Tng chi c nh$335.00

    La chn 1La chn 2La chn 3

    Chi ph a im nh trcPh a im+ Hoa hngPh a im + hoa hng khi > ngng

    S trang Copies/thng/My18,56415,17916,238

    Chi ph bin i / trang copy$0.0239$0.0279$0.0263

    Chi ph a im$150.00$0.00$50.00

    Hoa hng$0.005$0.01

    Ngng20,000

    Thu nhp hng thngKhng c hoa hngC hoa hngHoa hng khi > ngng

    Thu nhp

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    Chnh lch LC1 - LC3$0

    S liu thng

    # trang copy/ my Copier (000)Chi ph sa cha/CopierChi ph sa cha / bn copy

    $0

    10000$0

    12000$0

    14000$0

    16000$0

    18000$0

    20000$0

    22000$0

    24000$0

    26000$0

    28000$0

    30000$0

    32000$0

    34000$0

    36000$0

    38000$0

    40000$0

    42000$0

    44000$0

    46000$0

    48000$0

    50000$0

    52000$0

    54000$0

    56000$0

    58000$0

    60000$0

    XerTech (3)

    Chi ph sa cha/Copier

    XerTech (3) formular

    Chi ph sa cha / bn copy

    Scenario Summary

    Thue Copier ABC

    XerTech Copy Inc.

    Chi ph trung bnh hng thngS my thu40

    Chi ph thu my$250.00

    Chi ph ngi phc v$35.00Gi cho mt trang$0.05

    Chi ph c nh khc$50.00Chi ph bin i

    Tng chi c nh$335.00Li$0.03

    La chn 1La chn 2La chn 3

    Chi ph a im nh trcPh a im+ Hoa hngPh a im + hoa hng khi > ngng

    S trang Copies/thng/My18,56415,17916,238

    Chi ph bin i / trang copy$0.0239$0.0279$0.0263

    Chi ph a im$150.00$0.00$50.00

    Hoa hng$0.005$0.01

    Ngng20,000

    Thu nhp hng thngKhng c hoa hngC hoa hngHoa hng khi > ngng

    Thu nhp

    Chi ph hng bn

    L

    Chi ph hnh chnh

    Thu nhp rng

    Chnh lch LC1 - LC2$0

    Chnh lch LC1 - LC3$0

    S liu thng

    # trang copy/ my Copier (000)Chi ph sa cha/CopierChi ph sa cha / bn copy

    $0

    10000$0

    12000$0

    14000$0

    16000$0

    18000$0

    20000$0

    22000$0

    24000$0

    26000$0

    28000$0

    30000$0

    32000$0

    34000$0

    36000$0

    38000$0

    40000$0

    42000$0

    44000$0

    46000$0

    48000$0

    50000$0

    52000$0

    54000$0

    56000$0

    58000$0

    60000$0

    Ph Hng: im ho vn: Goal seek(B20, 0, B10)

    Thue Copier ABC

    Chi ph sa cha/Copier

    Q 10

    Chi ph sa cha / bn copy

    Shortest Route

    Problem 6-10

    Scenario Summary

    Current Values:Very Low Demand & High PriceLow Demand & High PriceExpected Demand & PriceHigh Demand & Expected PriceVery High Demand & Low Price

    Created by Your NameCreated by Your Name (appears on printouts)Created by Your NameCreated by Your NameCreated by Your NameModified by OPEY A. on 20/03/01

    Changing Cells:

    Copies_Thang_May30,000

    Gia_trang_copy$0.05

    Result Cells:

    Thu_nhap$60,000

    Chi_phi_hang_ban$36,000

    Chi_phi_HC$19,400

    Thu_nhap_rong$4,600

    Notes: Current Values column represents values of changing cells at

    time Scenario Summary Report was created. Changing cells for each

    scenario are highlighted in gray.

    Test policy

    XerTech Copy Inc.La chn 1

    Chi ph trung bnh hng thngS my thu40S trang / thng / my30,00010,00015,00020,00025,00030,00035,00040,000

    Chi ph thu my$250.00Vi mt trang copyThu nhp$0

    Chi ph ngi phc v$35.00Gi cho mt trang$0.05Chi ph hng bn$0

    Chi ph c nh khc$50.00Chi ph bin i$0.03Chnh lch$0

    Tng chi c nh$335.00Li$0.02Chi ph hnh chnh qun tr$0

    Thu nhp rng$0

    La chn 1La chn 2La chn 3

    Chi ph a im nh trcPh a im+ Hoa hngPh a im + hoa hng khi > ngng

    S trang Copies/thng/My

    Chi ph thu a im

    Hoa hng

    Ngng tr hoa hng

    Thu nhp hng thngKhng c hoa hngC hoa hngHoa hng khi vt ngng

    Thu nhp$0$0$0

    Chi ph hng bn$0$0$0

    L$0$0$0

    Chi ph hnh chnh

    Thu nhp rng

    Data Table -- La chn 2

    S trang / thng / my10000150002000025000300003500040000

    Thu nhp$0

    Chi ph hng bn$0

    L$0

    Chi ph hnh chnh qun tr$0

    Thu nhp rng$0

    Data Table -- La chn 3

    S trang / thng / my10000150002000025000300003500040000

    Thu nhp$0

    Chi ph hng bn$0

    L$0

    Chi ph hnh chnh qun tr$0

    Thu nhp rng$0

    Test policy

    &A

    Page &P

    Thu nhp

    Chi ph hng bn

    Chnh lch

    Chi ph hnh chnh qun tr

    Thu nhp rng

    Copies/Month/Copier

    Thu nhp & Chi ph theo sn lng

    Forecast Moving Average

    10

    Data

    Nh my -> Ca hngHng ynHi phngPhc ynVnh ynVit trNng lc

    H ni

    H nam

    Thi bnh

    Nhu cu

    Vn chuyn

    Hng ynHi phngPhc ynVnh ynVit trTotal

    H ni

    H nam

    Thi bnh

    Total0.0

    Tng chi ph:0.0

    &A

    Page &P

    Q 17

    ng i ngn nht

    Lin thng T -> nXP1234567Khong cch T -> nXP1234567

    XPXP

    11

    22

    33

    44

    55

    66

    77

    ng T-> nXP1234567Tng iTotal DistanceXP1234567Total

    XP0XP000000000

    101000000000

    202000000000

    303000000000

    4040000000000

    505000000000

    606000000000

    707000000000

    Tng nTng000000000

    Tng i - Tng n

    Yu cu

    FromTo

    &A

    Page &P

    Forecast Seasonal factors

    Problem 6-10

    G DA ang tnh ton phn tch thu cc thit b v mt bng phc v d n.

