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8/16/2019 Copia de Economia_ii(1)
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PUNTO DE EQUILIBRIO
CONCEPTO COSTO FIJO COSTO VARIABLE COSTO TOTAL
Costo Mina
1. Mano de Obra Directa - -
2. Materiales - -3. Suministros 350,000.00 350,000.004.Depreciaciones - -5 -6 -7 -
-
Costo Planta Benefcio
1. Mano de Obra Directa 1,000,000.00 1,000,000.00
2. Materiales - -3.!ransporte " #mbar$ue -4. Depreciacion -5. %eparaciones " mant. 300,000.00 300,000.006. Super&icion 300,000.00 300,000.007. 'lmacen " en&io 300,000.00 600,000.00 (00,000.00. Materia )rima - 2,000,000.00 2,000,000.00(. Mane*o de mat. )rima 20,000.00 20,000.00
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Ventas Anuales !" 12,000,000
P#o$% Dia#ia 0
CONCEPTO COSTO FIJO COSTO VARIABLE
Costos In$i#ectos
1. )ersonal
2. %e+alias3. Ser&icios )ublicos 500,000.004. )ension Social 200,000.005. Otros 100,000.00Costos A$&inist#ati'os
1. )ersonal
2. omisiones 40,000.00
3. astos enerales4. astos de enta " 'dm 2,700,000.00 1,550,000.00
5. astos enerales de /ab 1,000,000.006. !raba*o de Ocina 40,000.00(astos Financie#os
1. nteres " comiciones234TOTAL 6,100,000.00 4,900,000.00
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COSTO TOTAL
-
- P%E% ))) 500,000.00
200,000.00P%E% #elati'o *+%,-+.,/,+*
100,000.00 1.163(344262
-
40,000.00
-4,250,000.00
1,000,000.0040,000.00
----
11,000,000.00
#l punto de e$uilibrio solo lle+a a 5.( ,de la produccin pro"ectada es decir $ueel ni&el de produccin ser 1.16 &ecessuperior al punto de e$uilibrio
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CALCULO DEL VALOR ACTUAL
PERIODO A/01#a$iente(" A-0costo A0A-2A/0
2,000.00
1 -0.00 2,000.002 147.75 2,147.753 2(4.01 2,2(4.014 43.77 2,43.775 52.04 2,52.046 723.1 2,723.17 64.0( 2,64.0( 1,002. 3,002.
( 1,140.1 3,140.110 1,275.(( 3,275.((11 1,410.32 3,410.3212 1,543.17 3,543.17
13 1,674.54 3,674.54
Valor PresentePe#io$o P P total /ormula
0 -
/-34.5%67
1 2,(14.2
2 5,742.5(3 ,47.454 11,151.33 a anualidad5 13,736.61 p &alor presente6 16,245.637 1,60.62 21,043.76
E8e#cicio9 El costo $e &anteni&iento $e un e:ui;o &ine#o es $e !/3444 < au&enta anual&ente en ! 544 3 su 'i$a util $e * a=os%Calcula# el 'alo# actual si el inte#es $el $ine#o es $e 5 > ;a1a$e#os t#i&est#al&ente%
gra
( )
( ) n
n
ii
i A P
+
−+=
1
11
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F 20009gradiente 3009 periodo +radiente8INTERES dato 0.03 4 nominal 1002.7(1175
interes mensual 0.0076 e:ecti&aVIDA UTIL a;os
int. 'nual real 0.0304 real
1 3 5 7 ( 11 13
500.008
-
500.00
1,000.00
1,500.00
2,000.00
0.008
147.752(4.01
43.7752.04
723.164.0(
1,002.1,140.1
1,275.((1,410.32
1,543.171,674.54
Gradiente
periodo
diente
0 1 2 3 4 5 6 7 ( -
5,000.00
10,000.00
15,000.00
20,000.00
25,000.00
: 373.5571((01%? = 0.((510(53
.'@O% )%#S#3!#
olumn A
@inear olumn A8
'BOS
'@O%
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DEPRECACO! DE "! E#"PO
DATO$ %-% Costo 150,000.00 $/% Vi$a Util 7 años5% Inte#es 0.12 %
A&O$
0 - -1 14,67.66 -' 14,67.66 1,74.12( 14,67.66 3,72.334 14,67.66 6,020.33) 14,67.66 ,526.(6 14,67.66 11,334.24
* 14,67.66 14,47.46
OS!O98 32000 '@O% %#SDC'@98D' )%OA'A@# 5 D#)%#'O
'BOS
0 0 01 5760 57602 5760 115203 5760 17204 5760 230405 5760 200
CARGO PORDEPRECACO!
