Ch14 Evans BA1e

8/21/2019 Ch14 Evans BA1e

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a. Requirement

b. Limitation (or Bound depending on the text)

c. Balance

d. Proportional relationship

e. Limitation

f. Requirement (or Bound depending on the text)

g. Limitation


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1-BD 2-BD 3-BD

Number to build 40.45 67.42 161.80

Unit Profit 45.00$ 60.00$ 75.00$ 18,000.00$ TOTAL PROFIT

Budget 450.00$ 600.00$ 750.00$ 180,000.00$ =

3 BD Req -0.25 -0.25 0.75 94.38 >=

Based on the sensitivity report below, if we had up to roughly $36 million more, we would make $3.6

Adjustable Cells

Final Reduced Objective Allowable

Cell Name Value Cost Coefficient Increase

$C$4 Number to buil 40.45 - 45 0

$D$4 Number to buil 67.42 - 60 0

$E$4 Number to buil 161.80 - 75 1E+30

Constraints

Final Shadow Constraint Allowable

Cell Name Value Price R.H. Side Increase

$F$7 Budget 180,000.00$ 0.10$ 180000 36937.5

$F$8 Total Units Pos 269.66 - 325 1E+30$F$9 1 BD Req 0.00 - 0 112

$F$10 2 BD Req - - 0 102.4390244

$F$11 3 BD Req 94.38 - 0 94.38202247


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MAX 45 X1 + 60 X2 +75 X3

Subject To

450 X1 + 600 X2 + 750 X3 = 25% ( X1 + X2 + X3)

0 X3 >= 25% ( X1 + X2 + X3)

0 X1, X2, X3 >= 0

0

million more profit.

Allowable

Decrease

445

267

0

Allowable

Decrease

180000

55.3370786537.89473684

63.82978723

1E+30


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Midterm Final Assignments Participation

Weights assigned 20% 60% 10% 10%

>= >= >= >=

10% 10% 10% 10%

SCORES 86% 94% 93% 85% 91%

Participation Bound - - - 1.00 0.10

M vs A 1.00 - (2.00) - 0.00

F vs A - 1.00 (3.00) - 0.30

3 BD Req 1.00 1.00 1.00 1.00 1.00

Intuitive Solution

Participation is the lowest score so it would take the lowest weight, 10%.

The rest would split 90% in the appropriate ratios, with A at 15%, M at 30% and F at 45%


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MAX

Subject To

.86 M + .94 F + .93 A + .85 P

P = 2 AF >= 3 A

= - (=40.625 * 8) M, F, A, P >= 10%

>= - M, F, A, P >= 0

= 1.00


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PREMIUM DUKE GREY BREAKFAST

Pounds to produce 22500 35000 0

Net Profit 0.50$ 0.30$ 0.20$ 21,750.00$ TOTAL PROFIT

Premium Duke Grey Breakfast

Indian 40% 30% 40% 19500


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MAX 0.50 P + 0.30 D + 0.20 B

Subject To

.4 P + .3 D + .4 B


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Young Energy

A B C D

Proportion to Mix 0.2 0 0 0.8 1

Unit Cost $2.49 $3.04 $2.99 $2.61 2.59$

A B C D

Ash% 13% 10% 12% 12% 12.20%

Moisture % 10% 8% 8% 8% 8.40%

BTU/lb 11,500 11,800 12,200 12,100 11,980.00

If the ash% restriction is relaxed, there would be savings. If the restriction level goes dow