    Bng chi ph thu di y th hin chi ph thu mt thit b t u nm i n u nm j (nghn $)

    T cc thng tin ny, hy xc nh phi thu mua bao nhiu ti thiu ho chi ph cho 4 nm tip theo?

    C bao nhiu gii php ti u?

    La chn DA u t

    Thi gian n thi:14ngy

    Mn hcH sS gi n / ngy5

    Ton kinh t7Qy thi gian n tp:70

    Qun l d n5

    Chnh tr3

    Anh vn4

    19

    Mn hcim hin tiim ti thiu

    Ton kinh t35

    Qun l d n45

    Chnh tr25

    Anh vn35

    Mn hcGi hc n

    Ton kinh t21.00

    Qun l d n20.00

    Chnh tr12.70

    Anh vn16.30

    Tng:70Kt qu chung0.00

    SXTK 1

    Moving Average

    Nhc imCoi d liu c vai tr nh nhau i vi hin ti

    u imPhn ng nhanh vi xu hng ngn hn.Trung bnh c trng sSo snh gia hai phng php

    ThngDoanh s(000)ThngDoanh s(000)BngTrng sThngDoanh s(000)D boThngDoanh s(000)

    11,21211,21220001166.666666666780011,21211,212SUMMARY OUTPUT

    21,32121,321100021,32121,321

    31,27831,27850031,27831,278Regression Statistics

    41,34141,34141,34141,336541,341Multiple R0.3075634714

    51,25751,25751,25751,3337651,257R Square0.0945952889

    61,28761,28761,28761,2711661,287Adjusted R Square-0.0060052345

    71,18971,18971,18971,2415271,189Standard Error82.8889423728

    81,11181,11181,11181,1766581,111Observations11

    91,14591,14591,14591,02012591,145

    101,150101,150101,150101,10446101,150ANOVA

    111,298111,298111,298111,174124111,298dfSSMSFSignificance F

    121,331121,331121,331121,35120121,331Regression16460.44545454556460.44545454550.94030613050.3575353867

    1243.33333333331,2431,24315291,243Residual961835.19090909096870.5767676768

    Total1068295.6363636364

    CoefficientsStandard Errort StatP-value

    Intercept1299.827272727360.705251329921.41210594230.000000005

    1-7.66363636367.9031505615-0.96969383340.3575353867

    RESIDUAL OUTPUT

    xy

    ObservationPredicted 1212Residuals21284.5

    11284.536.531276.8

    21276.81.241269.2

    31269.271.851261.5

    41261.5-4.561253.8

    51253.833.271246.2

    61246.2-57.281238.5

    71238.5-127.591230.9

    81230.9-85.9101223.2

    91223.2-73.2111215.5

    101215.582.5121207.9

    111207.9123.1

    SXTK 1

    1212

    Predicted 1212

    1

    1212

    1 Line Fit Plot

    SXTK 2

    Data

    ThngSTT

    Thng 11

    Thng 22

    Thng 33

    Thng 44

    Thng 55

    Thng 66

    Thng 77

    Thng 88

    Thng 99

    Thng 1010

    Thng 1111

    Thng 1212

    dc

    im chn

    SXTK 3

    Doanh s

    Thng199419951996

    1219236243

    2216239238

    3218221224

    4185194194

    5154161162

    6147131153

    7124110138

    893101128

    9127131151

    10148157165

    11161189194

    12198217241

    166174186

    Shipping Routes

    Hng mcABCDEFGHTng gi tr

    Sinh li4010805020580100

    Quyt nh10011010190

    Rng buc

    Chi ph801512065201060100225320

    Not bouth G & H1111

    No D unless A-1100

    Nghin cu la chn nhm d n cn thc hin u t

    C 8 d n vi s liu sau

    Gii hn ngn sch320000

    Khng u t cng vo hai d n G v H (chng thuc l v sn xut thuc l)

    D n D ch c u t khi v ch khi u t vo d n A. Nhng c th u t d n A m khng c d n D

    1. Xy dng bi ton quy hoch nguyn

    2. Dng Excel gii bi ton ti uD nChi phGi tr

    A8040

    B1510

    C12080

    D6550

    E2020

    F105

    G6080

    H100100

    Q 10 (2)

    B(n,p)

    TI MT HNG MC C 100 MY NN T GING HT NHAU V HNH THC V CHT LNG CNG ANG HOT NG.

    XC SUT MY B HNG L NH NHAU, P = 0,053

    TRUNG BNH TRONG MT CA C BAO NHIU MY HNG?

    XC SUT TRONG CA SN XUT C T NHT MT MY TT?

    GS TRONG 1 CA SN XUT, 1 K S CH C TH M BO SA CHA KP THI 3 MY HNG.

    HI CN B TR BAO NHIU K S TRONG MT CA C TH M BO SA CHA TT C MY HNG MT CCH TT NHT.

    A =MT MY BT K B HNG

    P(A)=0.053

    S MY CNG XN XUT100

    X =S MY HNG TRONG CA SN XUT

    Gi X l s my hng trong 100 my cng nghip ang sn xut, tm phn phi

    XP(X)B = (C T NHT MT MY TT) => TM THNG QUA (TT C CC MY U HNG)

    11XC NH S MY HNG K: P(X=K) MAX

    22

    33

    44

    55

    66

    77

    88

    99

    1010

    2020

    3030

    4040

    5050

    6060

    7070

    8080

    9090

    100100

    Q 12

    THI GIAN BO HNH MT SN PHM C QUY NH L 3 NM

    BN C 1 SN PHM150,000.00

    SN PHM HNG TRONG THI GIAN BO HNH(500,000.00)

    TUI TH SN PHM L BIN NGU NHIN, PHN PHI N(4,2 NM; 1,8 NM)

    TRUNG BNH (M)4.2

    LCH CHUN (S)1.8

    S TIN LI CA HNG HY VNG THU C KHI BN MI SN PHM ?

