TAREA-9
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OPERACIÓN DE DISTRITOS DE RIEGO TAREA 9 MODELO DE PROGRAMACIÓN LINEAL CHOLULA RIVERA URIEL 1 Maximizar el beneficio neto. Beneficio neto (peso) Sujeto a: 7° "B" . = _( =1)^ ▒ ∑ 〖 ( 〖 〗 _− _ ) _ 〗 ∑_( =1)^ ▒ 〖 _≤ 〗 ∑_( =1)^ ▒ 〖 _≤ 〗 ∑_( =1)^11 ▒ 〖 _ _≤ , ( =1,2,3,…12) 〗 ∑_( =1)^12 ▒ 〖∑ _( =1)^ ▒ 〖 _ _ ≤ 〗 _ 〗 ∑24_( =1)^11▒ 〖 _ _= _ , ( =1,2,…,4) 〗 ∑24_( =1)^4▒ 〖 _= 〗 _1+ _2 ≥0.08 /2 _3+ _4 ≥0.08 /2 _1+ _2 ≥1.2 /2 _3+ _4 ≥1.2 /2 : : _ _ _ _
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Transcript of TAREA-9
Hoja1OPERACIN DE DISTRITOS DE RIEGO
TAREA 97 "B"
MODELO DE PROGRAMACIN LINEAL
CHOLULA RIVERA URIEL 1Maximizar el beneficio neto.Beneficio neto (peso)Sujeto a:Costos de poduccin, rendimientos y beneficios por cultivo en el Distrito de riego 011
CultivoCosto de produccinRendimiento estimadoPrecio ruralIngreso brutoBeneficio netorea (ha)Media ($/ha)Coef. Var. (%)(ton/ha)($/ton)($/ha)($/ha)1Ajo8425.9715649.448.448425.9771115.186862689.2152364502Alfalfa nueva767.18704099.8866.934721.1348268.1154247500.928379110613Cebada3916.6666679.752.6343916.6710316.508786399.84211366134Frijol17634.6019513.421.06717634.618816.11821181.5162591325Garbanzo2119.37753612.252.6312119.385576.088783456.71124412546Jitomate5745.86284924.120.8295745.86119680.51794113934.65509130997Trigo40009.682400080004000391318Chile16146.577968.0569.0116076.461109436.50461093289.9266429079Maiz4191.67106817.434.0524191.7316984.8899612793.2188921355310Sorgo3963.6363649.584.8873963.6419370.3086815406.672316860011Alfalfa perenne313.7909929.3878.139313.7924519.2368124205.4458183380rea total89180
CultivoOctNovDicEneFebMarAbrMayJunJulAgoSepTotalMesVolumen (Miles de m3)Ajo1.0461.4432.2361.9841.2250.4410.0520.0000.0000.0000.0000.0008.428Oct506Alfalfa Nueva 0.0000.0221.0491.6671.9822.0842.3322.0520.1570.0000.0390.11911.502Nov4454Cebada0.0000.0000.0842.4712.2552.7901.4290.0150.0000.0000.0000.0009.044Dic57375Frijol0.0000.0000.0041.8380.7501.7072.9752.7190.0610.0000.0000.00010.053Ene90723Garbanzo 0.0000.0001.9480.4120.2450.1480.0020.0040.0000.0000.0000.0002.759Feb84835Jitomate0.0000.0880.7491.6641.7472.0482.4792.8200.2770.0000.0000.00011.872Mar119504Trigo0.0000.0872.0271.9591.9042.4161.7630.0380.0000.0000.0000.00010.194Abr108429Chile 0.0000.0000.3151.2761.6011.8302.1312.7850.4190.0000.0000.00010.357May65003Maiz0.0000.0000.0000.1290.5741.1351.2801.9550.2170.0110.0180.0055.325Jun6770Sorgo0.0000.0000.0000.0000.0340.6411.4342.4820.2900.0370.0190.0204.956Jul451Alfalfa Perenne 0.0370.3430.9881.2361.1281.3471.6211.5390.1650.0140.0000.0008.418Ago380Total0.0010.0100.1690.2370.2250.3120.2920.1830.0160.0010.0010.0011.448Sep221
