SOLUCIN 01

SOLUCIN 01Funcin Objetivo: Max Z = 12x1 + 21x2 + 22x3.Sujeto a:3.5x1 + 2.5x2 + 2.0x3 72048x1 + 43x2 + 28x3 13,560 x1 30 x2 55 x3 32No se necesitan las condiciones de no negatividad puesto que existen restricciones de demanda para todas las variables.Para la primera y segunda restriccin, es necesario aadir una variable de holgura para cada una, por lo tanto las inecuaciones se convierten en las ecuaciones siguientes. 3.5x1 + 2.5x2 + 2.0x3 + S1 = 720 48x1 + 43x2 + 28x3 +S2 = 13,56022. Las tres ltimas restricciones se convierten en ecuaciones restndoles variables de holgura negativas o variables excedentes, determinndose las ecuaciones siguientes:

x1 -S3 = 30 x2 -S4 = 55 x3 -S5 = 32

3. Como deben considerarse variables artificiales en estas dos ltimas ecuaciones las ecuaciones finales seran las siguientes:

x1 -S3 +A1 = 30 x2 -S4 +A2 = 55 x3 -S5 +A3 = 32

5. Establecemos la funcin objetivo para lo cual es necesario aplicar la norma que establece que todas las variables intervinientes deben estar presentes en la ecuacin de minimizacin del costo. Para lo cual se establece que las variables de holgura (S1, S2, S3, S4 y S3) deben tener un coeficiente igual a cero (0), mientras que las variables artificiales (A1, A2 y A3) deben tener un coeficiente que supuestamente es un valor bastante alto y que lo representaremos por M, lo mismo se predispone en las restricciones pero en este caso las variables artificiales tendrn un coeficiente igual a cero (0).6. La matematizacin de la programacin lineal en discusin, queda determinada del modo siguiente:

Max Z = 12x1+21x2+22x3+0S1+0S2+0S3+0S4 + 0S5 + MA1+MA2 +MA3

Sujeto a:3.5x1 + 2.5x2 + 2.0x3 S1 + 0S2 +0S3+0S4 + 0S5 + 0A1+0A2 + 0A3 = 72048x1 + 43x2 + 28x3 + 0S1 + S2 +0S3+0S4 + 0S5+ 0A1+0A2 + 0A3 = 13,560 x1 0S1 + 0S2- S3+ 0S4 + 0S5+ A1+0A2 + 0A3 = 30 x2 0S1 + 0S2+0S3- 0S4 + 0S5+ 0A1+ A2 + 0A3 = 55 x3 - 0S1 + 0S2+0S3+ 0S4 0S5+ 0A1+0A2 + A3 = 32

Cjmezclacantidad12212200000-M-M-Mx1x2x3s1s2s3s4s5A1A2A30s17203.52.52100000000s21356048432801000000-Ms33010000-100100-Ms455010000-10010-Ms5320010000-1001ZJ-117M-M-M-M00MMM-M-M-MCJ-ZJM+12M+21M+2200-M-M-M000TABLA INICIALCjmezclacantidad12212200000-M-M-Mx1x2x3s1s2s3s4s5A1A2A30s17203.52.52100000000s21356048432801000000-Ms33010000-100100-Ms455010000-10010-Ms5320010000-1001ZJ-117000-1000-1000-100000100010001000-1000-1000-1000CJ-ZJ10121021102200-1000-1000-1000000PRIMERA ITERACION720- ( 2X32)=03.5 - ( 2X0 ) =02.5 - ( 2X0 ) =-12 - ( 2X1 ) =-21 - ( 2X0 ) =00 - ( 2X0 ) =30000 - ( 2X0 ) =-10000 - ( 2X0 ) =00 - ( 2X-1 ) =00 - ( 2X0 ) = 00 - ( 2X0 ) = 00 - ( 2X1 ) = 013560- ( 28X32) =-2016048 - ( 28X0 ) =-9843 - ( 28X0 ) =-7028 - ( 28X1 ) =-550 - ( 28X0 ) =-281 -( 28X0 ) =-10000 - ( 28X0 ) =00 - ( 28X0 ) =00 - ( 28X-1 ) =00 - ( 28X0 ) =00 - ( 28X0 ) =00 - ( 28X1 ) =0OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantes.PARA S1PARA S255-(0X32)=550 -(0X0 )= 01 -(0X0 )= 10 -(0X1 )= 00 -(0X0 )= 00 -(0X0 )= 00 -(0X0 )= 0-1 -(0X0 )= -10 -(0X-1 )=00 -(0X0 )= 01 -(0X0 )= 10 -(0X1 )= 030-(0X32)=301 -(0X0 )=10 -(0X0 )=00 -(0X1 )=00 -(0X0 )=00 -(0X0 )=0-1-(0X0 )=-10 -(0X0 )= 00 -(0X-1 )=01 -(0X0 )= 10 -(0X0 )=00 -(0X1 )=0PARA S3PARA S4Cjmezclacantidad12212200000-1000-1000-1000x1x2x3s1s2s3s4s5A1A2A30s16563.52.501000200-20s2126644843001002800-28-1000s33010000-100100-1000s455010000-1001022x3320010000-1001ZJ-117000-1000-1000220010001000-22-1000-100022CJ-ZJ10121021000-1000-10002200-1022SEGUNDA ITERACION:656-(2.5X55)=518.53.5-(2.5X0 ) =3.52.5-(2.5X1 ) =00 -(2.5X0 ) =01 -(2.5X0 ) =10 -(2.5X0 ) =00 -(2.5X0 ) =00 -(2.5X-1 ) =2.52 -(2.5X0 ) =20 -(2.5X0 ) =00 -(2.5X1 ) = -2.5-2 -(2.5X0) =-212664 -(43X55 )= 3048 -(43X0 ) = 143 -(43X1 ) = 00 -(43X0 ) = 00 -(43X0 ) = 01 -(43X0 ) = 00 -(43X0 ) = -10 -(43X-1 ) = 028 -(43X0 ) = 00 -(43X0 ) = 10 -( 43X1 ) =0-28 -(43X0 ) = 0PARA S1PARA S2OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantes30 -( 0 X 55 )= 301 -( 0 X 0 ) = 10 -( 0 X 1 ) = 00 -( 0 X 0 ) = 00 -( 0 X 0 ) = 00 -( 0 X 0 ) = 0-1 -( 0 X 0 ) = -10 -( 0 X -1 ) = 00 -( 0 X 0 ) = 01 -( 0 X 0 ) = 10 -( 0 X 1 ) = 00 -( 0 X 0 ) = 032 -(0 X 55 )=320 -(0 X 0 )=00 -(0 X 1 )=01 -(0 X 0 )=10 -(0 X 0 )=00 -(0 X 0 )=00 -(0 X 0 )=00 -(0 X -1 )= 0-1 -( 0 X 0 )= -10 -( 0 X 0 )= 00 -( 0 X 1 )= 01 -( 0 X 0 )= 1PARA S3PARA X3Cjmezclacantidad12212200000-1000-1000-1000x1x2x3s1s2s3s4s5A1A2A30s1518.53.5001002.520-2.5-20s210299480001043280-43-28-1000s33010000-10010021x255010000-1001022x3320010000-1001ZJ-10002122001000-21-22-10002122CJ-ZJ10120000-100021220-1021-1022TERCERA ITERACION518.5 -( 3.5 X 30 ) =413.53.5 -( 3.5 X 1 ) = 00 -( 3.5 X0 ) = 00 -( 3.5 X0 ) = 01 -( 3.5 X0 ) = 10 -( 3.5 X0 ) = 00 -( 3.5 X-1 ) = 3.52.5 -( 3.5 X0 ) = 2.52 -( 3.5 X0 ) = 20 -( 3.5 X 1 ) = -3.5-2.5 -( 3.5 X 0 ) = -2.5-2 -( 3.5 X 0 ) =-230 -( 48 X 30 ) = 88591 -( 48 X 1 ) = 00 -( 48 X 0 ) = 00 -( 48 X 0 ) = 00 -( 48 X 0 ) = 00 -( 48 X 0 ) = 1-1 -( 48 X -1 ) = 480 -( 48 X 0 ) = 430 -( 48 X 0 ) = 281 -( 48 X 1 ) = -480 -( 48 X 0 ) = -430 -( 48 X 0 ) = -28PARA S1PARA S255 -( 0 X 30 )= 550 -( 0 X 1 ) = 01 -( 0 X 0 ) = 10 -( 0 X 0 ) = 00 -( 0 X 0 ) = 00 -( 0 X 0 ) = 00 -( 0 X -1 ) = 0-1 -( 0 X 0 ) = -10 -( 0 X 0 ) = 00 -( 0 X 1 ) = 01 -( 0 X 0 ) = 10 -( 0 X 0 ) = 032 -( 0 X 30 )= 320 -( 0 X 1 ) = 00 -( 0 X 0 ) = 01 -( 0 X 0 ) = 10 -( 0 X 0 ) = 00 -( 0 X 0 ) = 00 -( 0 X -1 ) = 00 -( 0 X 0 ) = 0-1 -( 0 X 0 ) = -10 -( 0 X 1 ) = 00 -( 0 X 0 ) = 01 -( 0 X 0 ) = 1PARA X2PARA X3Cjmezclacantidad12212200000-1000-1000-1000x1x2x3s1s2s3s4s5A1A2A30s1413.5000103.52.52-3.5-2.5-20s2885900001484328-48-43-2812x13010000-10010021x255010000-1001022x3320010000-1001ZJ12212200-12-21-22122122CJ-ZJ00000122122-1012-1021-10228859 -(28 X 206.75 )= 30700 -( 28 X 0 ) = 00 -( 28 X 0 ) = 00 -( 28 X 0 ) = 00 -( 28 X 0.5 ) = -141 -( 28 X 0 ) = 148 -( 28 X 1.75 ) = -143 -( 28 X 1.25 ) = 828 -( 28 X 1 ) = 0-48 -( 28 X -1.75 ) = 1-43 -( 28 X -1.25 ) = -8-28 -( 28 X -1 ) = 030 -( 0 X 206.75 )= 301 -( 0 X 0 ) = 10 -( 0 X 0 ) = 00 -( 0 X 0 ) = 00 -( 0 X 0.5 ) = 00 -( 0 X 0 ) = 0-1 -( 0 X 1.75 ) = -10 -( 0 X 1.25 ) = 00 -( 0 X 1 ) = 01 -( 0 X -1.75 ) = 10 -( 0 X -1.25 ) = 00 -( 0 X -1 ) = 0OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantesPARA S2PARA X155 -(0 X 206.75 )= 550 -(0 X 0 ) = 01 -(0 X 0 ) = 10 -(0 X 0 ) = 00 -(0 X 0.5 ) =00 -(0 X 0 ) = 00 -(0 X 1.75 ) = 0-1 -(0 X 1.25 ) = -10 -(0 X 10 ) = 00 -(0 X -1.75 ) = 01 -(0 X -1.25 ) = 10 -(0 X -1 ) = 032 -(-1 X 206.75 )=238.750 -(-1 X 0 ) = 00 -(-1 X 0 ) = 01 -(-1 X 0 ) = 10 -(-1 X 0.5 ) = 0.50 -(-1 X 0 ) = 00 -(-1 X 1.75 ) = 1.750 -(-1 X 1.25 ) = 1.25-1 -(-1 X 1 ) = 00 -(-1 X -1.75 ) = -1.750 -(-1 X -1.25 ) = -1.251 -(-1 X -1 ) =0PARA X2PARA X3Cjmezclacantidad12212200000-1000-1000-1000x1x2x3s1s2s3s4s5A1A2A30S5206.750000.501.751.251-1.75-1.25-10s23070000-141-1801-8012x13010000-10010021x255010000-1001022x3238.750010.501.751.250-1.75-1.250ZJ6767.512212211026.56.50-26.5-6.50CJ-ZJ000-110-26.5-6.50-974-994-1000De donde : X1 = 30, X2=55 y X3 =238.75