    NU MUN S TIN LI THU C KHI BN MI SN PHM L 50.000 TH PHI QUY NH THI GIAN BO HNH L BAO NHIU LU ?

    Guarding

    Phn phi chunN(0,1)

    Nu mt phn phi c m 0 hoc s 1 th phi chun ho bng bin Z

    Z = (X - m) / s

    Phn phi c m = 8, s =3

    TmP (X 10)

    P(10< X =L5:L11

    1

    2

    3

    6

    7

    4

    5

    8

    A

    B

    C

    E

    D

    G

    F

    Staffing 1.2

    24

    x1x2x3x4x5x6x7x8TngYu cu

    110010104

    Ph A1121

    Ph B1011

    Ph C0111

    Ph D1011

    Ph E0111

    Ph F1011

    Ph G1011

    Ph H0111

    Ph I1011

    Ph J1011

    Ph K0111

    Ph A

    Ph E

    Ph B

    Ph C

    Ph D

    Ph G

    Ph I

    Ph H

    Ph K

    Ph J

    1

    2

    3

    5

    4

    8

    7

    6

    Ph F

    Staffing 2

    m hnh lung ln nht

    Kh nng T -> nTrm 1Trm 2Trm 3Trm 4Trm 5Trm 6

    Trm 10

    Trm 2002

    Trm 30

    Trm 40

    Trm 50

    LungT -> nTrm 1Trm 2Trm 3Trm 4Trm 5Trm 6Tng xut

    Trm 1

    Trm 2

    Trm 3

    Trm 4

    Trm 5

    tng ti/nhp00000

    &A

    Page &P

    1

    2

    3

    4

    5

    6

    Recruitment

    Lp ngn sch Marketing

    QuQu IQu IIQu IIIQu IVTng cng

    H s ma v0.91.10.81.2

    Thu nhp

    Slng bn4,6867,0003,7028,330

    Doanh s bn[$VND] 0

    Chi ph bn0

    Li gp0

    Chi ph

    Lao ng80008,0009,0009,00034,000

    Qung co19,12730,05414,48336,336100,0000%

    Chi ph khc

    Tng chi ph

    Li nhun[$VND] 0[$VND] 0[$VND] 0[$VND] 0[$VND] 0

    T sut

    Gi bn[$VND] 40

    Gi thnh[$VND] 25

    The following examples show you how to work with the model above to solve for one value or several

    values to maximize or minimize another value, enter and change constraints, and save a problem model.

    RowContainsExplanation

    3Fixed valuesSeasonality factor: sales are higher in quarters 2 and 4,

    and lower in quarters 1 and 3.

    5=35*B3*(B12+3000)^0.5Forecast for units sold each quarter: row 3 contains

    the seasonality factor; row 11 contains the cost of

    advertising.

    6=B5*$B$18Sales revenue: forecast for units sold (row 5) times

    price (cell B18).

    7=B5*$B$19Cost of sales: forecast for units sold (row 5) times

    product cost (cell B19).

    8=B6-B7Gross margin: sales revenues (row 6) minus cost of

    sales (row 7).

    10Fixed valuesSales personnel expenses.

    11Fixed valuesAdvertising budget (about 6.3% of sales).

    12=0.15*B6Corporate overhead expenses: sales revenues (row 6)

    times 15%.

    13=SUM(B10:B12)Total costs: sales personnel expenses (row 10) plus

    advertising (row 11) plus overhead (row 12).

    15=B8-B13Product profit: gross margin (row 8) minus total costs

    (row 13).

    16=B15/B6Profit margin: profit (row 15) divided by sales revenue

    (row 6).

    18Fixed valuesProduct price.

    19Fixed valuesProduct cost.

    This is a typical marketing model that shows sales rising from a base figure (perhaps due to the sales

    personnel) along with increases in advertising, but with diminishing returns. For example, the first

    $5,000 of advertising in Q1 yields about 1,092 incremental units sold, but the next $5,000 yields only

    about 775 units more.

    You can use Solver to find out whether the advertising budget is too low, and whether advertising

    should be allocated differently over time to take advantage of the changing seasonality factor.

    Solving for a Value to Maximize Another Value

    One way you can use Solver is to determine the maximum value of a cell by changing another cell. The

    two cells must be related through the formulas on the worksheet. If they are not, changing the value in

    one cell will not change the value in the other cell.

    For example, in the sample worksheet, you want to know how much you need to spend on advertising

    to generate the maximum profit for the first quarter. You are interested in maximizing profit by changing

    advertising expenditures.

    n

    You will see messages in the status bar as the problem is set up and Solver starts working. After a

    moment, you'll see a message that Solver has found a solution. Solver finds that Q1 advertising of

    $17,093 yields the maximum profit $15,093.

    n

    discard the results and return cell B11 to its former value.

    Resetting the Solver Options

    Solving for a Value by Changing Several Values

    You can also use Solver to solve for several values at once to maximize or minimize another value. For

    example, you can solve for the advertising budget for each quarter that will result in the best profits for

    the entire year. Because the seasonality factor in row 3 enters into the calculation of unit sales in row 5

    as a multiplier, it seems logical that you should spend more of your advertising budget in Q4 when the

    sales response is highest, and less in Q3 when the sales response is lowest. Use Solver to determine

    the best quarterly allocation.

    n

    n

    discard the results and return all cells to their former values.

    You've just asked Solver to solve a moderately complex nonlinear optimization problem; that is, to find

    values for the four unknowns in cells B11 through E11 that will maximize profits. (This is a nonlinear

    problem because of the exponentiation that occurs in the formulas in row 5). The results of this

    unconstrained optimization show that you can increase profits for the year to $79,706 if you spend

    $89,706 in advertising for the full year.

    However, most realistic modeling problems have limiting factors that you will want to apply to certain

    values. These constraints may be applied to the target cell, the changing cells, or any other value that

    is related to the formulas in these cells.

    Adding a Constraint

    So far, the budget recovers the advertising cost and generates additional profit, but you're reaching a

    point of diminishing returns. Because you can never be sure that your model of sales response to

    advertising will be valid next year (especially at greatly increased spending levels), it doesn't seem

    prudent to allow unrestricted spending on advertising.

    Suppose you want to maintain your original advertising budget of $40,000. Add the constraint to the

    problem that limits the sum of advertising during the four quarters to $40,000.

    n

    (advertising total) on the worksheet. Cell F11 must be less than or equal to $40,000.

    n

    to discard the results and return the cells to their former values.