Microsoft Excel 14.2 Sensitivity Report

Worksheet: [Evans 1e Ch14 Solutions_AP_rev_2.xlsx]14.5

Report Created: 5/28/2012 12:16:59 PM

Variable Cells

Final Reduced Objective Allowable

Cell Name Value Cost Coefficient Increase

$C$4 Proportion to 0.2 0 2.49 0.12

$D$4 Proportion to 0 0.19 3.04 1E+30

$E$4 Proportion to 0 0.38 2.99 1E+30

$F$4 Proportion to 0.8 0 2.61 0.063333333

Constraints



$G$11 BTU/lb 11980 0 11900 80

$G$4 Proportion to 1 4.05 1 0.016666667

$G$9 Ash% 12.20% -12 12.20% 0.13%

$G$10 Moisture % 8.40% 0 9.40% 1.00E+30


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= 100%

TOTAL COST

Required


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Holcomb Candles

Large jar Small jar Large pillar Small pillar

How many to produce 0 0 258695.6522 0

Profit/unit 0.25$ 0.20$ 0.24$ 0.21$

Wax 0.5 0.25 0.5 0.25

Fragrance 0.24 0.12 0.24 0.12

Wick 0.43 0.22 0.58 0.33

Display feet 0.48 0.24 0.23 0.23

Display for Large Items 0.48 0.23

Display for Votive Packs

More wax, fragrance, wick is not necessary. Every additional foot of display space will increase the p

Every additional feet of display required for votive pacs reduces the profit by $0.43.



$H$8 Wax 139,564.17 - 200000 1E+30

$H$9 Fragrance 66,990.80 - 100000 1E+30

$H$10 Wick 176,197.32 - 250000 1E+30

$H$11 Display feet 68,000.00 1.04 68000 27800.48077

$H$12 Display for Large Items 59,500.00 - 17000 42500$H$13 Disokay for Votive Packs 8,500.00 (0.43) 8500 42500


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Votive pack

32692.30769

0.16$ 67,317.73$ TOTAL PROFIT

AVAILABLE0.3125 139,564.17


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SHOWS 1 2 3 4 5

KM Hall - - 23 16 -

LE Theater 32 49 - 18 35

TOTAL 32 49 23 34 35

>= >= >= >= >=Minimum 32 13 23 34 35

Cost Per Show 968.00$ 1,568.00$ 755.00$ 1,148.00$ 1,180.00$

Revenue Per Show 2,217.00$ 2,330.00$ 1,993.00$ 3,364.00$ 2,868.00$

The highest revenue within the given constraints is roughly $545K.


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6 7 TOTAL

- 21 60 =16 21

1,541.00$ 1,359.00$ 258,700.00$ MINIMIZE TOTAL COST

3,851.00$ 1,836.00$ 545,881.00$


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Jacee's Department Stores

Electronics Furniture Men's Clothing Clothing

MIN 6,000.00 10,000.00 2,000.00 3,000.00


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Jewelry Books Appliances

1,000.00 1,000.00 12,000.00


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Jacee's Department Stores

Electronics Furniture Men's Clothing Clothing

MIN 6,000.00 10,000.00 2,000.00 3,000.00


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Jewelry Books Appliances

1,000.00 1,000.00 12,000.00


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Dara's Investments

1 Large cap

blend

2 Small cap

growth3 Green fund

4 Growth &

income

5 Multi-cap

growth

INVESTED -$ 14,906.91$ 19,875.88$ -$ -$


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$K$5 INVESTED 9 Em 19,875.88$ 0.0815$ 20,000.00 5,930.50

$N$14 SAVINGS Total I 5,000.00$ (0.2664)$ 5,000.00 5,938.09

$N$15 MONEY FUND 13,913.11$ (0.2289)$ 14,000.00 5,938.09

$N$16 INT FUND REQ 39,751.75$ -$ 16,000.00 23,851.05

$N$17 New Invesment 64,596.60$ -$ 30,000.00 34,782.78

$N$18 Current Holdin 34,782.78$ (0.0739)$ 35,000.00 4,970.01

$N$5 INVESTED Total 99,379.38$ 0.2764$ 100,000.00 13,931.94


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6 Mid-cap

index

7 Multi-cap

core

8 Small cap

international

9 Emerging

international

10 Money

market fund

11 Savings

account

Total

Investment

-$ 5,931.73$ 19,875.88$ 19,875.88$ 13,913.11$ 5,000.00$ 99,379.38$


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13,946.51 Investing more in this would be helpful

5,000.00 Less savings may mean more return

13,894.18 Less in money funds may mean more return

1E+30

1E+30

13,938.91 Less in current funds may mean more return

5,938.09 Each additional dollar invested can bring up to 28 cents return for the first $13000