Max Z = 12X1 + 21X2 + 22X3Max Z = 12(30) + 21(55) + 22(238.75)Max Z = US$ 6767.50SOLUCION SIMPLIFICADA01Funcin Objetivo: Max Z = 12x1 + 21x2 + 22x3.Sujeto a:3.5x1 + 2.5x2 + 2.0x3 72048x1 + 43x2 + 28x3 13,560 x1 30 x2 55 x3 32PARTIMOS DE 3.5x1 + 2.5x2 + 2.0x3 +S1 = 72048x1 + 43x2 + 28x3 + S2 = 13,560 x1 - S3 + R1 = 30 x2 - S4 + R2 = 55 x 3 S5 + R3 = 32R1 = 30- X1+ S3R2 = 55-X2 + S4R3 = 32- X3+ S5Max Z = 12x1+21x2+22x3+MR1+MR2 +MR3 Reemplazamos los valores de R1, R2 Y R3.Z (12-M)x1-(21-M)x2-(22-M)x3-MS3-MS4 MS5 =117M 3.5x1 + 2.5x2 + 2.0x3 +S1 = 72048x1 + 43x2 + 28x3 + S2 = 13,560 x1 - S3 + R1 = 30 x2 - S4 + R2 = 55 x 3 S5 + R3 = 32Sujeto a:BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3S1S2S3S4S5R1R2R3S13.52.5210000000720S24843280100000013560R110000-10010030R2010000-1001055R30010000-100132ZM-12M-21M-2200-M-M-M000117MPARA MEJORAR EL TRAAJO EN EL EXCEL CONSIDERAMOS UN VALOR DE -1000 PARA M YA QUE SE TRATA DE MAXIMIZACIONBASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3S1S2S3S4S5R1R2R3S13.52.5210000000720S24843280100000013560R110000-10010030R2010000-1001055R30010000-100132Z-1012-1021-102200100010001000000-117000PRIMERA ITERACIONFILA VIEJA S1FILA PIVOTECOEFICIENTENUEVA FILA S13.5-0X2=3.52.5-0X2=2.52-1X2=01-0X2=10-0X2=00-0X2=00-0X2=00--1X2=20-0X2=00-0X2=00-1X2=-2720-32X2=656FILA VIEJA S2-FILA PIVOTEXCOEFICIENTE=NUEVA FILA S248-0X28=4843-0X28=4328-1X28=00-0X28=01-0X28=10-0X28=00-0X28=00--1X28=280-0X28=00-0X28=00-1X28=-2813560-32X28=12664OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantesFILA VIEJA R1-FILA PIVOTEXCOEFICIENTE=NUEVA FILA R11-0X0=10-0X0=00-1X0=00-0X0=00-0X0=0-1-0X0=-10-0X0=00--1X0=01-0X0=10-0X0=00-1X0=030-32X0=30FILA VIEJA R2FILA PIVOTECOEFICIENTE=NUEVA FILA R20-0X0=01-0X0=10-1X0=00-0X0=00-0X0=00-0X0=0-1-0X0=-10--1X0=00-0X0=01-0X0=10-1X0=055-32X0=55FILA VIEJA ZFILA PIVOTECOEFICIENTE=NUEVA FILA Z-1012-0X-1022=-1012-1021-0X-1022=-1021-1022-1X-1022=00-0X-1022=00-0X-1022=01000-0X-1022=10001000-0X-1022=10001000--1X-1022=-220-0X-1022=00-0X-1022=00-1X-1022=1022-117000-32X-1022=-84296BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3S1S2S3S4S5R1R2R3S13.52.501000200-2656S24843001002800-2812664R110000-10010030R2010000-1001055X30010000-100132Z-1012-102100010001000-22001022-84296SEGUNDA ITERACIONFILA VIEJA S1FILA PIVOTECOEFICIENTENUEVA FILA S13.5-0X2.5=3.52.5-1X2.5=00-0X2.5=01-0X2.5=10-0X2.5=00-0X2.5=00--1X2.5=2.52-0X2.5=20-0X2.5=00-1X2.5=-2.5-2-0X2.5=-2656-55X2.5=518.5FILA VIEJA S2FILA PIVOTECOEFICIENTENUEVA FILA S248-0X43=4843-1X43=00-0X43=00-0X43=01-0X43=10-0X43=00--1X43=4328-0X43=280-0X43=00-1X43=-43-28-0X43=-2812664-55X43=10299OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantesFILA VIEJA R1FILA PIVOTECOEFICIENTENUEVA FILA R11-0X0=10-1X0=00-0X0=00-0X0=00-0X0=0-1-0X0=-10--1X0=00-0X0=01-0X0=10-1X0=00-0X0=030-55X0=30FILA VIEJA X3FILA PIVOTECOEFICIENTENUEVA FILA X30-0X0=00-1X0=01-0X0=10-0X0=00-0X0=00-0X0=00--1X0=0-1-0X0=-10-0X0=00-1X0=01-0X0=132-55X0=32FILA VIEJA ZFILA PIVOTECOEFICIENTENUEVA FILA Z-1012-0X-1021=-1012-1021-1X-1021=00-0X-1021=00-0X-1021=00-0X-1021=01000-0X-1021=10001000--1X-1021=-21-22-0X-1021=-220-0X-1021=00-1X-1021=10211022-0X-1021=1022-84296-55X-1021=-28141BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3S1S2S3S4S5R1R2R3S13.5001002.520-2.5-2518.5S2480001043280-43-2810299R110000-10010030X2010000-1001055X30010000-100132Z-101200001000-21-22010211022-28141TERCERA ITERACIONFILA VIEJA X3FILA PIVOTECOEFICIENTENUEVA FILA X30-1X0=00-0X0=01-0X0=10-0X0=00-0X0=00--1X0=00-0X0=0-1-0X0=-10-1X0=00-0X0=01-0X0=132-30X0=32FILA VIEJA ZFILA PIVOTECOEFICIENTENUEVA FILA Z-1012-1X-1012=00-0X-1012=00-0X-1012=00-0X-1012=00-0X-1012=01000--1X-1012=-12-21-0X-1012=-21-22-0X-1012=-220-1X-1012=10121021-0X-1012=10211022-0X-1012=1022-28141-30X-1012=2219OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantesFILA VIEJA S1FILA PIVOTECOEFICIENTENUEVA FILA S13.5-1X3.5=00-0X3.5=00-0X3.5=01-0X3.5=10-0X3.5=00--1X3.5=3.52.5-0X3.5=2.52-0X3.5=20-1X3.5=-3.5-2.5-0X3.5=-2.5-2-0X3.5=-2518.5-30X3.5=413.5FILA VIEJA S2FILA PIVOTECOEFICIENTENUEVA FILA S248-1X48=00-0X48=00-0X48=00-0X48=01-0X48=10--1X48=4843-0X48=4328-0X48=280-1X48=-48-43-0X48=-43-28-0X48=-2810299-30X48=8859FILA VIEJA X2FILA PIVOTECOEFICIENTENUEVA FILA X20-1X0=01-0X0=10-0X0=00-0X0=00-0X0=00--1X0=0-1-0X0=-10-0X0=00-1X0=01-0X0=10-0X0=055-30X0=55BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3S1S2S3S4S5R1R2R3S1000103.52.52-3.5-2.5-2413.5S200001484328-48-43-288859X110000-10010030X2010000-1001055X30010000-100132Z00000-12-21-221012102110222219CUARTA ITERACIONFILA VIEJA S2FILA PIVOTECOEFICIENTENUEVA FILA S20-0X28=00-0X28=00-0X28=00-0.5X28=-141-0X28=148-1.75X28=-143-1.25X28=828-1X28=0-48--1.75X28=1-43--1.25X28=-8-28--1X28=08859-206.75X28=3070FILA VIEJA X1FILA PIVOTECOEFICIENTENUEVA FILA X11-0X0=10-0X0=00-0X0=00-0.5X0=00-0X0=0-1-1.75X0=-10-1.25X0=00-1X0=01--1.75X0=10--1.25X0=00--1X0=030-206.75X0=30OBSERVAMOS QUE EL NUMERO DE LA INTERSECCION ES 1 POR LO CUAL PASAMOS A CALCULAR LAS FILAS NUEVAS