    The solution found by Solver allocates amounts ranging from $5,117 in Q3 to $15,263 in Q4. Total

    Profit has increased from $69,662 in the original budget to $71,447, without any increase in the

    advertising budget.

    Changing a Constraint

    When you use Microsoft Excel Solver, you can experiment with slightly different parameters to decide

    the best solution to a problem. For example, you can change a constraint to see whether the results

    are better or worse than before. In the sample worksheet, try changing the constraint on advertising

    dollars to $50,000 to see what that does to total profits.

    n

    displayed on the worksheet.

    Solver finds an optimal solution that yields a total profit of $74,817. That's an improvement of $3,370

    over the last figure of $71,447. In most firms, it's not too difficult to justify an incremental investment of

    $10,000 that yields an additional $3,370 in profit, or a 33.7% return on investment. This solution also

    results in profits of $4,889 less than the unconstrained result, but you spend $39,706 less to get there.

    Saving a Problem Model

    dialog box are attached to the worksheet and retained when you save the workbook. However, you

    on the active cell, as the area for saving the model. The suggested range includes a cell for each

    constraint plus three additional cells. Make sure that this cell range is an empty range on the

    worksheet.

    n

    this reference as the upper-left corner of the range into which it will copy the problem specifications.

    017250

    25002336611

    50002817481

    75003228410

    100003592364

    125003922330

    150004226304

    175004510284

    200004777267

    225005030253

    &F

    Page &P

    Recruitment

    Recruitment (2)

    Bng phn cng lao ng cho mt hng mc DA

    KpNgy nghNhn vinCNT.HaiT.BaT.TT.NmT.SuT.By

    ACN, T210011111

    BT2, T371001111

    CT3, T471100111

    DT4, T531110011

    ET5, T661111001

    FT6, T701111100

    GT7, CN00111110

    Tng s NV24chia thnh 5 nhm

    S lao ng trong ngy23161014151824

    CNT.HaiT.BaT.TT.NmT.SuT.By

    Tng nhu cu trong ngy2215101410102422151014101024

    Tng s ngy cng d tha151100580

    Tng s ngy cng thiu ht0

    0

    0

    100

    Cutting

    Security Force SchedultingRequiremts

    Shift#1#2#3#4#5#6Total #

    # on Shift078012532

    ConstraintsResource AvailableTotalExcess

    Mid. - 4am115>50

    4am - 8 am117>7-0

    8am - Noon1115>15-0

    Noon - 4pm118>71

    4pm - 8pm1112>120

    8pm - Mid.1117>98

    &A

    Page &P

    Queing

    25

    Nhn vinCng vic

    12345

    A382103

    B87297

    C64275

    D84235

    E9106910

    Nhn vinCng vic

    12345

    A0.00.00.00.011

    B0.00.010.001

    C0.010.00.001

    D0.000.010.01

    E10.00.00.001

    1111121

    Nhn vinCng vic

    12345

    A0.00.00.00.03

    B0.00.020.00

    C0.040.00.00

    D0.000.030.0

    E90.00.00.00

    Tng chi ph21

    Q 20

    13

    Cng trngCh tiu tuyn lao ngKhong cch n cng trng

    Vng thiu sKhu vc 1

    ABCDE

    H ng1,50020121045

    Nam h2,0001518865Khoang_cach_den_truong

    Dn s3,5005004503001,0001,000

    Nng lcDaansoos

    Cng trngTng s lao ng c tuynGii php

    Vng thiu sKhu vc 1

    ABCDE

    H ng1,500225200125475475

    Nam h1,750275250175525525Giaiphap_Tuyensinh

    S tuyn3,2505004503001,0001,000

    0.0Soos_Tuyeenr

    Di hocTng khong cch:28,225

    Tong_Duongdi

    T l lao ng a phngYu cu

    MinMaxTarget Cell

    38%30%40%Changing cells

    Contraints

    TyleHSDTMinMax

    Lu : gii c, phi tm cho vo mt gii php khc khng

    bt k trnh li #/DIV! 0 (khng th chia mt s cho 0).

    trong TyleHSDT (t l hc sinh dn tc)

    Q 7

    13

    Cng trngCh tiu tuyn lao ng ti thiuKhong cch n cng trng

    a phngNi khc

    ABCDE

    H ng1,50020121045

    Nam h2,0001518865

    Dn s5004503001,0001,000

    Nng lc

    Cng trngTng s lao ng c tuynGii php

    a phngNi khc

    ABCDE

    H ng1,50017138909390

    Nam h1,75032961300611,000

    S tuyn3,2505004503001,0001,000

    0.0

    Tng khong cch:25,641

    T l lao ng a phng hin tiYu cu

    MinMaxTarget Cell

    38%30%40%Changing cells

    Contraints

    MinMax

    Lu : gii c, phi tm cho vo mt gii php khc khng

    bt k trnh li #/DIV! 0 (khng th chia mt s cho 0).

    trong TyleHSDT (t l hc sinh dn tc)

    Q8

    Phn xng Thp ca Cng ty xy lp Bu in mua thp xy dng t Trung tm gang thp Thi nguyn phc v nhu cu xy lp cng trnh.Thp c cung cp di dng tng thanh, chiu di l 20m.

    Theo yu cu ca b phn Xy dng, Phn xng Thp phi cung cp 150 on thp di 5m, 200 on thp di 7 m, 300 on thp di 9 m. thc hin yu cu ny, Phn xng phi ct mi thanh thp 20 m ra lm nhiu on con c chiu di hoc 5 m, hoc 7 m ho

    Phng n ctChiu di phn on (m)Tha

    579

    # 10114

    # 22103

    # 32011

    # 44000

    # 51201

    # 60022

    di cun dy (m)20

    Sheet1

    8

    345

    Tng s tu n:1,8641,8641,864

    n gi bc d ($ / tu):600600600

    Mt do khng gii phng c tu trong ngy ($ / tu):200200200

    Tng thit hi ($):0.00.00.0

    Tit kim nu tng cng sut d hng ($):

    u t cn thit tng cng sut d hng ($):

    Li nhun thu c ca u t ($):

    Thi gian m phng:2(nm)