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Available for

InvestmentTOTAL FUNDS

= 99,379.38$ 100,000.00$

20%

TOTAL EXPENSES

TOTAL RETURN

>= 5,000.00$

>= 13,913.11$ 14%

>= 15,900.70$ 16%

>= 29,813.81$ 30%

= 34,782.78$ 35%


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Janette Douglas Bake Sale

Brownies Cupcakes

Peanut Butter

Cups

Shortbread

cookies

MAX 40.00

>=

Number of batches 210.14 147.32 30.00 40.00

>= >= >= >=MIN 100.00 30.00 30.00 30.00

Profit Per Batch 6.00$ 10.00$ 12.00$ 7.50$

Ingredient Brownies Cupcakes

Peanut Butter

Cups

Shortbread

cookies UNITS USED

Butter (cups) 0.67 0.33 1.00 0.75 249.41

Flour (cups) 1.50 1.50 1.25 2.00 653.70

Sugar (cups) 1.75 1.00 2.00 0.25 585.07

Vanilla (tsp) 2.00 0.50 - - 493.94

Eggs 3.00 2.00 1.00 - 955.07

Walnuts (cups) 2.00 - - - 420.28

Milk (cups) 0.50 1.00 2.00 - 312.39

Chocolate (oz) 8.00 2.50 9.00 - 2,319.43

Baking soda (tsp) - 1.00 - - 147.32

Frosting (cups) 0.50 1.50 - 1.00 366.06

Peanut butter (cups) - - 2.50 - 75.00

Units per batch 10 8 8 12 4,000


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3,394.09$ TOTAL PROFIT

Cost/unit

1.44$ $ 2,200.00 = 4,000

TOTAL COST


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Kelly Foods

Chicago Cincinnati Indianapolis Pittsburgh

Ackron 1400 0 0 1400

Evansville 600 1200 2500 0

TOTAL 2000 1200 2500 1400

>= >= >= >=Weekly Demand (cases) 2000 1200 2500 1400

Chicago Cincinnati Indianapolis Pittsburgh

Ackron 1.70$ 2.30$ 2.50$ 2.15$

Evansville 1.95$ 2.35$ 1.65$ 2.95$

TOTAL COST 13,505.00$

Objective Cell (Min)

Cell Name Final Value

$C$15 TOTAL COST Ch 13505

Decision Variable Cells

Final Reduced

Cell Name Value Cost

$C$4 Ackron Chicago 1400 0

$D$4 Ackron Cincinn 0 0.2

$E$4 Ackron Indiana 0 1.1

$F$4 Ackron Pittsbur 1400 0

$C$5 Evansville Chica 600 0$D$5 Evansville Cinci 1200 0

$E$5 Evansville India 2500 0

$F$5 Evansville Pitts 0 0.55

Constraints

Final Shadow

Cell Name Value Price

$C$6 TOTAL Chicago 2000 1.95

$D$6 TOTAL Cincinna 1200 2.35

$E$6 TOTAL Indianap 2500 1.65

$F$6 TOTAL Pittsbur 1400 2.4

$G$4 Ackron TOTAL 2800 -0.25

$G$5 Evansville TOT 4300 0

Per Case Cost of Shipping


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TOTAL Weekly Capacity (cases)

2800


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Liquid Gold, Inc.

Plant S1 S2 S3 S4 TOTAL

P1 - - - 20,876.00 20876 =

P2 - - 50,870.00 - 50870 =

P3 - - - 38,652.00 38652 =

P4 - 28,951.00 - - 28951 =P5 - 87,423.00 - - 87423 =

P6 - 76,190.00 - - 76190 =

P7 - - 58,237.00 - 58237 =

TOTAL 0 192564 109107 38652


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Worksheet: [Evans 1e Ch14 Solutions_AP.xlsx]14.12 AP

Material Report Created: 3/21/2012 12:02:01 PM

20,876.00

50,870.00

38,652.00 Variable Cells

28,951.00 Final Reduced Objective Allowable Allowable87,423.00 Cell Name Value Cost Coefficient Increase Decrease