Clculo de los Nuevos Valores para las filas restantesFILA VIEJA X2FILA PIVOTECOEFICIENTENUEVA FILA X20-0X0=01-0X0=10-0X0=00-0.5X0=00-0X0=00-1.75X0=0-1-1.25X0=-10-1X0=00--1.75X0=01--1.25X0=10--1X0=055-206.75X0=55FILA VIEJA X3FILA PIVOTECOEFICIENTENUEVA FILA X30-0X-1=00-0X-1=01-0X-1=10-0.5X-1=0.50-0X-1=00-1.75X-1=1.750-1.25X-1=1.25-1-1X-1=00--1.75X-1=-1.750--1.25X-1=-1.251--1X-1=032-206.75X-1=238.75FILA VIEJA ZFILA PIVOTECOEFICIENTENUEVA FILA Z0-0X-22=00-0X-22=00-0X-22=00-0.5X-22=110-0X-22=0-12-1.75X-22=26.5-21-1.25X-22=6.5-22-1X-22=01012--1.75X-22=973.51021--1.25X-22=993.51022--1X-22=10002219-206.75X-22=6767.5BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3S1S2S3S4S5R1R2R3S50.000.000.000.500.001.751.251.00-1.75-1.25-1.00206.75S2000-141-1801-803070X110000-10010030X2010000-1001055X30010.501.751.250-1.75-1.250238.75Z00011026.56.50973.5993.510006767.5

SOLUCIN 02Funcin Objetivo: Min Z = 800x1 + 400x2 + 600x3 + 500x4Sujeto a: 10x1 + 3x2 + 8x3 + 2x4 5 90x1 + 150x2 + 75x3 + 175x4 100 45x1 + 25x2 + 20x3 + 37x4 30 30x1 + 25x2 + 18x3 + 12x4 20 x1 + x2 + x3 + x4 = 1 x1, x2, x3, x4 0

ESTANDARIZACION DEL MODELO

Min Z = 800x1 + 400x2 + 600x3 + 500x4Sujeto a: 10x1 + 3x2 + 8x3 + 2x4 -S1+A1 =5 90x1 + 150x2 + 75x3 + 175x4 -S2+A2 = 100 45x1 + 25x2 + 20x3 + 37x4 -S3+A3 = 30 30x1 + 25x2 + 18x3 + 12x4 -S4+A4 = 20 x1 + x2 + x3 + x4 +A5 = 1 x1, x2, x3, x4 0

cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A51000A1510382-1000100001000A210090150751750-100010001000A3304525203700-10001001000A42030251812000-1000101000A511111000000001ZJ156000176000204000122000227000-1000-1000-1000-100010001000100010001000Cj-Zj-175200-203600-121400-226500100010001000100000000cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A51000A1510382-1000100001000A210090150751750-100010001000A3304525203700-10001001000A42030251812000-1000101000A511111000000001ZJ156000176000204000122000227000-1000-1000-1000-100010001000100010001000Cj-Zj-175200-203600-121400-226500100010001000100000000PRIMERA ITERACION5-(0.5714x2)=3.8630-(0.5714x37)=8.857110-(0.5143x2)=8.9745-(0.5143x37)=25.97143-(0.8571x2)=1.2925-(0.8571x37)=-6.71438-(0.4286x2)=7.1420-(0.4286x37)=4.14292-(1.0000x2)=0.0037-(1.0000x37)=0.0000-1-(0.0000x2)=-1.000-(0.0000x37)=0.00000-(-0.0057x2)=0.010-(-0.0057x37)=0.21140-(0.0000x2)=0.00-1-(0.0000x37)=-1.00000-(0.0000x2)=0.000-(0.0000x37)=0.00001-(0.0000x2)=1.000-(0.0000x37)=0.00000-(0.0057x2)=-0.010-(0.0057x37)=-0.21140-(0.0000x2)=0.001-(0.0000x37)=1.00000-(0.0000x2)=0.000-(0.0000x37)=0.00000-(0.0000x2)=0.000-(0.0000x37)=0.0000PARA A1PARA A320-(0.5714x12)=13.1431-(0.5714x1)=0.42930-(0.5143x12)=23.8291-(0.5143x1)=0.48625-(0.8571x12)=14.7141-(0.8571x1)=0.14318-(0.4286x12)=12.8571-(0.4286x1)=0.57112-(1.0000x12)=0.0001-(1.0000x1)=0.0000-(0.0000x12)=0.0000-(0.0000x1)=0.0000-(-0.0057x12)=0.0690-(-0.0057x1)=0.0060-(0.0000x12)=0.0000-(0.0000x1)=0.000-1-(0.0000x12)=-1.0000-(0.0000x1)=0.0000-(0.0000x12)=0.0000-(0.0000x1)=0.0000-(0.0057x12)=-0.0690-(0.0057x1)=-0.0060-(0.0000x12)=0.0000-(0.0000x1)=0.0001-(0.0000x12)=1.0000-(0.0000x1)=0.0000-(0.0000x12)=0.0001-(0.0000x1)=1.000PARA A4PARA A5cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A51000A13.8578.9711.2867.1430.000-1.0000.0110.0000.0001.000-0.0110.0000.0000.000500X40.5710.5140.8570.4291.0000.000-0.0060.0000.0000.0000.0060.0000.0000.0001000A38.85725.971-6.7144.1430.0000.0000.211-1.0000.0000.000-0.2111.0000.0000.0001000A413.14323.82914.71412.8570.0000.0000.0690.000-1.0000.000-0.0690.0001.0000.0001000A50.4290.4860.1430.5710.0000.0000.0060.0000.0000.000-0.0060.0000.0001.000ZJ26571.428659514.28579857.1428624928.5714500-1000294.285714-1000-10001000-294.285714100010001000Cj-Zj-58714.2857-9457.14286-24328.571401000-294.2857141000100001294.28571000SEGUNDA ITERACION3.857-(0.341x8.9714)=0.7980.57-(0.341x0.514)=0.3968.971-(1.000x8.9714)=0.0000.51-(1.000x0.514)=0.0001.286-(-0.259x8.9714)=3.6050.86-(-0.259x0.514)=0.9907.143-(0.160x8.9714)=5.7120.43-(0.160x0.514)=0.3470.000-(0.000x8.9714)=0.0001.00-(0.000x0.514)=1.000-1.000-(0.000x8.9714)=-1.0000.00-(0.000x0.514)=0.0000.011-(0.008x8.9714)=-0.062-0.01-(0.008x0.514)=-0.0100.000-(-0.039x8.9714)=0.3450.00-(-0.039x0.514)=0.0200.000-(0.000x8.9714)=0.0000.00-(0.000x0.514)=0.0001.000-(0.000x8.9714)=1.0000.00-(0.000x0.514)=0.000-0.011-(-0.008x8.9714)=0.0620.01-(-0.008x0.514)=0.0100.000-(0.039x8.9714)=-0.3450.00-(0.039x0.514)=-0.0200.000-(0.000x8.9714)=0.0000.00-(0.000x0.514)=0.0000.000-(0.000x8.9714)=0.0000.00-(0.000x0.514)=0.000PARA A1PARA X413.14-(0.341x23.83)=5.0170.43-(0.341x0.486)=0.26323.83-(1.000x23.83)=0.0000.49-(1.000x0.486)=0.00014.71-(-0.259x23.83)=20.8750.14-(-0.259x0.486)=0.26812.86-(0.160x23.83)=9.0560.57-(0.160x0.486)=0.4940.00-(0.000x23.83)=0.0000.00-(0.000x0.486)=0.0000.00-(0.000x23.83)=0.0000.00-(0.000x0.486)=0.0000.07-(0.008x23.83)=-0.1250.01-(0.008x0.486)=0.0020.00-(-0.039x23.83)=0.9170.00-(-0.039x0.486)=0.019-1.00-(0.000x23.83)=-1.0000.00-(0.000x0.486)=0.0000.00-(0.000x23.83)=0.0000.00-(0.000x0.486)=0.000-0.07-(-0.008x23.83)=0.125-0.01-(-0.008x0.486)=-0.0020.00-(0.039x23.83)=-0.9170.00-(0.039x0.486)=-0.0191.00-(0.000x23.83)=1.0000.00-(0.000x0.486)=0.0000.00-(0.000x23.83)=0.0001.00-(0.000x0.486)=1.000PARA A4PARA A5cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A51000A10.7980.0003.6055.7120.000-1.000-0.0620.3450.0001.0000.062-0.3450.0000.000500X40.3960.0000.9900.3471.0000.000-0.0100.0200.0000.0000.010-0.0200.0000.000800X10.3411.000-0.2590.1600.0000.0000.008-0.0390.0000.000-0.0080.0390.0000.0001000A45.0170.00020.8759.0560.0000.000-0.1250.917-1.0000.0000.125-0.9171.0000.0001000A50.2630.0000.2680.4940.0000.0000.0020.0190.0000.000-0.002-0.0190.0001.000ZJ6547.8547980025036.303615562.7063500-1000-183.696371260.72607-10001000183.69637-1260.7260710001000Cj-Zj0-24636.3036-14962.706301000183.69637-1260.7260710000816.303632260.7260700TERCERA ITERACION0.396-(0.221x0.990)=0.1770.34-(0.221x-0.26)=0.3980.000-(0.000x0.990)=0.0001.00-(0.000x-0.26)=1.0000.990-(1.000x0.990)=0.000-0.26-(1.000x-0.26)=0.0000.347-(1.584x0.990)=-1.2220.16-(1.584x-0.26)=0.5691.000-(0.000x0.990)=1.0000.00-(0.000x-0.26)=0.0000.000-(-0.277x0.990)=0.2750.00-(-0.277x-0.26)=-0.072-0.010-(-0.017x0.990)=0.0070.01-(-0.017x-0.26)=0.0040.020-(0.096x0.990)=-0.075-0.04-(0.096x-0.26)=-0.0140.000-(0.000x0.990)=0.0000.00-(0.000x-0.26)=0.0000.000-(0.277x0.990)=-0.2750.00-(0.277x-0.26)=0.0720.010-(0.017x0.990)=-0.007-0.01-(0.017x-0.26)=-0.004-0.020-(-0.096x0.990)=0.0750.04-(-0.096x-0.26)=0.0140.000-(0.000x0.990)=0.0000.00-(0.000x-0.26)=0.0000.000-(0.000x0.990)=0.0000.00-(0.000x-0.26)=0.000PARA X4PARA X15.017-(0.221x20.875)=0.3980.26-(0.221x0.27)=0.2040.000-(0.000x20.875)=0.0000.00-(0.000x0.27)=0.00020.875-(1.000x20.875)=0.0000.27-(1.000x0.27)=0.0009.056-(1.584x20.875)=-24.0170.49-(1.584x0.27)=0.0690.000-(0.000x20.875)=0.0000.00-(0.000x0.27)=0.0000.000-(-0.277x20.875)=5.7900.00-(-0.277x0.27)=0.074-0.125-(-0.017x20.875)=0.2310.00-(-0.017x0.27)=0.0060.917-(0.096x20.875)=-1.0830.02-(0.096x0.27)=-0.007-1.000-(0.000x20.875)=-1.0000.00-(0.000x0.27)=0.0000.000-(0.277x20.875)=-5.7900.00-(0.277x0.27)=-0.0740.125-(0.017x20.875)=-0.2310.00-(0.017x0.27)=-0.006-0.917-(-0.096x20.875)=1.083-0.02-(-0.096x0.27)=0.0071.000-(0.000x20.875)=1.0000.00-(0.000x0.27)=0.0000.000-(0.000x20.875)=0.0001.00-(0.000x0.27)=1.000PARA A5PARA A4cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A5400X20.2210.0001.0001.5840.000-0.277-0.0170.0960.0000.2770.017-0.0960.0000.000500X40.1770.0000.000-1.2221.0000.2750.007-0.0750.000-0.275-0.0070.0750.0000.000800X10.3981.0000.0000.5690.000-0.0720.004-0.0140.0000.072-0.0040.0140.0000.0001000A40.3980.0000.000-24.0170.0005.7900.231-1.083-1.000-5.790-0.2311.0831.0000.0001000A50.2040.0000.0000.0690.0000.0740.006-0.0070.000-0.074-0.0060.0070.0001.000ZJ1097.34513800400-23470.46085005833.81141237.308514-1099.90845-1000-5833.81141-237.3085141099.9084510001000Cj-Zj0024070.46080-5833.81141-237.3085141099.9084510006833.811411237.30851-99.908452900CUARTA ITERACION0.221-(0.069x-0.277)=0.2400.18-(0.069x0.27)=0.1580.000-(0.000x-0.277)=0.0000.00-(0.000x0.27)=0.0001.000-(0.000x-0.277)=1.0000.00-(0.000x0.27)=0.0001.584-(-4.148x-0.277)=0.434-1.22-(-4.148x0.27)=-0.0830.000-(0.000x-0.277)=0.0001.00-(0.000x0.27)=1.000-0.277-(1.000x-0.277)=0.0000.27-(1.000x0.27)=0.000-0.017-(0.040x-0.277)=-0.0060.01-(0.040x0.27)=-0.0040.096-(-0.187x-0.277)=0.044-0.08-(-0.187x0.27)=-0.0240.000-(-0.173x-0.277)=-0.0480.00-(-0.173x0.27)=0.0470.277-(-1.000x-0.277)=0.000-0.27-(-1.000x0.27)=0.0000.017-(-0.040x-0.277)=0.006-0.01-(-0.040x0.27)=0.004-0.096-(0.187x-0.277)=-0.0440.08-(0.187x0.27)=0.0240.000-(0.173x-0.277)=0.0480.00-(0.173x0.27)=-0.0470.000-(0.000x-0.277)=0.0000.00-(0.000x0.27)=0.000PARA X2PARA X40.398-(0.069x-0.072)=0.4030.20-(0.069x0.07)=0.1981.000-(0.000x-0.072)=1.0000.00-(0.000x0.07)=0.0000.000-(0.000x-0.072)=0.0000.00-(0.000x0.07)=0.0000.569-(-4.148x-0.072)=0.2720.07-(-4.148x0.07)=0.3770.000-(0.000x-0.072)=0.0000.00-(0.000x0.07)=0.000-0.072-(1.000x-0.072)=0.0000.07-(1.000x0.07)=0.0000.004-(0.040x-0.072)=0.0070.01-(0.040x0.07)=0.003-0.014-(-0.187x-0.072)=-0.027-0.01-(-0.187x0.07)=0.0070.000-(-0.173x-0.072)=-0.0120.00-(-0.173x0.07)=0.0130.072-(-1.000x-0.072)=0.000-0.07-(-1.000x0.07)=0.000-0.004-(-0.040x-0.072)=-0.007-0.01-(-0.040x0.07)=-0.0030.014-(0.187x-0.072)=0.0270.01-(0.187x0.07)=-0.0070.000-(0.173x-0.072)=0.0120.00-(0.173x0.07)=-0.0130.000-(0.000x-0.072)=0.0001.00-(0.000x0.07)=1.000PARA X1PARA