    Ngy thS tu nNng lc 3 tu / ngyNng lc 4 tu / ngyNng lc 5 tu / ngyBng tn sut

    S tu cn bc dS tu cn bc dS tu c d hngS tu cha c d hngS tu cn bc dS tu c d hngS tu cha c d hngS tu n / ngyTn sut

    033010%

    122115%

    211225%

    333325%

    444415%

    544510%

    655

    700

    822

    944

    1011

    1111

    1200

    1300

    1411

    1511

    1600

    1722

    1822

    1933

    2022

    2122

    2222

    2355

    2422

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    2622

    2755

    2844

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    My tnhLoaMy In

    S lng s sn xut25015050

    B phnKhoS dng

    Khung450300101

    n hnh250250100

    Loa800800220

    Ngun450400110

    Trng in5050001

    H thng in600450111

    Li nhun n v751050

    Tng$18,750$1,500$2,500

    Cng$22,750

    22750.0000000113

    20

    &f

    Page &p

    Bn knh pht ti a30

    Trm pht2433

    Lai chu344

    Sn la727

    Lo cai1345

    H giang2245

    Yn bi1839

    Tuyn quang2736

    Bc Kn3239

    Qung ninh4527

    Ho bnh2225

    Thanh ho3012

    Ngh an227

    Thi bnh3720

    Khong cch bnh qun

    S chuyn bay / ng bay

    KiuS ghS lngABCD

    12053221

    23084332So_chuyen_bay

    350105542

    S khch1,0002,0009001,200Tong_Cau

    MBy_hien_co

    Chi ph / chuyn bayABCD

    $1,000$1,100$1,200$1,500

    $800$900$1,000$1,000

    $600$600$800$900

    Gii php phn my bay / ng bay

    Tng sABCD

    0.00.00.00.00.0

    8330.02Giaiphap_Maybay

    100.0532

    Tong_phan_congTng chi ph vn hnh

    ABCD

    S ch

    ABCD

    Tng cung:Tong_cung

    Thiu ht:

    Pht / Khg khng c phc v

    Tng

    Ketqua

    Minimize

    Contraints

    MBD0016233C.bin

    Sheet2

    Ti u mt mc tiu

    Sn phmX1X2

    Sn lngTng li nhun

    Li nhun n v1502000

    Cc rng buc s dngNgun lc

    A1110200

    A29601566

    A3121602880

    V XerTech

    XerTech Copy Inc.

    Chi ph trung bnh hng thng / my copyS my thu mua40

    Chi ph thu mua$250.00

    Chi ph dch v copy$35.00Gi mt trang copy$0.05

    Chi ph c nh khc$50.00Chi ph bin i / trang copy$0.03

    Chi ph c nhChnh lch / trang copy$0.02

    Chi ph thu a im$150.00

    Thu hng thng

    S trang copies / Thng / My copy30,000

    Thu nhp

    Chi ph hng bn

    L

    Chi ph hnh chnh

    Thu nhp rng

    XerTech (1)

    XerTech Copy Inc.

    Chi ph trung bnh hng thng / my copyS my thu mua40

    Chi ph thu mua$250.00

    Chi ph dch v copy$35.00Gi mt trang copy$0.05

    Chi ph c nh khc$50.00Chi ph bin i / trang copy$0.03

    Chi ph c nh$335.00Chnh lch / trang copy$0.02

    Chi ph thu a im$150.00

    Monthly

    S trang copies / Thng / My copy10,00015,00020,00025,00030,00035,00040,000

    Thu nhp

    Chi ph hng bn

    chenh lech

    Chi ph hnh chnh

    Thu nhp rng

    XerTech (1)

    &A

    Page &P

    Thu nhp

    Chi ph hng bn

    chenh lech

    Chi ph hnh chnh

    Thu nhp rng

    Copies/Month/Copier

    Revenue & Cost vs Copier Volume

    Thue Copier Unicode

    D N A - HNG MC CNG TRNHLA CHN 1PA 1PA 2PA 3PA 4PA 5PA 6PA 7PA 8

    CHI PH C NH/THNG/COPIERS MY THU40S TRANG / THNG / MY30,00010,00015,00020,00025,00030,00035,00040,000

    CHI PH THU MY$250.00VI MT TRANG COPYTHU NHP$0$0$0$0$0$0$0$0

    CHI PH NGI PHC V$35.00GI CHO MT TRANG$0.05CHI PH HNG BN$0$0$0$0$0$0$0$0

    CHI PH C NH KHC$50.00CHI PH BIN I$0.03CHNH LCH$0$0$0$0$0$0$0$0

    TNG CHI C NH$335.00LI$0.02CHI PH C NH$0$0$0$0$0$0$0$0

    THU NHP RNG$0$0$0$0$0$0$0$0

    LA CHN 1LA CHN 2LA CHN 3Data/What-If Analysis/Data Table

    CHI PH A IM NH TRCPH A IM + PH HOA HNG

    S TRANG COPIES/THNG/MY30,00030,00030,000

    CHI PH THU A IM$150.00$50.00$75.00

    PH HOA HNG/ TRANG COPY$0.005$0.01

    NGNG TR HOA HNG20,000

    THU NHP HNG THNGKHNG C PH HOA HNGPHI TR PH HOA HNGHOA HNG KHI VT NGNG

    THU NHP

    CHI PH HNG BN

    CHNH LCH

    CHI PH C NH

    THU NHP RNG

    DATA TABLE -- LA CHN 2

    S TRANG / THNG / MY10000150002000025000300003500040000

    THU NHP$60,000

    24,25025,66721,000CHI PH HNG BN$42,000

    L$18,000

    CHI PH HNH CHNH QUN TR$15,400

    THU NHP RNG$2,600

    DATA TABLE -- LA CHN 3

    S TRANG / THNG / MY10000150002000025000300003500040000

    THU NHP$60,000

    CHI PH HNG BN$40,000

    L$20,000

    CHI PH HNH CHNH QUN TR$16,400

    THU NHP RNG$3,600

    XerTech (3)

    XerTech Copy Inc.