76,190.00 $C$4 P1 S1 0 82 105 1E+30 82

58,237.00 $D$4 P1 S2 0 63 86 1E+30 63

$E$4 P1 S3 0 976 999 1E+30 976

$F$4 P1 S4 20876 0 23 63 1E+30

$C$5 P2 S1 0 45 86 1E+30 45

$D$5 P2 S2 0 17 58 1E+30 17

$E$5 P2 S3 50870 0 41 17 1E+30

$F$5 P2 S4 0 958 999 1E+30 958

$C$6 P3 S1 0 55 93 1E+30 55

$D$6 P3 S2 0 8 46 1E+30 8

$E$6 P3 S3 0 27 65 1E+30 27

$F$6 P3 S4 38652 0 38 8 1E+30

$C$7 P4 S1 0 89 116 1E+30 89

$D$7 P4 S2 28951 0 27 67 1E+30

$E$7 P4 S3 0 67 94 1E+30 67

$F$7 P4 S4 0 972 999 1E+30 972

$C$8 P5 S1 0 32 88 1E+30 32

$D$8 P5 S2 87423 0 56 26 1E+30

$E$8 P5 S3 0 26 82 1E+30 26

$F$8 P5 S4 0 33 89 1E+30 33$C$9 P6 S1 0 75 111 1E+30 75

$D$9 P6 S2 76190 0 36 36 1E+30

$E$9 P6 S3 0 36 72 1E+30 36

$F$9 P6 S4 0 963 999 1E+30 963

$C$10 P7 S1 0 121 169 1E+30 121

$D$10 P7 S2 0 17 65 1E+30 17

$E$10 P7 S3 58237 0 48 17 1E+30

$F$10 P7 S4 0 951 999 1E+30 951

Constraints

Final Shadow Constraint Allowable Allowable

Cell Name Value Price R.H. Side Increase Decrease

$C$11 TOTAL S1 0 0 285922 1E+30 285922

$D$11 TOTAL S2 192564 0 308578 1E+30 116014

$E$11 TOTAL S3 109107 0 111955 1E+30 2848

$F$11 TOTAL S4 38652 0 208555 1E+30 169903

$G$4 P1 TOTAL 20876 23 20876 1E+30 20876

$G$5 P2 TOTAL 50870 41 50870 2848 50870


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$G$6 P3 TOTAL 38652 38 38652 169903 38652

$G$7 P4 TOTAL 28951 27 28951 116014 28951

$G$8 P5 TOTAL 87423 56 87423 116014 87423

$G$9 P6 TOTAL 76190 36 76190 116014 76190

$G$10 P7 TOTAL 58237 48 58237 2848 58237


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Shafer Office Supplies

Seattle San Francisc Las Vegas Tuscon Denver Charlotte

Atlanta - - - 3,700.00 - -

Lexington - - - - 4,500.00 4,700.00

Milwaukee 5,000.00 - 4,200.00 - - 2,800.00

Salt Lake City - 16,000.00 - - - -TOTAL 5000 16000 4200 3700 4500 7500

>= >= >= >= >= >=

Demand 5000 16000 4200 3700 4500 7500

Seattle San Francisc Las Vegas Tuscon Denver Charlotte

Atlanta 2.15$ 2.10$ 1.75$ 1.50$ 1.20$ 0.65$

Lexington 1.95$ 2.00$ 1.70$ 1.53$ 1.10$ 0.55$

Milwaukee 1.70$ 1.85$ 1.50$ 1.41$ 0.95$ 0.40$

Salt Lake City 0.60$ 0.55$ 0.35$ 0.60$ 0.40$ 0.95$

TOTAL COST 56,335.00$ Answer to a.

b. Milwaukee and SLC plants

c. Based on the shadow prices of the sensitivity report, SLC plant should get the extra suppl

d. The optimal solution does not change, since the change is within the range of optimality.