A5cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A5400X20.2400.0001.0000.4340.0000.000-0.0060.044-0.0480.0000.006-0.0440.0480.000500X40.1580.0000.000-0.0831.0000.000-0.004-0.0240.0470.0000.0040.024-0.0470.000800X10.4031.0000.0000.2720.0000.0000.007-0.027-0.0120.000-0.0070.0270.0120.0000S10.0690.0000.000-4.1480.0001.0000.040-0.187-0.173-1.000-0.0400.1870.1730.0001000A50.1980.0000.0000.3770.0000.0000.0030.0070.0130.000-0.003-0.007-0.0131.000ZJ696.126482800400726.8669350004.26350461-9.0856397.504611330-4.263504619.085639-7.504611331000Cj-Zj00-126.8669300-4.263504619.085639-7.5046113310001004.2635990.9143611007.504610QUINTA ITERACION0.240-(0.526x0.434)=0.0120.16-(0.526x-0.08)=0.2020.000-(0.000x0.434)=0.0000.00-(0.000x-0.08)=0.0001.000-(0.000x0.434)=1.0000.00-(0.000x-0.08)=0.0000.434-(1.000x0.434)=0.000-0.08-(1.000x-0.08)=0.0000.000-(0.000x0.434)=0.0001.00-(0.000x-0.08)=1.0000.000-(0.000x0.434)=0.0000.00-(0.000x-0.08)=0.000-0.006-(0.009x0.434)=-0.0100.00-(0.009x-0.08)=-0.0030.044-(0.018x0.434)=0.036-0.02-(0.018x-0.08)=-0.022-0.048-(0.034x0.434)=-0.0630.05-(0.034x-0.08)=0.0500.000-(0.000x0.434)=0.0000.00-(0.000x-0.08)=0.0000.006-(-0.009x0.434)=0.0100.00-(-0.009x-0.08)=0.003-0.044-(-0.018x0.434)=-0.0360.02-(-0.018x-0.08)=0.0220.048-(-0.034x0.434)=0.063-0.05-(-0.034x-0.08)=-0.0500.000-(2.649x0.434)=-1.1490.00-(2.649x-0.08)=0.220PARA X2PARA X40.40-(0.526x0.27)=0.2600.07-(0.526x-4.15)=2.2491.00-(0.000x0.27)=1.0000.00-(0.000x-4.15)=0.0000.00-(0.000x0.27)=0.0000.00-(0.000x-4.15)=0.0000.27-(1.000x0.27)=0.000-4.15-(1.000x-4.15)=0.0000.00-(0.000x0.27)=0.0000.00-(0.000x-4.15)=0.0000.00-(0.000x0.27)=0.0001.00-(0.000x-4.15)=1.0000.01-(0.009x0.27)=0.0040.04-(0.009x-4.15)=0.077-0.03-(0.018x0.27)=-0.032-0.19-(0.018x-4.15)=-0.111-0.01-(0.034x0.27)=-0.022-0.17-(0.034x-4.15)=-0.0310.00-(0.000x0.27)=0.000-1.00-(0.000x-4.15)=-1.000-0.01-(-0.009x0.27)=-0.004-0.04-(-0.009x-4.15)=-0.0770.03-(-0.018x0.27)=0.0320.19-(-0.018x-4.15)=0.1110.01-(-0.034x0.27)=0.0220.17-(-0.034x-4.15)=0.0310.00-(2.649x0.27)=-0.7200.00-(2.649x-4.15)=10.988PARA X1PARA S1cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A5400X20.0120.0001.0000.0000.0000.000-0.0100.036-0.0630.0000.010-0.0360.063-1.149500X40.2020.0000.0000.0001.0000.000-0.003-0.0220.0500.0000.0030.022-0.0500.220800X10.2601.0000.0000.0000.0000.0000.004-0.032-0.0220.000-0.0040.0320.022-0.7200S12.2490.0000.0000.0000.0001.0000.077-0.111-0.031-1.000-0.0770.1110.03110.988600X30.5260.0000.0001.0000.0000.0000.0090.0180.0340.000-0.009-0.018-0.0342.649ZJ629.44297180040060050003.12997347-11.40583553.183023870-3.1299734711.4058355-3.18302387663.925729Cj-Zj00000-3.1299734711.4058355-3.1830238710001003.12997988.5941641003.18302336.074271SEXTA ITERACION0.0123-(4.014x-0.063)=0.2640.26-(4.014x-0.02)=0.3470.0000-(0.000x-0.063)=0.0001.00-(0.000x-0.02)=1.0001.0000-(0.000x-0.063)=1.0000.00-(0.000x-0.02)=0.0000.0000-(0.000x-0.063)=0.0000.00-(0.000x-0.02)=0.0000.0000-(19.897x-0.063)=1.2470.00-(19.897x-0.02)=0.4310.0000-(0.000x-0.063)=0.0000.00-(0.000x-0.02)=0.000-0.0099-(-0.064x-0.063)=-0.0140.00-(-0.064x-0.02)=0.0030.0360-(-0.442x-0.063)=0.008-0.03-(-0.442x-0.02)=-0.042-0.0627-(1.000x-0.063)=0.000-0.02-(1.000x-0.02)=0.0000.0000-(0.000x-0.063)=0.0000.00-(0.000x-0.02)=0.0000.0099-(0.064x-0.063)=0.0140.00-(0.064x-0.02)=-0.003-0.0360-(0.442x-0.063)=-0.0080.03-(0.442x-0.02)=0.0420.0627-(-1.000x-0.063)=0.0000.02-(-1.000x-0.02)=0.000-1.1492-(4.375x-0.063)=-0.875-0.72-(4.375x-0.02)=-0.6252.249-(4.014x-0.031)=2.3750.53-(4.014x0.03)=0.3890.000-(0.000x-0.031)=0.0000.00-(0.000x0.03)=0.0000.000-(0.000x-0.031)=0.0000.00-(0.000x0.03)=0.0000.000-(0.000x-0.031)=0.0001.00-(0.000x0.03)=1.0000.000-(19.897x-0.031)=0.6250.00-(19.897x0.03)=-0.6781.000-(0.000x-0.031)=1.0000.00-(0.000x0.03)=0.0000.077-(-0.064x-0.031)=0.0750.01-(-0.064x0.03)=0.011-0.111-(-0.442x-0.031)=-0.1250.02-(-0.442x0.03)=0.033-0.031-(1.000x-0.031)=0.0000.03-(1.000x0.03)=0.000-1.000-(0.000x-0.031)=-1.0000.00-(0.000x0.03)=0.000-0.077-(0.064x-0.031)=-0.075-0.01-(0.064x0.03)=-0.0110.111-(0.442x-0.031)=0.125-0.02-(0.442x0.03)=-0.0330.031-(-1.000x-0.031)=0.000-0.03-(-1.000x0.03)=0.00010.988-(4.375x-0.031)=11.1252.65-(4.375x0.03)=2.500cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A5400X20.2640.0001.0000.0001.2470.000-0.0140.0080.0000.0000.014-0.0080.000-0.8750S44.0140.0000.0000.00019.8970.000-0.064-0.4421.0000.0000.0640.442-1.0004.375800X10.3471.0000.0000.0000.4310.0000.003-0.0420.0000.000-0.0030.0420.000-0.6250S12.3750.0000.0000.0000.6251.0000.075-0.1250.000-1.000-0.0750.1250.00011.125600X30.3890.0000.0001.000-0.6780.0000.0110.0330.0000.000-0.011-0.0330.0002.500ZJ616.666667800400600436.66666703.33333333-1000-3.33333333100650Cj-Zj00063.33333330-3.3333333310010001003.333339901000350SEPTIMA ITERACION0.264-(31.667x-0.014)=0.7044.01-(31.667x-0.06)=6.0370.000-(0.000x-0.014)=0.0000.00-(0.000x-0.06)=0.0001.000-(0.000x-0.014)=1.0000.00-(0.000x-0.06)=0.0000.000-(0.000x-0.014)=0.0000.00-(0.000x-0.06)=0.0001.247-(8.333x-0.014)=1.36319.90-(8.333x-0.06)=20.4300.000-(13.333x-0.014)=0.1850.00-(13.333x-0.06)=0.852-0.014-(1.000x-0.014)=0.000-0.06-(1.000x-0.06)=0.0000.008-(-1.667x-0.014)=-0.015-0.44-(-1.667x-0.06)=-0.5480.000-(0.000x-0.014)=0.0001.00-(0.000x-0.06)=1.0000.000-(-13.333x-0.014)=-0.1850.00-(-13.333x-0.06)=-0.8520.014-(-1.000x-0.014)=0.0000.06-(-1.000x-0.06)=0.000-0.008-(1.667x-0.014)=0.0150.44-(1.667x-0.06)=0.5480.000-(0.000x-0.014)=0.000-1.00-(0.000x-0.06)=-1.000-0.875-(148.333x-0.014)=1.1854.38-(148.333x-0.06)=13.8520.347-(31.667x0.003)=0.2590.39-(31.667x0.01)=0.0371.000-(0.000x0.003)=1.0000.00-(0.000x0.01)=0.0000.000-(0.000x0.003)=0.0000.00-(0.000x0.01)=0.0000.000-(0.000x0.003)=0.0001.00-(0.000x0.01)=1.0000.431-(8.333x0.003)=0.407-0.68-(8.333x0.01)=-0.7700.000-(13.333x0.003)=-0.0370.00-(13.333x0.01)=-0.1480.003-(1.000x0.003)=0.0000.01-(1.000x0.01)=0.000-0.042-(-1.667x0.003)=-0.0370.03-(-1.667x0.01)=0.0520.000-(0.000x0.003)=0.0000.00-(0.000x0.01)=0.0000.000-(-13.333x0.003)=0.0370.00-(-13.333x0.01)=0.148-0.003-(-1.000x0.003)=0.000-0.01-(-1.000x0.01)=0.0000.042-(1.667x0.003)=0.037-0.03-(1.667x0.01)=-0.0520.000-(0.000x0.003)=0.0000.00-(0.000x0.01)=0.000-0.625-(148.333x0.003)=-1.0372.50-(148.333x0.01)=0.852cjmezclacantidad800400600500000010001000100010001000X1X2X3X4S1S2S3S4A1A2A3A4A5400X20.7040.0001.0000.0001.3630.1850.000-0.0150.000-0.1850.0000.0150.0001.1850S46.0370.0000.0000.00020.4300.8520.000-0.5481.000-0.8520.0000.548-1.00013.852800X10.2591.0000.0000.0000.407-0.0370.000-0.0370.0000.0370.0000.0370.000-1.0370S231.6670.0000.0000.0008.33313.3331.000-1.6670.000-13.333-1.0001.6670.000148.333600X30.0370.0000.0001.000-0.770-0.1480.0000.0520.0000.1480.000-0.0520.0000.852ZJ511.111111800400600408.888889-44.44444440-4.44444444044.444444404.444444440155.555556Cj-Zj00091.111111144.444444404.444444440955.5555561000995.5555561000844.444444TABLA FINALSOLUCION SIMPLIFICADA02BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5S110382-1000100005S290150751750-10001000100R14525203700-100010030R230251812000-10001020R311110000000011Z175200203600121400226500-1000-1000-1000-100000000156000BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5R110382-1000100005R290150751750-10001000100R34525203700-100010030R430251812000-10001020R511110000000011Z175200203600121400226500-1000-1000-1000-100000000156000PRIMERA ITERACIONFILA VIEJA R2FILA PIVOTE COEFICIENTE NUEVA FILA R2 FILA VIEJA R3FILA PIVOTE COEFICIENTE NUEVA FILA R310-0.5143x2=8.9745-0.5143x37=25.97143-0.8571x2=1.2925-0.8571x37=-6.71438-0.4286x2=7.1420-0.4286x37=4.14292-1.0000x2=0.0037-1.0000x37=0.0000-1-0.0000x2=-1.000-0.0000x37=0.00000--0.0057x2=0.010--0.0057x37=0.21140-0.0000x2=0.00-1-0.0000x37=-1.00000-0.0000x2=0.000-0.0000x37=0.00001-0.0000x2=1.000-0.0000x37=0.00000-0.0057x2=-0.010-0.0057x37=-0.21140-0.0000x2=0.001-0.0000x37=1.00000-0.0000x2=0.000-0.0000x37=0.00000-0.0000x2=0.000-0.0000x37=0.00005-0.5714x2=3.8630-0.5714x37=8.8571FILA VIEJA R4FILA PIVOTE COEFICIENTE NUEVA FILA R4FILA VIEJA R5FILA PIVOTE COEFICIENTE NUEVA FILA