    Chi ph trung bnh hng thngS my thu40

    Chi ph thu my$250.00

    Chi ph ngi phc v$35.00Gi cho mt trang$0.05

    Chi ph c nh khc$50.00Chi ph bin i

    Tng chi c nh$335.00

    La chn 1La chn 2La chn 3

    Chi ph a im nh trcPh a im+ Hoa hngPh a im + hoa hng khi > ngng

    S trang Copies/thng/My18,56415,17916,238

    Chi ph bin i / trang copy$0.0239$0.0279$0.0263

    Chi ph a im$150.00$0.00$50.00

    Hoa hng$0.005$0.01

    Ngng20,000

    Thu nhp hng thngKhng c hoa hngC hoa hngHoa hng khi > ngng

    Thu nhp

    Chi ph hng bn

    L

    Chi ph hnh chnh

    Thu nhp rng

    Chnh lch LC1 - LC2$0

    Chnh lch LC1 - LC3$0

    S liu thng

    # trang copy/ my Copier (000)Chi ph sa cha/CopierChi ph sa cha / bn copy

    $0

    10000$0

    12000$0

    14000$0

    16000$0

    18000$0

    20000$0

    22000$0

    24000$0

    26000$0

    28000$0

    30000$0

    32000$0

    34000$0

    36000$0

    38000$0

    40000$0

    42000$0

    44000$0

    46000$0

    48000$0

    50000$0

    52000$0

    54000$0

    56000$0

    58000$0

    60000$0

    XerTech (3)

    Chi ph sa cha/Copier

    XerTech (3) formular

    Chi ph sa cha / bn copy

    Scenario Summary

    Thue Copier ABC

    XerTech Copy Inc.

    Chi ph trung bnh hng thngS my thu40

    Chi ph thu my$250.00

    Chi ph ngi phc v$35.00Gi cho mt trang$0.05

    Chi ph c nh khc$50.00Chi ph bin i

    Tng chi c nh$335.00Li$0.03

    La chn 1La chn 2La chn 3

    Chi ph a im nh trcPh a im+ Hoa hngPh a im + hoa hng khi > ngng

    S trang Copies/thng/My18,56415,17916,238

    Chi ph bin i / trang copy$0.0239$0.0279$0.0263

    Chi ph a im$150.00$0.00$50.00

    Hoa hng$0.005$0.01

    Ngng20,000

    Thu nhp hng thngKhng c hoa hngC hoa hngHoa hng khi > ngng

    Thu nhp

    Chi ph hng bn

    L

    Chi ph hnh chnh

    Thu nhp rng

    Chnh lch LC1 - LC2$0

    Chnh lch LC1 - LC3$0

    S liu thng

    # trang copy/ my Copier (000)Chi ph sa cha/CopierChi ph sa cha / bn copy

    $0

    10000$0

    12000$0

    14000$0

    16000$0

    18000$0

    20000$0

    22000$0

    24000$0

    26000$0

    28000$0

    30000$0

    32000$0

    34000$0

    36000$0

    38000$0

    40000$0

    42000$0

    44000$0

    46000$0

    48000$0

    50000$0

    52000$0

    54000$0

    56000$0

    58000$0

    60000$0

    Ph Hng: im ho vn: Goal seek(B20, 0, B10)

    Thue Copier ABC

    Chi ph sa cha/Copier

    Q 10

    Chi ph sa cha / bn copy

    Shortest Route

    Problem 6-10

    Scenario Summary

    Current Values:Very Low Demand & High PriceLow Demand & High PriceExpected Demand & PriceHigh Demand & Expected PriceVery High Demand & Low Price

    Created by Your NameCreated by Your Name (appears on printouts)Created by Your NameCreated by Your NameCreated by Your NameModified by OPEY A. on 20/03/01

    Changing Cells:

    Copies_Thang_May30,000

    Gia_trang_copy$0.05

    Result Cells:

    Thu_nhap$60,000

    Chi_phi_hang_ban$36,000

    Chi_phi_HC$19,400

    Thu_nhap_rong$4,600

    Notes: Current Values column represents values of changing cells at

    time Scenario Summary Report was created. Changing cells for each

    scenario are highlighted in gray.

    Test policy

    XerTech Copy Inc.La chn 1

    Chi ph trung bnh hng thngS my thu40S trang / thng / my30,00010,00015,00020,00025,00030,00035,00040,000

    Chi ph thu my$250.00Vi mt trang copyThu nhp$0

    Chi ph ngi phc v$35.00Gi cho mt trang$0.05Chi ph hng bn$0

    Chi ph c nh khc$50.00Chi ph bin i$0.03Chnh lch$0

    Tng chi c nh$335.00Li$0.02Chi ph hnh chnh qun tr$0

    Thu nhp rng$0

    La chn 1La chn 2La chn 3

    Chi ph a im nh trcPh a im+ Hoa hngPh a im + hoa hng khi > ngng

    S trang Copies/thng/My

    Chi ph thu a im

    Hoa hng

    Ngng tr hoa hng

    Thu nhp hng thngKhng c hoa hngC hoa hngHoa hng khi vt ngng

    Thu nhp$0$0$0

    Chi ph hng bn$0$0$0

    L$0$0$0

    Chi ph hnh chnh

    Thu nhp rng

    Data Table -- La chn 2

    S trang / thng / my10000150002000025000300003500040000

    Thu nhp$0

    Chi ph hng bn$0

    L$0

    Chi ph hnh chnh qun tr$0

    Thu nhp rng$0

    Data Table -- La chn 3

    S trang / thng / my10000150002000025000300003500040000

    Thu nhp$0

    Chi ph hng bn$0

    L$0

    Chi ph hnh chnh qun tr$0

    Thu nhp rng$0

    Test policy

    &A

    Page &P

    Thu nhp

    Chi ph hng bn

    Chnh lch

    Chi ph hnh chnh qun tr

    Thu nhp rng

    Copies/Month/Copier

    Thu nhp & Chi ph theo sn lng

    Forecast Moving Average

    10

    Data

    Nh my -> Ca hngHng ynHi phngPhc ynVnh ynVit trNng lc

    H ni

    H nam

    Thi bnh

    Nhu cu

    Vn chuyn

    Hng ynHi phngPhc ynVnh ynVit trTotal

    H ni

    H nam

    Thi bnh

    Total0.0

    Tng chi ph:0.0

    &A

    Page &P

    Q 17

    ng i ngn nht

    Lin thng T -> nXP1234567Khong cch T -> nXP1234567

    XPXP

    11

    22

    33

    44

    55

    66

    77

    ng T-> nXP1234567Tng iTotal DistanceXP1234567Total

    XP0XP000000000

    101000000000

    202000000000

    303000000000

    4040000000000

    505000000000

    606000000000

    707000000000

    Tng nTng000000000

    Tng i - Tng n

    Yu cu

    FromTo

    &A

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    Forecast Seasonal factors

    Problem 6-10

    G DA ang tnh ton phn tch thu cc thit b v mt bng phc v d n.