Decision Variable Cells

Final Reduced Objective Allowable AllowableCell Name Value Cost Coefficient Increase Decrease

$C$4 Atlanta Seat - 0.30 2.15 1E+30 0.3

$D$4 Atlanta San - 0.25 2.1 1E+30 0.25

$E$4 Atlanta Las - 0.10 1.75 1E+30 0.1

$F$4 Atlanta Tusc 3,700.00 - 1.5 0.03 1.5

$G$4 Atlanta Den - 0.10 1.2 1E+30 0.1

$H$4 Atlanta Charl - 0.10 0.65 1E+30 0.1

$I$4 Atlanta Min - 0.35 0.9 1E+30 0.35

$J$4 Atlanta Faye 9,000.00 - 0.8 0.25 0.8

$K$4 Atlanta Birm 3,300.00 - 0.35 0.25 0.35

$L$4 Atlanta Orla 12,000.00 - 0.15 0.35 0.15

$M$4 Atlanta Clev - 0.35 0.6 1E+30 0.35

$N$4 Atlanta Phila - 0.20 0.5 1E+30 0.2

$C$5 Lexington Se - 0.10 1.95 1E+30 0.1

$D$5 Lexington Sa - 0.15 2 1E+30 0.15

$E$5 Lexington La - 0.05 1.7 1E+30 0.05

$F$5 Lexington Tu - 0.03 1.53 1E+30 0.03

$G$5 Lexington D 4,500.00 - 1.1 1E-07 1.1


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$H$5 Lexington Ch 4,700.00 - 0.55 0.05 1E-07

$I$5 Lexington Mi - 0.05 0.6 1E+30 0.05

$J$5 Lexington Fa - 0.25 1.05 1E+30 0.25

$K$5 Lexington Bi - 0.25 0.6 1E+30 0.25

$L$5 Lexington Or - 0.35 0.5 1E+30 0.35

$M$5 Lexington Cl 9,500.00 - 0.25 0.25 0.25

$N$5 Lexington Ph 16,000.00 - 0.3 0.2 0.3$C$6 Milwaukee S 5,000.00 - 1.7 0.05 1.85

$D$6 Milwaukee S - 0.15 1.85 1E+30 0.15

$E$6 Milwaukee L 4,200.00 - 1.5 0.05 0.05

$F$6 Milwaukee T - 0.06 1.41 1E+30 0.06

$G$6 Milwaukee - (0.00) 0.95 1E+30 0

$H$6 Milwaukee 2,800.00 - 0.4 1E-07 0.05

$I$6 Milwaukee 3,000.00 - 0.4 0.05 0.55

$J$6 Milwaukee F - 0.30 0.95 1E+30 0.3

$K$6 Milwaukee - 0.50 0.7 1E+30 0.5

$L$6 Milwaukee - 0.70 0.7 1E+30 0.7

$M$6 Milwaukee - 0.25 0.35 1E+30 0.25

$N$6 Milwaukee P - 0.25 0.4 1E+30 0.25

$C$7 Salt Lake Cit - 0.05 0.6 1E+30 0.05

$D$7 Salt Lake Cit 16,000.00 - 0.55 0.15 1.85

$E$7 Salt Lake Cit - - 0.35 0.05 0.15

$F$7 Salt Lake Cit - 0.40 0.6 1E+30 0.4

$G$7 Salt Lake Cit - 0.60 0.4 1E+30 0.6

$H$7 Salt Lake Cit - 1.70 0.95 1E+30 1.7

$I$7 Salt Lake Cit - 1.75 1 1E+30 1.75

$J$7 Salt Lake Cit - 1.60 1.1 1E+30 1.6

$K$7 Salt Lake Cit - 2.30 1.35 1E+30 2.3$L$7 Salt Lake Cit - 2.75 1.6 1E+30 2.75

$M$7 Salt Lake Cit - 2.65 1.6 1E+30 2.65

$N$7 Salt Lake Cit - 2.70 1.7 1E+30 2.7

Constraints

Final Shadow Constraint Allowable Allowable

Cell Name Value Price R.H. Side Increase Decrease

$C$8 TOTAL Seattl 5000 1.85 5000 300 4700

$D$8 TOTAL San F 16000 1.85 16000 0 4200

$E$8 TOTAL Las V 4200 1.65 4200 300 4200

$F$8 TOTAL Tusco 3700 1.5 3700 12000 3700

$G$8 TOTAL Denv 4500 1.1 4500 300 4500

$H$8 TOTAL Charl 7500 0.55 7500 300 4700

$I$8 TOTAL Minn 3000 0.55 3000 300 3000

$J$8 TOTAL Fayet 9000 0.8 9000 12000 9000

$K$8 TOTAL Birmi 3300 0.35 3300 12000 3300

$L$8 TOTAL Orlan 12000 0.15 12000 12000 12000

$M$8 TOTAL Cleve 9500 0.25 9500 300 9500


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$N$8 TOTAL Phila 16000 0.3 16000 300 16000