R530-0.5143x12=23.8291-0.5143x1=0.48625-0.8571x12=14.7141-0.8571x1=0.14318-0.4286x12=12.8571-0.4286x1=0.57112-1.0000x12=0.0001-1.0000x1=0.0000-0.0000x12=0.0000-0.0000x1=0.0000--0.0057x12=0.0690--0.0057x1=0.0060-0.0000x12=0.0000-0.0000x1=0.000-1-0.0000x12=-1.0000-0.0000x1=0.0000-0.0000x12=0.0000-0.0000x1=0.0000-0.0057x12=-0.0690-0.0057x1=-0.0060-0.0000x12=0.0000-0.0000x1=0.0001-0.0000x12=1.0000-0.0000x1=0.0000-0.0000x12=0.0001-0.0000x1=1.00020-0.5714x12=13.1431-0.5714x1=0.429FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z175200-0.5143x226500=58714.29203600-0.8571x226500=9457.14121400-0.4286x226500=24328.57226500-1.0000x226500=0.00-1000-0.0000x226500=-1000.00-1000--0.0057x226500=294.29-1000-0.0000x226500=-1000.00-1000-0.0000x226500=-1000.000-0.0000x226500=0.000-0.0057x226500=-1294.290-0.0000x226500=0.000-0.0000x226500=0.000-0.0000x226500=0.00156000-0.5714x226500=26571.43BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5R18.9711.2867.1430.000-1.0000.0110.0000.0001.000-0.0110.0000.0000.0003.857X40.5140.8570.4291.0000.000-0.0060.0000.0000.0000.0060.0000.0000.0000.571R325.971-6.7144.1430.0000.0000.211-1.0000.0000.000-0.2111.0000.0000.0008.857R423.82914.71412.8570.0000.0000.0690.000-1.0000.000-0.0690.0001.0000.00013.143R50.4860.1430.5710.0000.0000.0060.0000.0000.000-0.0060.0000.0001.0000.429Z58714.2869457.14324328.5710.000-1000.000294.286-1000.000-1000.0000.000-1294.2860.0000.0000.00026571.429SEGUNDA ITERACIONFILA VIEJA R1FILA PIVOTE COEFICIENTE NUEVA FILA R1FILA VIEJA X4FILA PIVOTE COEFICIENTE NUEVA FILA X48.971-1.000x8.971=0.0000.51-1.000x0.514=0.0001.286--0.259x8.971=3.6050.86--0.259x0.514=0.9907.143-0.160x8.971=5.7120.43-0.160x0.514=0.3470.000-0.000x8.971=0.0001.00-0.000x0.514=1.000-1.000-0.000x8.971=-1.0000.00-0.000x0.514=0.0000.011-0.008x8.971=-0.062-0.01-0.008x0.514=-0.0100.000--0.039x8.971=0.3450.00--0.039x0.514=0.0200.000-0.000x8.971=0.0000.00-0.000x0.514=0.0001.000-0.000x8.971=1.0000.00-0.000x0.514=0.000-0.011--0.008x8.971=0.0620.01--0.008x0.514=0.0100.000-0.039x8.971=-0.3450.00-0.039x0.514=-0.0200.000-0.000x8.971=0.0000.00-0.000x0.514=0.0000.000-0.000x8.971=0.0000.00-0.000x0.514=0.0003.857-0.341x8.971=0.7980.57-0.341x0.514=0.396FILA VIEJA R4FILA PIVOTE COEFICIENTE NUEVA FILA R4FILA VIEJA R5FILA PIVOTE COEFICIENTE NUEVA FILA R523.83-1.000x23.829=0.0000.49-1.000x0.486=0.00014.71--0.259x23.829=20.8750.14--0.259x0.486=0.26812.86-0.160x23.829=9.0560.57-0.160x0.486=0.4940.00-0.000x23.829=0.0000.00-0.000x0.486=0.0000.00-0.000x23.829=0.0000.00-0.000x0.486=0.0000.07-0.008x23.829=-0.1250.01-0.008x0.486=0.0020.00--0.039x23.829=0.9170.00--0.039x0.486=0.019-1.00-0.000x23.829=-1.0000.00-0.000x0.486=0.0000.00-0.000x23.829=0.0000.00-0.000x0.486=0.000-0.07--0.008x23.829=0.125-0.01--0.008x0.486=-0.0020.00-0.039x23.829=-0.9170.00-0.039x0.486=-0.0191.00-0.000x23.829=1.0000.00-0.000x0.486=0.0000.00-0.000x23.829=0.0001.00-0.000x0.486=1.00013.14-0.341x23.829=5.0170.43-0.341x0.486=0.263FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z58714.29-1.000x58714.29=0.09457.14--0.259x58714.29=24636.324328.57-0.160x58714.29=14962.70.00-0.000x58714.29=0.0-1000.00-0.000x58714.29=-1000.0294.29-0.008x58714.29=-183.7-1000.00--0.039x58714.29=1260.7-1000.00-0.000x58714.29=-1000.00.00-0.000x58714.29=0.0-1294.29--0.008x58714.29=-816.30.00-0.039x58714.29=-2260.70.00-0.000x58714.29=0.00.00-0.000x58714.29=0.026571.43-0.341x58714.29=6547.9BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5R10.0003.6055.7120.000-1.000-0.0620.3450.0001.0000.062-0.3450.0000.0000.798X40.0000.9900.3471.0000.000-0.0100.0200.0000.0000.010-0.0200.0000.0000.396X11.000-0.2590.1600.0000.0000.008-0.0390.0000.000-0.0080.0390.0000.0000.341R40.00020.8759.0560.0000.000-0.1250.917-1.0000.0000.125-0.9171.0000.0005.017R50.0000.2680.4940.0000.0000.0020.0190.0000.000-0.002-0.0190.0001.0000.263Z0.00024636.30414962.7060.000-1000.000-183.6961260.726-1000.0000.000-816.304-2260.7260.0000.0006547.855TERCERA ITERACIONFILA VIEJA X4FILA PIVOTE COEFICIENTE NUEVA FILA X4FILA VIEJA X1FILA PIVOTE COEFICIENTE NUEVA FILA X10.000-0.000x0.990=0.0001.00-0.000x-0.26=1.0000.990-1.000x0.990=0.000-0.26-1.000x-0.26=0.0000.347-1.584x0.990=-1.2220.16-1.584x-0.26=0.5691.000-0.000x0.990=1.0000.00-0.000x-0.26=0.0000.000--0.277x0.990=0.2750.00--0.277x-0.26=-0.072-0.010--0.017x0.990=0.0070.01--0.017x-0.26=0.0040.020-0.096x0.990=-0.075-0.04-0.096x-0.26=-0.0140.000-0.000x0.990=0.0000.00-0.000x-0.26=0.0000.000-0.277x0.990=-0.2750.00-0.277x-0.26=0.0720.010-0.017x0.990=-0.007-0.01-0.017x-0.26=-0.004-0.020--0.096x0.990=0.0750.04--0.096x-0.26=0.0140.000-0.000x0.990=0.0000.00-0.000x-0.26=0.0000.000-0.000x0.990=0.0000.00-0.000x-0.26=0.0000.396-0.221x0.990=0.1770.34-0.221x-0.26=0.398FILA VIEJA R4FILA PIVOTE COEFICIENTE NUEVA FILA R4FILA VIEJA R5FILA PIVOTE COEFICIENTE NUEVA FILA R50.000-0.000x20.875=0.0000.00-0.000x0.27=0.00020.875-1.000x20.875=0.0000.27-1.000x0.27=0.0009.056-1.584x20.875=-24.0170.49-1.584x0.27=0.0690.000-0.000x20.875=0.0000.00-0.000x0.27=0.0000.000--0.277x20.875=5.7900.00--0.277x0.27=0.074-0.125--0.017x20.875=0.2310.00--0.017x0.27=0.0060.917-0.096x20.875=-1.0830.02-0.096x0.27=-0.007-1.000-0.000x20.875=-1.0000.00-0.000x0.27=0.0000.000-0.277x20.875=-5.7900.00-0.277x0.27=-0.0740.125-0.017x20.875=-0.2310.00-0.017x0.27=-0.006-0.917--0.096x20.875=1.083-0.02--0.096x0.27=0.0071.000-0.000x20.875=1.0000.00-0.000x0.27=0.0000.000-0.000x20.875=0.0001.00-0.000x0.27=1.0005.017-0.221x20.875=0.3980.26-0.221x0.27=0.204FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z0.0-0.000x24636.3=0.0024636.3-1.000x24636.3=0.0014962.7-1.584x24636.3=-24070.460.0-0.000x24636.3=0.00-1000.0--0.277x24636.3=5833.81-183.7--0.017x24636.3=237.311260.7-0.096x24636.3=-1099.91-1000.0-0.000x24636.3=-1000.000.0-0.277x24636.3=-6833.81-816.3-0.017x24636.3=-1237.31-2260.7--0.096x24636.3=99.910.0-0.000x24636.3=0.000.0-0.000x24636.3=0.006547.9-0.221x24636.3=1097.35BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5X20.0001.0001.5840.000-0.277-0.0170.0960.0000.2770.017-0.0960.0000.0000.221X40.0000.000-1.2221.0000.2750.007-0.0750.000-0.275-0.0070.0750.0000.0000.177X11.0000.0000.5690.000-0.0720.004-0.0140.0000.072-0.0040.0140.0000.0000.398R40.0000.000-24.0170.0005.7900.231-1.083-1.000-5.790-0.2311.0831.0000.0000.398R50.0000.0000.0690.0000.0740.006-0.0070.000-0.074-0.0060.0070.0001.0000.204Z0.0000.000-24070.4610.0005833.811237.309-1099.908-1000.000-6833.811-1237.30999.9080.0000.0001097.345CUARTA ITERACIONFILA VIEJA X2FILA PIVOTE COEFICIENTE NUEVA FILA X2FILA VIEJA X4FILA PIVOTE COEFICIENTE NUEVA FILA X40.000-0.000x-0.277=0.0000.00-0.000x0.27=0.0001.000-0.000x-0.277=1.0000.00-0.000x0.27=0.0001.584--4.148x-0.277=0.434-1.22--4.148x0.27=-0.0830.000-0.000x-0.277=0.0001.00-0.000x0.27=1.000-0.277-1.000x-0.277=0.0000.27-1.000x0.27=0.000-0.017-0.040x-0.277=-0.0060.01-0.040x0.27=-0.0040.096--0.187x-0.277=0.044-0.08--0.187x0.27=-0.0240.000--0.173x-0.277=-0.0480.00--0.173x0.27=0.0470.277--1.000x-0.277=0.000-0.27--1.000x0.27=0.0000.017--0.040x-0.277=0.006-0.01--0.040x0.27=0.004-0.096-0.187x-0.277=-0.0440.08-0.187x0.27=0.0240.000-0.173x-0.277=0.0480.00-0.173x0.27=-0.0470.000-0.000x-0.277=0.0000.00-0.000x0.27=0.0000.221-0.069x-0.277=0.2400.18-0.069x0.27=0.158FILA VIEJA X1FILA PIVOTE COEFICIENTE NUEVA FILA X1FILA VIEJA R5FILA PIVOTE COEFICIENTE NUEVA FILA R51.000-0.000x-0.072=1.0000.00-0.000x0.07=0.0000.000-0.000x-0.072=0.0000.00-0.000x0.07=0.0000.569--4.148x-0.072=0.2720.07--4.148x0.07=0.3770.000-0.000x-0.072=0.0000.00-0.000x0.07=0.000-0.072-1.000x-0.072=0.0000.07-1.000x0.07=0.0000.004-0.040x-0.072=0.0070.01-0.040x0.07=0.003-0.014--0.187x-0.072=-0.027-0.01--0.187x0.07=0.0070.000--0.173x-0.072=-0.0120.00--0.173x0.07=0.0130.072--1.000x-0.072=0.000-0.07--1.000x0.07=0.000-0.004--0.040x-0.072=-0.007-0.01--0.040x0.07=-0.0030.014-0.187x-0.072=0.0270.01-0.187x0.07=-0.0070.000-0.173x-0.072=0.0120.00-0.173x0.07=-0.0130.000-0.000x-0.072=0.0001.00-0.000x0.07=1.0000.398-0.069x-0.072=0.4030.20-0.069x0.07=0.198FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z0.00-0.000x5833.81=0.0000.00-0.000x5833.81=0.000-24070.5--4.148x5833.81=126.8670.00-0.000x5833.81=0.0005833.81-1.000x5833.81=0.000237.31-0.040x5833.81=4.264-1099.91--0.187x5833.81=-9.086-1000.00--0.173x5833.81=7.505-6833.81--1.000x5833.81=-1000.000-1237.31--0.040x5833.81=-1004.26499.91-0.187x5833.81=-990.9140.00-0.173x5833.81=-1007.5050.00-0.000x5833.81=0.0001097.35-0.069x5833.81=696.126BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5X20.0001.0000.4340.0000.000-0.0060.044-0.0480.0000.006-0.0440.0480.0000.240X40.0000.000-0.0831.0000.000-0.004-0.0240.0470.0000.0040.024-0.0470.0000.158X11.0000.0000.2720.0000.0000.007-0.027-0.0120.000-0.0070.0270.0120.0000.403S10.0000.000-4.1480.0001.0000.040-0.187-0.173-1.000-0.0400.1870.1730.0000.069R50.0000.0000.3770.0000.0000.0030.0070.0130.000-0.003-0.007-0.0131.0000.198Z0.0000.000126.8670.0000.0004.264-9.0867.505-1000.000-1004.264-990.914-1007.5050.000696.126QUINTA