!TERE$ $O+REO!DO AC"-"LADO
E8e&;lo /9 calcula# la $e;#eciacion $e un e:ui;o $e S?otc5/34443 la 'i$a ;#o@a@le esti&a$o es $e + a=os < su 'al
'%O )O%D#)%#'O
D#)%#'O'CMC@'D'
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De;#eciacion en el a=o N
A=o N 7De;#eciacion en el a=o N 1467.66035206
- - 14,67.66 14,67.66 16,651.7 31,51(.44 1,64(.(( 50,16(.43 99,/(0.)*
20,7.(( 71,057.43 */,94'.)*23,3(4.55 (4,451.( )),)4/.0'26,201.(0 120,653.7 '9,(46.1(
2(,346.13 150,000.00 0.00
3200
5760
'@O% # @A%OS
3200026240204014720(603200
TOTAL A&ADDO ALO!DO DE RE-PLAO
AC"-"LACO! ALO!DO DE RE-PLAO
VALOR E!L+RO$
ete cu
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1 2 3 4 5 6 7 -
50,000.00
100,000.00
150,000.00
200,000.00
Depre1ia1ion
';os
@ibros
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PLAN A -,/44.%7,67*-5* EL MAS OPTIMO SERA
PLAN B -,465+%4*+6,//.
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A
-A#"!A "$ADA %O% 0.1523000 n 12 m.c.m.(000
3501(00
03000
43
CO$TO$ DE REPARACO! -A!TE!-E!TO GE!ERALCA RE"!"#Ain 4 - / 5 . + 7 6
113.32(((737 2500 2174 1(0 1644 142( 1243 101 (3(.1(7.21664(5645 1(00 1652 1437 124( 106 (44.6 21.4 714.3
A2A TRA!$PORTADORA175000
250010000 i8 0.15
24 MM 2410
CO$TO$ DE REPARACO!
C%A% REPPA3i3n" 4 - / 5 . + 7 6
0 2000 173( 1512 1315 1144 ((4.4 64.7 751.(0 5000 434 371 32 25( 246 2162 100 10000 6(6 7561 6575 571 4(72 4323 375(
, ,G
ulas es'e&/0&as
'ara el mo(imiento dee tierra - la &onstru&&ion
ans'ortadora desde la
0 2 4 6 10 120
1000
2000
3000
-anteni3iento
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L MENOR
0 5 10 15 200
5000
10000
15000
.'@O% D# S'@.'!'E#
!#%M'@ )'@'S /'E'S !%'S.
'BOS
9
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PROGRA-ADO VALOR DE $A* , -4 -- -/ 4 - / 5 . + 7
17.3 710.7 61 537.4 467.3 4000 347 3025 2630 227 1(( 172(621.1 540.1 46(.7 40.4 355.1 3000 260( 226 1(73 1715 14(2 12(7
VALOR DE $ALVATA2E* , -4 -- -/ -5 -. -+ -7 -6 -* -,
653. 56.5 4(4.4 42(.( 373. 325.1 22.7 245. 213.7 15.( 161.6 140.51635 1421 1236 1075 (34.5 12.6 706.6 614.5 534.3 464.6 404 351.3326( 243 2472 214( 16( 1625 1413 122( 106( (2(.3 0.1 702.7
0 2 4 6 10 120
1000
2000
3000
4000
5000
.'@O% D# S'@.'!'E#
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VATA2E6 * , -4 -- -/
1504 130 1137 (.7 5(. 747.6112 (0.7 52. 741.6 644. 560.7
/4 /- // /5 /.
122.2 106.3 (2.4 0.35 6(.7305.5 265.7 231 200.( 174.7611 531.3 462 401.7 34(.3
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F 1,200,000.00 9gradiente 100,000.00 9i!% 0.12Vida util 10a;os
CALCULO DEL VALOR ACTUAL
PERIODO A/01#a$iente(" A-0costo A0A-2A/
0
-3/443444%44
1 0.00 1,200,000.002 47,16(.1 1,247,16(.1
3 (2,460. 1,2(2,460.