$O$4 Atlanta TOT 28000 0 40000 1E+30 12000

$O$5 Lexington T 34700 0 35000 1E+30 300

$O$6 Milwaukee T 15000 -0.15 15000 4700 300

$O$7 Salt Lake Cit 16000 -1.3 16000 4200 0


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Minneapoli Fayetteville Birmingha Orlando Cleveland Philadelphia TOTAL Supply

- 9,000.00 3,300.00 12,000.00 - - 28000 = >= >=

3000 9000 3300 12000 9500 16000

Minneapoli FayettevilleBirmingha Orlando Cleveland Philadelphia

0.90$ 0.80$ 0.35$ 0.15$ 0.60$ 0.50$

0.60$ 1.05$ 0.60$ 0.50$ 0.25$ 0.30$

0.40$ 0.95$ 0.70$ 0.70$ 0.35$ 0.40$

1.00$ 1.10$ 1.35$ 1.60$ 1.60$ 1.70$

.


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Roberto's Honey Farm

PRODUCTION SCHEDULE

.75 kg plastic 1 kg plastic .5 kg glass 1 kg glass

cream 550.00 350.00 350.00 200.00filtered 250.00 240.00 300.00 180.00

pasteurized 360.00 230.00 350.00 300.00

mlange 530.00 300.00 250.00 350.00

strained 480.00 350.00 250.00 380.00

TOTAL PACKAGES 2170 1470 1500 1410

Selling prices (Chilean pesos)


cream 744.00$ 880.00$ 760.00$ 990.00$

filtered 635.00$ 744.00$ 678.00$ 840.00$

pasteurized 696.00$ 821.00$ 711.00$ 930.00$

mlange 669.00$ 787.00$ 683.00$ 890.00$

strained 683.00$ 804.00$ 697.00$ 910.00$

Minimum demand


cream 300 250 350 200

filtered 250 240 300 180

pasteurized 230 230 350 300

mlange 350 300 250 350strained 360 350 250 380

Maximum demand


cream 550 350 470 310

filtered 400 380 440 300

pasteurized 360 390 490 400

mlange 530 410 390 430

strained 480 420 380 500

Package costs (Chilean pesos).75 kg plastic 1 kg plastic .5 kg glass 1 kg glass

91.00$ 112.00$ 276.00$ 351.00$

Harvesting and production costs for each product per kilogram in pesos are

cream 322.00$

filtered 255.00$

pasteurized 305.00$

mlange 272.00$


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strained 287.00$


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Bulk in kg

TOTAL

PRODUCTION

(in kg)

4,742.50 5,880.00 REVENUE 7,963,940.00$- 757.50 PACKAGING COSTS 1,271,020.00$

0.00 975.00 Harvesting & Production Costs 3,051,522.50$

- 1,172.50 PROFIT 5,421,900.00$

- 1,215.00

10,000.00 TOTAL HONE Y NEEDED


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Sanford Tile Company

Grade I Grade II Grade III

Sq Ft Produced 1,500.00 4,375.00 3,750.00

Profit/square foot 2.50$ 4.00$ 5.00$ 40,000.00$ TOTAL PROFIT

Material Used

Clay 50% 30% 25% 6,000.00


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MAX 2.5 G1 + 4 G2 + 5 G3

Subject To

2 * ( 50% G1 + 30% G2 + 25% G3)


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Hansel Corporation

Grade 1 Grade 2 Grade 3 Grade 4

Production Qty (lbs) 44,206.01 - 94,420.60 55,793.99

Profit/lb 2.00$ 1.70$ 1.50$ 2.80$ 386,266.09$

Additive A 0.40 0.37 0.34 0.90 100,000.00

Additive B 0.30 0.33 0.33 - 44,420.60

Additive C 0.20 0.25 0.33 - 40,000.00

Additive D 0.10 0.05 - 0.10 10,000.00

Grade 1 & 2 limit 0.35 0.35 (0.65) (0.65) (82,167.38)

Grade 4 limit (0.25) (0.25) (0.25) 0.75 7,188.84

b. If we have 20000 units less of Additive C, the optimal solution would not change. Allow

c. If grade 2 price goes up to $2, the optimal solution will not change.