ITERACIONFILA VIEJA X2FILA PIVOTE COEFICIENTE NUEVA FILA X2FILA VIEJA X4FILA PIVOTE COEFICIENTE NUEVA FILA X40.000-0.000x0.434=0.0000.00-0.000x-0.08=0.0001.000-0.000x0.434=1.0000.00-0.000x-0.08=0.0000.434-1.000x0.434=0.000-0.08-1.000x-0.08=0.0000.000-0.000x0.434=0.0001.00-0.000x-0.08=1.0000.000-0.000x0.434=0.0000.00-0.000x-0.08=0.000-0.006-0.009x0.434=-0.0100.00-0.009x-0.08=-0.0030.044-0.018x0.434=0.036-0.02-0.018x-0.08=-0.022-0.048-0.034x0.434=-0.0630.05-0.034x-0.08=0.0500.000-0.000x0.434=0.0000.00-0.000x-0.08=0.0000.006--0.009x0.434=0.0100.00--0.009x-0.08=0.003-0.044--0.018x0.434=-0.0360.02--0.018x-0.08=0.0220.048--0.034x0.434=0.063-0.05--0.034x-0.08=-0.0500.000-2.649x0.434=-1.1490.00-2.649x-0.08=0.2200.240-0.526x0.434=0.0120.16-0.526x-0.08=0.202FILA VIEJA X1FILA PIVOTE COEFICIENTE NUEVA FILA X1FILA VIEJA S1FILA PIVOTE COEFICIENTE NUEVA FILA S11.00-0.000x0.27=1.0000.00-0.000x-4.15=0.0000.00-0.000x0.27=0.0000.00-0.000x-4.15=0.0000.27-1.000x0.27=0.000-4.15-1.000x-4.15=0.0000.00-0.000x0.27=0.0000.00-0.000x-4.15=0.0000.00-0.000x0.27=0.0001.00-0.000x-4.15=1.0000.01-0.009x0.27=0.0040.04-0.009x-4.15=0.077-0.03-0.018x0.27=-0.032-0.19-0.018x-4.15=-0.111-0.01-0.034x0.27=-0.022-0.17-0.034x-4.15=-0.0310.00-0.000x0.27=0.000-1.00-0.000x-4.15=-1.000-0.01--0.009x0.27=-0.004-0.04--0.009x-4.15=-0.0770.03--0.018x0.27=0.0320.19--0.018x-4.15=0.1110.01--0.034x0.27=0.0220.17--0.034x-4.15=0.0310.00-2.649x0.27=-0.7200.00-2.649x-4.15=10.9880.40-0.526x0.27=0.2600.07-0.526x-4.15=2.249FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z0.000-0.000x126.867=0.0000.000-0.000x126.867=0.000126.867-1.000x126.867=0.0000.000-0.000x126.867=0.0000.000-0.000x126.867=0.0004.264-0.009x126.867=3.130-9.086-0.018x126.867=-11.4067.505-0.034x126.867=3.183-1000.000-0.000x126.867=-1000.000-1004.264--0.009x126.867=-1003.130-990.914--0.018x126.867=-988.594-1007.505--0.034x126.867=-1003.1830.000-2.649x126.867=-336.074696.126-0.526x126.867=629.443BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5X20.0001.0000.0000.0000.000-0.0100.036-0.0630.0000.010-0.0360.063-1.1490.012X40.0000.0000.0001.0000.000-0.003-0.0220.0500.0000.0030.022-0.0500.2200.202X11.0000.0000.0000.0000.0000.004-0.032-0.0220.000-0.0040.0320.022-0.7200.260S10.0000.0000.0000.0001.0000.077-0.111-0.031-1.000-0.0770.1110.03110.9882.249X30.0000.0001.0000.0000.0000.0090.0180.0340.000-0.009-0.018-0.0342.6490.526Z0.0000.0000.0000.0000.0003.130-11.4063.183-1000.000-1003.130-988.594-1003.183-336.074629.443SEXTA ITERACIONFILA VIEJA X2FILA PIVOTE COEFICIENTE NUEVA FILA X2FILA VIEJA X1FILA PIVOTE COEFICIENTE NUEVA FILA X10.0000-0.000x-0.063=0.0001.00-0.000x-0.02=1.0001.0000-0.000x-0.063=1.0000.00-0.000x-0.02=0.0000.0000-0.000x-0.063=0.0000.00-0.000x-0.02=0.0000.0000-19.897x-0.063=1.2470.00-19.897x-0.02=0.4310.0000-0.000x-0.063=0.0000.00-0.000x-0.02=0.000-0.0099--0.064x-0.063=-0.0140.00--0.064x-0.02=0.0030.0360--0.442x-0.063=0.008-0.03--0.442x-0.02=-0.042-0.0627-1.000x-0.063=0.000-0.02-1.000x-0.02=0.0000.0000-0.000x-0.063=0.0000.00-0.000x-0.02=0.0000.0099-0.064x-0.063=0.0140.00-0.064x-0.02=-0.003-0.0360-0.442x-0.063=-0.0080.03-0.442x-0.02=0.0420.0627--1.000x-0.063=0.0000.02--1.000x-0.02=0.000-1.1492-4.375x-0.063=-0.875-0.72-4.375x-0.02=-0.6250.0123-4.014x-0.063=0.2640.26-4.014x-0.02=0.347FILA VIEJA S1FILA PIVOTE COEFICIENTE NUEVA FILA S1FILA VIEJA X3FILA PIVOTE COEFICIENTE NUEVA FILA X30.000-0.000x-0.031=0.0000.00-0.000x0.03=0.0000.000-0.000x-0.031=0.0000.00-0.000x0.03=0.0000.000-0.000x-0.031=0.0001.00-0.000x0.03=1.0000.000-19.897x-0.031=0.6250.00-19.897x0.03=-0.6781.000-0.000x-0.031=1.0000.00-0.000x0.03=0.0000.077--0.064x-0.031=0.0750.01--0.064x0.03=0.011-0.111--0.442x-0.031=-0.1250.02--0.442x0.03=0.033-0.031-1.000x-0.031=0.0000.03-1.000x0.03=0.000-1.000-0.000x-0.031=-1.0000.00-0.000x0.03=0.000-0.077-0.064x-0.031=-0.075-0.01-0.064x0.03=-0.0110.111-0.442x-0.031=0.125-0.02-0.442x0.03=-0.0330.031--1.000x-0.031=0.000-0.03--1.000x0.03=0.00010.988-4.375x-0.031=11.1252.65-4.375x0.03=2.5002.249-4.014x-0.031=2.3750.53-4.014x0.03=0.389FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z0.000-0.000x3.183=0.0000.000-0.000x3.183=0.0000.000-0.000x3.183=0.0000.000-19.897x3.183=-63.3330.000-0.000x3.183=0.0003.130--0.064x3.183=3.333-11.406--0.442x3.183=-10.0003.183-1.000x3.183=0.000-1000.000-0.000x3.183=-1000.000-1003.130-0.064x3.183=-1003.333-988.594-0.442x3.183=-990.000-1003.183--1.000x3.183=-1000.000-336.074-4.375x3.183=-350.000629.443-4.014x3.183=616.667BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5X20.0001.0000.0001.2470.000-0.0140.0080.0000.0000.014-0.0080.000-0.8750.264S40.0000.0000.00019.8970.000-0.064-0.4421.0000.0000.0640.442-1.0004.3754.014X11.0000.0000.0000.4310.0000.003-0.0420.0000.000-0.0030.0420.000-0.6250.347S10.0000.0000.0000.6251.0000.075-0.1250.000-1.000-0.0750.1250.00011.1252.375X30.0000.0001.000-0.6780.0000.0110.0330.0000.000-0.011-0.0330.0002.5000.389Z0.0000.0000.000-63.3330.0003.333-10.0000.000-1000.000-1003.333-990.000-1000.000-350.000616.667SEPTIMA ITERACIONFILA VIEJA X2FILA PIVOTE COEFICIENTE NUEVA FILA X2FILA VIEJA S4FILA PIVOTE COEFICIENTE NUEVA FILA S40.000-0.000x-0.014=0.0000.00-0.000x-0.06=0.0001.000-0.000x-0.014=1.0000.00-0.000x-0.06=0.0000.000-0.000x-0.014=0.0000.00-0.000x-0.06=0.0001.247-8.333x-0.014=1.36319.90-8.333x-0.06=20.4300.000-13.333x-0.014=0.1850.00-13.333x-0.06=0.852-0.014-1.000x-0.014=0.000-0.06-1.000x-0.06=0.0000.008--1.667x-0.014=-0.015-0.44--1.667x-0.06=-0.5480.000-0.000x-0.014=0.0001.00-0.000x-0.06=1.0000.000--13.333x-0.014=-0.1850.00--13.333x-0.06=-0.8520.014--1.000x-0.014=0.0000.06--1.000x-0.06=0.000-0.008-1.667x-0.014=0.0150.44-1.667x-0.06=0.5480.000-0.000x-0.014=0.000-1.00-0.000x-0.06=-1.000-0.875-148.333x-0.014=1.1854.38-148.333x-0.06=13.8520.264-31.667x-0.014=0.7044.01-31.667x-0.06=6.037FILA VIEJA X1FILA PIVOTE COEFICIENTE NUEVA FILA X1FILA VIEJA X3FILA PIVOTE COEFICIENTE NUEVA FILA X31.000-0.000x0.003=1.0000.00-0.000x0.01=0.0000.000-0.000x0.003=0.0000.00-0.000x0.01=0.0000.000-0.000x0.003=0.0001.00-0.000x0.01=1.0000.431-8.333x0.003=0.407-0.68-8.333x0.01=-0.7700.000-13.333x0.003=-0.0370.00-13.333x0.01=-0.1480.003-1.000x0.003=0.0000.01-1.000x0.01=0.000-0.042--1.667x0.003=-0.0370.03--1.667x0.01=0.0520.000-0.000x0.003=0.0000.00-0.000x0.01=0.0000.000--13.333x0.003=0.0370.00--13.333x0.01=0.148-0.003--1.000x0.003=0.000-0.01--1.000x0.01=0.0000.042-1.667x0.003=0.037-0.03-1.667x0.01=-0.0520.000-0.000x0.003=0.0000.00-0.000x0.01=0.000-0.625-148.333x0.003=-1.0372.50-148.333x0.01=0.8520.347-31.667x0.003=0.2590.39-31.667x0.01=0.037FILA VIEJA ZFILA PIVOTE COEFICIENTE NUEVA FILA Z0.000-0.000x3.333=0.000.000-0.000x3.333=0.000.000-0.000x3.333=0.00-63.333-8.333x3.333=-91.110.000-13.333x3.333=-44.443.333-1.000x3.333=0.00-10.000--1.667x3.333=-4.440.000-0.000x3.333=0.00-1000.000--13.333x3.333=-955.56-1003.333--1.000x3.333=-1000.00-990.000-1.667x3.333=-995.56-1000.000-0.000x3.333=-1000.00-350.000-148.333x3.333=-844.44616.667-31.667x3.333=511.11BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVARIABLE ARTIFICIALVALORES DE SOLUCIONX1X2X3X4S1S2S3S4R1R2R3R4R5X20.0001.0000.0001.3630.1850.000-0.0150.000-0.1850.0000.0150.0001.1850.704S40.0000.0000.00020.4300.8520.000-0.5481.000-0.8520.0000.548-1.00013.8526.037X11.0000.0000.0000.407-0.0370.000-0.0370.0000.0370.0000.0370.000-1.0370.259S20.0000.0000.0008.33313.3331.000-1.6670.000-13.333-1.0001.6670.000148.33331.667X30.0000.0001.000-0.770-0.1480.0000.0520.0000.1480.000-0.0520.0000.8520.037Z0.0000.0000.000-91.111-44.4440.000-4.4440.000-955.556-1000.000-995.556-1000.000-844.444511.111TABLA FINALSOLUCIN 03Funcin Objetivo: Max Z = 80.00x1 + 60.00x2Sujeto a:0.002x1 + 0.003x2 30 5,000x1 + 2,000x2 10,000 x1, x2 0

