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http://www.slideshare.net/byronsystem/ecuaciones-carlos-castro
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ECUACIONES CUADRATICAS
EJERCICIOS DE
DEPRECIACIONES
FECHA
DE

FECHA
ACTUAL

01/01/2011
01/01/2005
01/02/2007
01/04/2013
01/01/2011
01/11/2013
05/02/2010
01/11/2013
01/01/2005
08/11/2013

05/02/2014
05/02/2014
05/02/2014
05/02/2014
05/02/2014
05/02/2014
05/02/2014
05/02/2014
05/02/2014
05/02/2014

N° DE
DIAS
TRANSC
1131
3322
2561
310
1131
96
1461
96
3322
89

N° DE AÑOS
TRANSCU.
3,098630137
9,101369863
7,016438356
0,849315068
3,098630137
0,263013699
4,002739726
0,263013699
9,101369863
0,243835616

ACTIVO FIJO
RED INALAMBRICA
EMPRESA
MUEBLES DE OFICINA
VEHICULOS GERENCIA
EQUIPOS DE COMPUTO
VEHICULOS DE CARGA
EDIFICIO DE SUCURSAL
MAQUINARIA
VEHICULO DE SUCURSA
EDIFICIO DE CONVENCIONES

MUEBLES SUCURSAL

VALOR VALOR N° DE
DEL BIEN RESIDUAL AÑOS DEP.
5000
500
3
3000
300
10
34000
3400
5
18000
1800
3
123000 12300
5
127000 12700
20
83000
8300
10
20000
2000
5
57000
5700
20
2024
202,4
10

% DE
DEPR.
33,330%
10%
20%
33,33%
20%
5%
10%
20%
5%
10%

DEPR. CON DEPRE. CON
VALOR VALOR RESI. DIAS
RES. TRASNCURRIDOS
1500
4647,945205
270
2457,369863
6120
42940,60274
5400
4586,30137
22140 68603,67123
5715
1503,123288
7470
29900,46575
3600
946,8493151
2565
23345,0137
182,16 44,41709589

DEPRE.
SIN
VALOR
1666,5
300
6800
5999,4
24600
6350
8300
4000
2850
202,4

DEPRECIACION
SIN VALOR
RESID. DIAS
5163,867123
2730,410959
47711,78082
5095,380822
76226,30137
1670,136986
33222,73973
1052,054795
25938,90411
49,35232877

VALOR VALOR
POR DEP. POR
CON VR. DEPRE. SIN
-147,9452 -163,86712
242,63014 269,58904
-12340,6 -13711,781
11613,699 12904,619
42096,329 46773,699
112796,88 125329,86
44799,534 49777,26
17053,151 18947,945
27954,986 31061,096
1777,1829 1974,6477
PROGRAMACION
LINEAL
camion
maquina A
maquina b
acabado

perinola

2
3
5

1
1
1

7

≤
≤
≤

80
50
70

40
50
70

2
Z MAX=

VARIABLES

VARIABLES

10

110

20

6

6
Z MIN =

780

DEBEN PRODUCIRSE 6 REPRODUCTORES DE CADA TIPO A FIN DE ONTENER
UNA GANANCIA MAXIMA DE 780

alimento A
carbohidratos
proteinas

alimento B

2
4

2
1

1,2

0,8

≥
≥

16
20

3
20
VARIABLES

4

4

Z MIN=

8

DEBEN COMPRARSE 4 UNIDADES DE ALIMENTO A Y 4 DE ALIMENTO B A
FIN DE OBTENER UN GASTO MINIMO DE 8

mezcla I
nutriente A
nutriente B
nutriente C

mezcla II
2
6
4
8

10

30

VARIABLES

2 ≥
2 ≥
12 ≥

10

80
120
240

Z MIN=

80
200
240

340

EL AGRICULTOR DEBE COMPRAR 8 BOLSAS DE LA MEZCLA A Y
10 BOLSAS DE LA MEZCLA B A FIN DE TENER UN GASTO
MINIMO DE 340

mineral A
mineral _B

200
50

50
VARIABLES

100
200

60

10

≥
≥

10
Z MIN=

3000
2500

3000
2500

1100
DEBEN PORODUCIRSE DIARIAMENTE 10 TONELADAS DE CADA
MINA A FIN DE OBTENER UN GASTO MINIMO DE 1100

refineria 1

refineria 2

2000
3000
1000

1000
2000
1000

25000

20000

4

1

barriles de bajo grado
barriles de medio grado
barriles de alto grado

VARIABLES

≥
≥
≥

8000
14000
5000

Z MIN=

9000
14000
5000

120000

LA REFINERIA 1 DEBE OPERAR 4 DIAS Y LA REFINERIA 2 DEBE OPERAR 1
DIA MINIMIZAR EL GASTO QUE ES DE 120000

camara tipo A

VARIABLES

10
20

4
30

600000

polimeros P1
polimeros p2

camara tipo B

300000

6

10

≥
≥

100
420

100
420
ZMIN =

6600000

LA EMPRESA DEBE PRODUCIR 6 CAMARAS TIPO A Y 10 CAMARAS TIPO B A FIN DE
OBTENER UN GASTO MINIMO DE 6600000

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