Worksheet: [Evans 1e Ch14 Solutions_AP.xlsx]14.16 AP

Report Created: 3/21/2012 5:16:29 PM

Variable Cells

Final Reduced Objective

Cell Name Value Cost Coefficient

$B$4 Production Qty (lbs) G 44206.00858 0 2$C$4 Production Qty (lbs) G 0 -0.019227468 1.7

$D$4 Production Qty (lbs) G 94420.60086 0 1.5

$E$4 Production Qty (lbs) G 55793.99142 0 2.8

Constraints

Final Shadow Constraint

Cell Name Value Price R.H. Side

$F$12 Grade 1 & 2 limit -82167.38197 0 0

$F$13 Grade 4 limit 7188.841202 0 0

$F$8 Additive A 100000 2.420600858 100000

$F$9 Additive B 44420.60086 0 90000

$F$10 Additive C 40000 2.051502146 40000

$F$11 Additive D 10000 6.214592275 10000


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MAX 2 G1 + 1.7 G2 + 1.5 G3 + 2.8 G4

SUBJECT TO

.4 G1 + .37 G2 + .34 G3 + .90 G4


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Mirza Manufacturing

Product Production Cost/unit NA

A 0.25$ 850.00

B 0.35$ 700.00

C 0.15$ 3,300.00

D 0.10$ 1,500.00

Min Demand

Product NA

A 850

B 700

C 1100

D 1500

Max Demand

Product NA

A 2550

B 2100

C 3300

D 4500

Packaging and Shipping Cost/Unit

Product NA

A 0.20$

B 0.18$

C 0.18$

D 0.17$

Unit Sales Revenue

Product NA

A 4.00$

B 3.70$

C 2.70$

D 6.80$

Raw Mat'l Used Product Magnets

A 4B 3

C 2

D 8

USED 108,085.71


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EU Asia TOTAL PRODUCTION

2,700.00 300.00 3,850.00

457.14 1,500.00 2,657.14

2,400.00 600.00 6,300.00

3,500.00 4,014.29 9,014.293,738.93$ PRODUCTION COST

EU Asia

900 100

200 500

800 600

3500 2000

EU Asia

2700 300

600 1500

2400 1800

10500 6000

EU Asia

0.25$ 0.35$

0.22$ 0.30$

0.22$ 0.30$

0.20$ 0.25$ 4,887.14$ PACKING & SHIPPING CO

EU Asia

4.50$ 4.55$

3.90$ 3.95$

2.90$ 2.40$

6.50$ 6.90$ 105,171.43$ TOTAL REVENUE

Wire Casing

2 21 3

2 1

3 2

50,000.00 40,000.00


44/65

PROFIT

10,761.93$

ST


45/65

Raturi and Rao, Inc.

Product Month 1 Month 2 Month 3

1 1,000.00 1,800.00 - 0.06

2 1,000.00 1,400.00 - 0.05

3 600.00 1,100.00 - 0.204 - 700.00 - 0.11

TIME USED 230.00 475.00 -


46/65

PRODUCTION COST 55,575.00$

INVENTORY COST 3,296.52$

TOTAL COST 58,871.52$

No of Hours No of Days

8 30 per month

se

nventory Cost %

12%

100 per product per month


47/65

August September October November

Money invested 3-month CD 3,338.20$ 1,308.57$ 1,308.57$ -$

Money invested 6-month CD 3,341.75$ 1,273.19$ 1,273.19$ -$

Money invested 12-month CD 156.54$

TOTAL INVESTED 6,836.49$ 2,581.75$ 2,581.75$ -$


48/65

December January February March April May June

-$ -$ -$ -$ -$ 5,000.00$

-$ -$ -$

-$ -$ -$ -$ -$ 5,000.00$ -$


49/65

July Return Rate

0.75%

1.90%

4.20%

-$

-$

1,500.00$

-$ 5,037.50$

-$ -$

-$ 163.11$

-$ 5,200.61$

FINAL BALANCE


50/65

Starting Balance in Savings 16,000.00$ Savings Return Rate

January February March

Money invested 3-month CD -$ -$ -$

Money invested 6-month CD -$ -$ -$

Money invested 11-month CD 1,115.64$ 10,229.96$TOTAL INVESTED 1,115.64$ 10,229.96$ -$