SUMAMOS LAS VARIABLES DE HOLGURA0.002x1 + 0.003x2 +S1 = 30 5,000x1 + 2,000x2 +S2 = 10,000

cjmezclacantidad806000x1x2S1S20s1300.0020.003100s2100005000200001Zj00000Cj-Zj806000TABLA GENERALcjmezclacantidad806000x1x2S1S20s1300.0020.003100s2100005000200001Zj00000Cj-Zj806000PRIMERA ITERACION30.000-(2.000x0.002)=29.9960.002-(1.000x0.002)=0.0000.003-(0.400x0.002)=0.0021.000-(0.000x0.002)=1.0000.000-(0.000x0.002)=0.000PARA S1cjmezclacantidad806000x1x2S1S20s129.9960.0000.0021.0000.00080X1210.400.0002Zj160803200.016Cj-Zj0280-0.016SEGUNDA ITERACION29.996-(5.000x0.002)=29.9850.000-(2.500x0.002)=-0.0060.002-(1.000x0.002)=0.0001.000-(0.000x0.002)=1.0000.000-(0.001x0.002)=0.000PARA S1cjmezclacantidad806000x1x2S1S20s129.985-0.0060.0001.0000.00060X252.5100.0005Zj3001506000.03Cj-Zj-7000-0.03TABLA FINALDe esta manera encontramos la solucin bsica factible

Zj = US$300

SOLUCION SIMPLIFICADA03Funcin Objetivo: Max Z = 80.00x1 + 60.00x2Sujeto a:0.002x1 + 0.003x2 30 5,000x1 + 2,000x2 10,000 x1, x2 0

SUMAMOS LAS VARIABLES DE HOLGURA0.002x1 + 0.003x2 +S1 = 30 5,000x1 + 2,000x2 +S2 = 10,000LA FUNCION OBJETIVO Z - 80.00x1 - 60.00x2 =0

BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVALORES DE SOLUCIONX1X2S1S2S10.0020.0031030S2500020000110000Z-80-60000TABLA GENERALBASEVARIABLE DE DECISINVARIABLE DE HOLGURAVALORES DE SOLUCIONX1X2S1S2S10.0020.0031030S2500020000110000Z-80-60000PRIMERA ITERACIONFILA VIEJA S1FILA PIVOTECOEFICIENTENUEVA FILA S10.002-1.000x0.002=0.0000.003-0.400x0.002=0.0021.000-0.000x0.002=1.0000.000-0.000x0.002=0.00030.000-2.000x0.002=29.996FILA VIEJA ZFILA PIVOTECOEFICIENTENUEVA FILA Z-80-1.000x-80=0-60-0.400x-80=-280-0.000x-80=00-0.000x-80=0.0160-2.000x-80=160BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVALORES DE SOLUCIONX1X2S1S2S10.0000.0021.0000.00029.996X110.400.00022Z0-2800.016160SEGUNDA ITERACIONFILA VIEJA S1FILA PIVOTECOEFICIENTENUEVA FILA S10.000-2.500x0.002=-0.0060.002-1.000x0.002=0.0001.000-0.000x0.002=1.0000.000-0.001x0.002=0.00029.996-5.000x0.002=29.985FILA VIEJA ZFILA PIVOTECOEFICIENTENUEVA FILA Z0-2.500x-28=70-28-1.000x-28=00-0.000x-28=00.016-0.001x-28=0.03160-5.000x-28=300BASEVARIABLE DE DECISINVARIABLE DE HOLGURAVALORES DE SOLUCIONX1X2S1S2S1-0.0060.0001.0000.00029.985X12.5100.00055Z70000.03300TABLA FINALDe esta manera encontramos la solucin bsica factible

Zj = US$300