    Bng chi ph thu di y th hin chi ph thu mt thit b t u nm i n u nm j (nghn $)

    T cc thng tin ny, hy xc nh phi thu mua bao nhiu ti thiu ho chi ph cho 4 nm tip theo?

    C bao nhiu gii php ti u?

    La chn DA u t

    Thi gian n thi:14ngy

    Mn hcH sS gi n / ngy5

    Ton kinh t7Qy thi gian n tp:70

    Qun l d n5

    Chnh tr3

    Anh vn4

    19

    Mn hcim hin tiim ti thiu

    Ton kinh t35

    Qun l d n45

    Chnh tr25

    Anh vn35

    Mn hcGi hc n

    Ton kinh t21.00

    Qun l d n20.00

    Chnh tr12.70

    Anh vn16.30

    Tng:70Kt qu chung0.00

    SXTK 1

    Moving Average

    Nhc imCoi d liu c vai tr nh nhau i vi hin ti

    u imPhn ng nhanh vi xu hng ngn hn.Trung bnh c trng sSo snh gia hai phng php

    ThngDoanh s(000)ThngDoanh s(000)BngTrng sThngDoanh s(000)D boThngDoanh s(000)

    11,21211,21220001166.666666666780011,21211,212SUMMARY OUTPUT

    21,32121,321100021,32121,321

    31,27831,27850031,27831,278Regression Statistics

    41,34141,34141,34141,336541,341Multiple R0.3075634714

    51,25751,25751,25751,3337651,257R Square0.0945952889

    61,28761,28761,28761,2711661,287Adjusted R Square-0.0060052345

    71,18971,18971,18971,2415271,189Standard Error82.8889423728

    81,11181,11181,11181,1766581,111Observations11

    91,14591,14591,14591,02012591,145

    101,150101,150101,150101,10446101,150ANOVA

    111,298111,298111,298111,174124111,298dfSSMSFSignificance F

    121,331121,331121,331121,35120121,331Regression16460.44545454556460.44545454550.94030613050.3575353867

    1243.33333333331,2431,24315291,243Residual961835.19090909096870.5767676768

    Total1068295.6363636364

    CoefficientsStandard Errort StatP-value

    Intercept1299.827272727360.705251329921.41210594230.000000005

    1-7.66363636367.9031505615-0.96969383340.3575353867

    RESIDUAL OUTPUT

    xy

    ObservationPredicted 1212Residuals21284.5

    11284.536.531276.8

    21276.81.241269.2

    31269.271.851261.5

    41261.5-4.561253.8

    51253.833.271246.2

    61246.2-57.281238.5

    71238.5-127.591230.9

    81230.9-85.9101223.2

    91223.2-73.2111215.5

    101215.582.5121207.9

    111207.9123.1

    SXTK 1

    1212

    Predicted 1212

    1

    1212

    1 Line Fit Plot

    SXTK 2

    Data

    ThngSTT

    Thng 11

    Thng 22

    Thng 33

    Thng 44

    Thng 55

    Thng 66

    Thng 77

    Thng 88

    Thng 99

    Thng 1010

    Thng 1111

    Thng 1212

    dc

    im chn

    SXTK 3

    Doanh s

    Thng199419951996

    1219236243

    2216239238

    3218221224

    4185194194

    5154161162

    6147131153

    7124110138

    893101128

    9127131151

    10148157165

    11161189194

    12198217241

    166174186

    Shipping Routes

    Hng mcABCDEFGHTng gi tr

    Sinh li4010805020580100

    Quyt nh10011010190

    Rng buc

    Chi ph801512065201060100225320

    Not bouth G & H1111

    No D unless A-1100

    Nghin cu la chn nhm d n cn thc hin u t

    C 8 d n vi s liu sau

    Gii hn ngn sch320000

    Khng u t cng vo hai d n G v H (chng thuc l v sn xut thuc l)

    D n D ch c u t khi v ch khi u t vo d n A. Nhng c th u t d n A m khng c d n D

    1. Xy dng bi ton quy hoch nguyn

    2. Dng Excel gii bi ton ti uD nChi phGi tr

    A8040

    B1510

    C12080

    D6550

    E2020

    F105

    G6080

    H100100

    Q 10 (2)

    B(n,p)

    TI MT HNG MC C 100 MY NN T GING HT NHAU V HNH THC V CHT LNG CNG ANG HOT NG.

    XC SUT MY B HNG L NH NHAU, P = 0,053

    TRUNG BNH TRONG MT CA C BAO NHIU MY HNG?

    XC SUT TRONG CA SN XUT C T NHT MT MY TT?

    GS TRONG 1 CA SN XUT, 1 K S CH C TH M BO SA CHA KP THI 3 MY HNG.

    HI CN B TR BAO NHIU K S TRONG MT CA C TH M BO SA CHA TT C MY HNG MT CCH TT NHT.

    A =MT MY BT K B HNG

    P(A)=0.053

    S MY CNG XN XUT100

    X =S MY HNG TRONG CA SN XUT

    Gi X l s my hng trong 100 my cng nghip ang sn xut, tm phn phi

    XP(X)B = (C T NHT MT MY TT) => TM THNG QUA (TT C CC MY U HNG)

    11XC NH S MY HNG K: P(X=K) MAX

    22

    33

    44

    55

    66

    77

    88

    99

    1010

    2020

    3030

    4040

    5050

    6060

    7070

    8080

    9090

    100100

    Q 12

    THI GIAN BO HNH MT SN PHM C QUY NH L 3 NM

    BN C 1 SN PHM150,000.00

    SN PHM HNG TRONG THI GIAN BO HNH(500,000.00)

    TUI TH SN PHM L BIN NGU NHIN, PHN PHI N(4,2 NM; 1,8 NM)

    TRUNG BNH (M)4.2

    LCH CHUN (S)1.8

    S TIN LI CA HNG HY VNG THU C KHI BN MI SN PHM ?