=

2,000.00$ 2,000.00$ 2,000.00$

Cash Flow In


51/65

0.0375%

April May June July August September October

740.49$ 400.17$ 1,460.52$ -$ -$ -$ 3,590.69$

2,948.82$ 0.00$ 0.00$ 666.79$

3,689.31$ 400.17$ 1,460.52$ 666.79$ -$ -$ 3,590.69$

=

2,000.00$ 2,000.00$ 2,000.00$ 2,000.00$ 2,000.00$ 2,000.00$ 2,000.00$


52/65

November December Return Rate

0.60%

1.42%

3.08%-$ -$

= FINAL BALANCE

2,000.00$ 2,000.00$


53/65

Radio TV Magazine

How many ads to purchase 8.8 10 12

Cost/Ad 500.00$ 2,000.00$ 200.00$

Exposure Value/Ad 2,000.00 4,000.00 2,700.00

MIN 0 10 6


54/65

26,800.00$ TOTAL COST

90,000.00 >= 90,000.00

Allowable Allowable

Increase Decrease

500.0000001 351.8518519

1E+30 1000

475.0000001 1E+30

Allowable Allowable

Increase Decrease

1E+30 6.20

1E+30 89.00

6.52 4.59 If we are allowed to use more Magazine ads the cost would go down.8.80 1E+30

4.40 3.10

6.00 1E+30

12,400.00 17,600.00


55/65

Small Medium Large

Number of Units Produced 16,157.14 6,200.00 2,600.00

Unit Profit 20.50$ 34.00$ 42.00$ 651,221.43$

Bending/Forming 0.40 0.70 0.80 12,882.86Welding 0.60 1.00 1.20 19,014.29

Painting 1.40 2.60 3.10 46,800.00

MIN 14,000.00 6,200.00 2,600.00


56/65

Total Profit


57/65

ed costs.

Reduced Objective Allowable Allowable

Cost Coefficient Increase Decrease

- 20.5 1E+30 1.532258

(4.07) 34 4.071428571 1E+30

(3.39) 42 3.392857143 1E+30

Shadow Constraint Allowable Allowable

Price R.H. Side Increase Decrease

- 23400 1E+30 10517.14

- 23400 1E+30 4385.714

14.64 46800 6780 3020


58/65

Apple Cherry Pomegranate Orange

MIN 10.00 15.00 20.00 40.00


59/65

Pineapple

10.00


60/65

6.


61/65

Control ValveMetering

Pump

Hydraulic

Cyclinder

Units produced 20.00 50.00 38.00

Unit Profit 372.00$ 174.00$ 288.00$

Assembly 45.00 20.00 30.00

Testing 20.00 15.00 25.00

MIN 5.00 12.00 22.00


62/65

c. If profit of hydraulic cylinder goes down by $1

27,084.00$ TOTAL PROFIT d. If assembly time goes down to 3000 minutes,

3,040.00


63/65

0, the optimal solution does not change.

the optimal solution will change and the problem needs to be re-optimized.

s, this would decrease the optimal profit drastically.

ique

ld make more profit.uld make more profit.


64/65

Beverly Ann Cosmetics

DECISIONS SP OB Adv for SP Adv for OB

13,651.52 5,850.65 831.44 -

8 15

OBJECTIVE

Revenue 42.00$ 30.00$

Cost 5.25$ 4.70$ 1.00$ 1.00$

Profit 36.75$ 25.30$ (1.00)$ (1.00)$

CONSTRAINTS Base Demand Boost

Summer Passion Production 13,651.52


65/65

BOOST (per $ of advertising)

648,883.52$ TOTAL PROFIT

Total

13,651.52

12,000.00

30% of total 19,502.17

70%

100,000.00$

Documents

Ch14 Evans BA1e