4 135,5.21 1,335,5.21
5 177,45(.45 1,377,45(.45
6 217,204.74 1,417,204.74
7 255,146.54 1,455,146.54
2(1,314.3( 1,4(1,314.3(
( 325,741.67 1,525,741.67
10 35,465.30 1,55,465.30
11 3(,525.46 1,5(,525.4612 41,(65.26 1,61,(65.26
13 446,30.3( 1,646,30.3(
Valor Presente
Pe#io$o P P total /ormula0 -
*3*4+3767%+/
1 1,3(1,46.72 2,633,5.73 3,743,170.6
4 4,733,603.56 a anualidad5 5,617,(1.62 p &alor presente6 6,407,45.647 7,112,456.20 7,741,(4.1(( ,303,(2.40
10 ,05,676.52
Usted es el 'ro'ietario de una mina en o'era&i,n - un in(ersionista le o.re&e &om'777777 Usted sa+e *ue su mina tiene reser(as minerales 'ara 47 años - *ue lo inse in&rementaran anualmente de+ido a la ma-or e0&ien&ia *ue se &onseguira 'rogro'era&ion Ael 'rimer año usted &al&ula *ue sus ingresos netos anuales al&an8aran977777 - &ada año se in&rementaran en US$ 477777 2 Si se &onsidera un &ostousted 're0riria (ender la mina o seguir e:'lotando
(
(i A P +
=
1
1
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ar 6o- su mina 'or US$47resos netos de la mina
esi(amente en lala suma de US$ 4e o'ortunidad del 49 %
1 3 5 7 ( 11 13
500.008
-
500.00
1,000.00
1,500.00
2,000.00
0.008 147.75
2(4.0143.77
52.04723.1
64.0(1,002.
1,140.11,275.((
1,410.321,543.17
1,674.54
Gradiente
periodo
gradiente
0 2 4 6 10 12 -
2,000,000.00
4,000,000.00
6,000,000.00
,000,000.00
10,000,000.00
: 7(566.2725333%? = 0.(7554313
.'@O% )%#S#3!#
ol
@in
'BOS
'@O%
)
) n
n
i
−1
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umn A
ar olumn A8
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ALTER!ATVATE-$ CO-PRA AL#"LER i8
COSTO 500,000.00 100,000.00VIDA DE O"ERACI;N!años 5.00 5.00 @le&amos al a;o 0"RECIO SALVATA?@4? @4B9>BBAL#"LER 47777777 ?B7@@B9 = .743.66%7/
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0.12
ara comparar la me*or opcion.
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!#M )%ODCO !SD
)b%'!O
%ecuperacionDeducciones
costos totales !M 52 CS9!M
Mineral )%#O D#DCO#S'+ 15.2 1.
)b 1.1 0.1In 0.5 0.23
LE DE CORTE E#"VALEO#!%'DO -!ERAL on8# T gr#T
n (5.30Ag 4.565 142.007
)b - '+ )b 57.77
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A'@'# M#!'@C%O
@#H#S DS!%ACO
'+ In '+ )b10.(
0.5 0.(1. 0.1
CS9onJa CS9lb
)%#O #!O O!. )''A@#13.4 11.3(
1 0.(0.62 0.1426
TE M &al mineral '@O% #!O K1% CS9 !M CS9 !M cste &aloracion
4.32 0.426(5474 0.6126(5474 0.((7154(676(.3(42054434
2.62 6.03552167 135.44(7271303 0.(55(2636
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)%#OS
In '+ 15.2 CS9onJa12.5 )b 1.1 CS9lb
0. In 0.5 CS9lb0.23
CS9lb
0.6126(54746.3(4417(12 5.6472455267.05530(2122 5.536676(1
&alor neto de cadaelemento
C!@D'D#!O
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9onJ 1onJ = 11.3( 9
19 = 0.0/*/ onJ '.* +r de '+
9lb 15
1.1111111 l de 7n 0.0)0(99* deIn
9lb 15*.01'6''* l de 7n 0.(1/090) deIn
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LEE$ E#"VALE!TE$
0.07 de '+ 0.0504 pb1 onJ = 0.5741 pb
1 In = 1.74200 onJ '+
0.07 de '+ 0.311 In1 onJ = 3.6231 In
1 In = 0.27601 onJ '+