    NU MUN S TIN LI THU C KHI BN MI SN PHM L 50.000 TH PHI QUY NH THI GIAN BO HNH L BAO NHIU LU ?

    Guarding

    Phn phi chunN(0,1)

    Nu mt phn phi c m 0 hoc s 1 th phi chun ho bng bin Z

    Z = (X - m) / s

    Phn phi c m = 8, s =3

    TmP (X 10)

    P(10< X =L5:L11

    1

    2

    3

    6

    7

    4

    5

    8

    A

    B

    C

    E

    D

    G

    F

    Staffing 1.2

    24

    x1x2x3x4x5x6x7x8TngYu cu

    110010104

    Ph A1121

    Ph B1011

    Ph C0111

    Ph D1011

    Ph E0111

    Ph F1011

    Ph G1011

    Ph H0111

    Ph I1011

    Ph J1011

    Ph K0111

    Ph A

    Ph E

    Ph B

    Ph C

    Ph D

    Ph G

    Ph I

    Ph H

    Ph K

    Ph J

    1

    2

    3

    5

    4

    8

    7

    6

    Ph F

    Staffing 2

    m hnh lung ln nht

    Kh nng T -> nTrm 1Trm 2Trm 3Trm 4Trm 5Trm 6

    Trm 10

    Trm 2002

    Trm 30

    Trm 40

    Trm 50

    LungT -> nTrm 1Trm 2Trm 3Trm 4Trm 5Trm 6Tng xut

    Trm 1

    Trm 2

    Trm 3

    Trm 4

    Trm 5

    tng ti/nhp00000

    &A

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    1

    2

    3

    4

    5

    6

    Recruitment

    Lp ngn sch Marketing

    QuQu IQu IIQu IIIQu IVTng cng

    H s ma v0.91.10.81.2

    Thu nhp

    Slng bn4,6867,0003,7028,330

    Doanh s bn[$VND] 0

    Chi ph bn0

    Li gp0

    Chi ph

    Lao ng80008,0009,0009,00034,000

    Qung co19,12730,05414,48336,336100,0000%

    Chi ph khc

    Tng chi ph

    Li nhun[$VND] 0[$VND] 0[$VND] 0[$VND] 0[$VND] 0

    T sut

    Gi bn[$VND] 40

    Gi thnh[$VND] 25

    The following examples show you how to work with the model above to solve for one value or several

    values to maximize or minimize another value, enter and change constraints, and save a problem model.

    RowContainsExplanation

    3Fixed valuesSeasonality factor: sales are higher in quarters 2 and 4,

    and lower in quarters 1 and 3.

    5=35*B3*(B12+3000)^0.5Forecast for units sold each quarter: row 3 contains

    the seasonality factor; row 11 contains the cost of

    advertising.

    6=B5*$B$18Sales revenue: forecast for units sold (row 5) times

    price (cell B18).

    7=B5*$B$19Cost of sales: forecast for units sold (row 5) times

    product cost (cell B19).

    8=B6-B7Gross margin: sales revenues (row 6) minus cost of

    sales (row 7).

    10Fixed valuesSales personnel expenses.

    11Fixed valuesAdvertising budget (about 6.3% of sales).

    12=0.15*B6Corporate overhead expenses: sales revenues (row 6)

    times 15%.

    13=SUM(B10:B12)Total costs: sales personnel expenses (row 10) plus

    advertising (row 11) plus overhead (row 12).

    15=B8-B13Product profit: gross margin (row 8) minus total costs

    (row 13).

    16=B15/B6Profit margin: profit (row 15) divided by sales revenue

    (row 6).

    18Fixed valuesProduct price.

    19Fixed valuesProduct cost.

    This is a typical marketing model that shows sales rising from a base figure (perhaps due to the sales

    personnel) along with increases in advertising, but with diminishing returns. For example, the first

    $5,000 of advertising in Q1 yields about 1,092 incremental units sold, but the next $5,000 yields only

    about 775 units more.

    You can use Solver to find out whether the advertising budget is too low, and whether advertising

    should be allocated differently over time to take advantage of the changing seasonality factor.

    Solving for a Value to Maximize Another Value

    One way you can use Solver is to determine the maximum value of a cell by changing another cell. The

    two cells must be related through the formulas on the worksheet. If they are not, changing the value in

    one cell will not change the value in the other cell.

    For example, in the sample worksheet, you want to know how much you need to spend on advertising

    to generate the maximum profit for the first quarter. You are interested in maximizing profit by changing

    advertising expenditures.

    n

    You will see messages in the status bar as the problem is set up and Solver starts working. After a

    moment, you'll see a message that Solver has found a solution. Solver finds that Q1 advertising of

    $17,093 yields the maximum profit $15,093.

    n

    discard the results and return cell B11 to its former value.

    Resetting the Solver Options

    Solving for a Value by Changing Several Values

    You can also use Solver to solve for several values at once to maximize or minimize another value. For

    example, you can solve for the advertising budget for each quarter that will result in the best profits for

    the entire year. Because the seasonality factor in row 3 enters into the calculation of unit sales in row 5

    as a multiplier, it seems logical that you should spend more of your advertising budget in Q4 when the

    sales response is highest, and less in Q3 when the sales response is lowest. Use Solver to determine

    the best quarterly allocation.

    n

    n

    discard the results and return all cells to their former values.

    You've just asked Solver to solve a moderately complex nonlinear optimization problem; that is, to find

    values for the four unknowns in cells B11 through E11 that will maximize profits. (This is a nonlinear

    problem because of the exponentiation that occurs in the formulas in row 5). The results of this

    unconstrained optimization show that you can increase profits for the year to $79,706 if you spend

    $89,706 in advertising for the full year.

    However, most realistic modeling problems have limiting factors that you will want to apply to certain

    values. These constraints may be applied to the target cell, the changing cells, or any other value that

    is related to the formulas in these cells.

    Adding a Constraint

    So far, the budget recovers the advertising cost and generates additional profit, but you're reaching a

    point of diminishing returns. Because you can never be sure that your model of sales response to

    advertising will be valid next year (especially at greatly increased spending levels), it doesn't seem

    prudent to allow unrestricted spending on advertising.

    Suppose you want to maintain your original advertising budget of $40,000. Add the constraint to the