Funcin objetivo y restriccionesVariable X1X2X3X4X5X6X7X8X9X10X11SignoRecursoConceptoAjoAlfalfa NuevaCebadaFrijolGarbanzoJitomateTrigoChileMaizSorgoAlfalfa PerenneFuncin objetivo62689.21523647500.92837916399.8421131181.516253456.711244113934.65509140001093289.9266412793.21889215406.67231624205.445818Restriccionesrea 1111111=891801rea 21111111=89180253865189188Agua total8.42811.5029.04410.0532.75911.87210.19410.3575.3254.9568.418=3Agua Oct.1.0460.0000.0000.0000.0000.0000.0000.0000.0000.0000.037=5064Agua Nov.1.4430.0220.0000.0000.0000.0880.0870.0000.0000.0000.343=44545Agua Dic.2.2361.0490.0840.0041.9480.7492.0270.3150.0000.0000.988=573756Agua Ene.1.9841.6672.4711.8380.4121.6641.9591.2760.1290.0001.236=907237Agua Feb.1.2251.9822.2550.7500.2451.7471.9041.6010.5740.0341.128=848358Agua Mar.0.4412.0842.7901.7070.1482.0482.4161.8301.1350.6411.347=1195049Agua Abr.0.0522.3321.4292.9750.0022.4791.7632.1311.2801.4341.621=10842910Agua May.0.0002.0520.0152.7190.0042.8200.0382.7851.9552.4821.539=6500311Agua Jun.0.0000.1570.0000.0610.0000.2770.0000.4190.2170.2900.165=677012Agua Jul.0.0000.0000.0000.0000.0000.0000.0000.0000.0110.0370.014=45113Agua Ago.0.0000.0390.0000.0000.0000.0000.0000.0000.0180.0190.000=38014Agua Sep.0.0000.1190.0000.0000.0000.0000.0000.0000.0050.0200.000=22115Rest. Ajo1=45016Rest. Alfalfa Nueva1=106117Rest. Cebada1=661318Rest. Frijol1=913219Rest. Garbanzo1=125420Rest. Jitomate1=309921Rest. Trigo1=3913122Rest. Chile1=290723Rest. Maz1=1355324Rest. Sorgo1=860025Rest. Alfalfa Perenne1=338026
Hoja2OPERACIN DE DISTRITOS DE RIEGO
TAREA 97 "B"
MODELO DE PROGRAMACIN LINEAL
CHOLULA RIVERA URIEL 1Maximizar el beneficio neto.Beneficio neto (peso)Sujeto a:
Modelo de programacin lineal para el Distrito de Riego 011 Alto Ro Lerma, GuanajuatoAjoAlfalfaAvena ForrBrocoliCalabacitaCamoteCebadaCebollaChicharoChile verdeColiflorEsprragoFresaFrijolGarbanzoLechugaMazOtros pastosSorgoTomateTomate RTrigoZanahoriaZempoalxuchiOtrosRecurso usadoSignoRecursoFuncin objetivo29,03912,7216354,8367,94051,2343,2188,1619,34711,2427,16128,22470,5544,6236,9263,5084,2506,1514,35614,65825,3512,05324,37113,37210,347385591823.479262Resultado del Modelo de Programacin LinealSuperficie1251,5000022020010,00025010070001152500500010,000032,08870019040,0005010260RestriccionesCultivoSuperficie en haSuperficie total (Primeros cultivos)111111111111111111111111197258.029953917=70,000Superficie total (Segundos cultivos)111142348.029953917=70,000Ajo125Restricciones de volumenAlfalfa1500Volumen total14.1310.678.286.175.557.406.857.806.388.7711.0718.7812.9010.092.975.675.799.604.347.264.969.967.977.676.44708305.00=708,305Calabacita220Vol. Octubre0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00=500,000Cebada10000Vol. Noviembre1.771.310.000.000.000.000.000.710.000.003.954.292.040.000.000.000.001.180.000.000.000.000.000.000.003367.10=500,000Cebolla250Vol. Diciembre4.121.000.510.210.190.250.700.920.210.003.572.800.000.000.540.000.000.900.000.000.000.610.490.470.0034379.00=500,000Chicharo100Vol. Enero4.092.563.332.652.383.182.272.262.740.002.560.972.450.002.320.000.002.310.000.000.002.371.901.830.00125847.20=500,000Chile verde700Vol. Febrero2.581.652.381.341.211.612.251.091.390.570.621.223.552.620.001.630.391.480.000.790.352.471.981.900.44131275.90=500,000Trigo40000Vol. Marzo1.381.221.481.100.991.321.291.191.141.670.332.342.802.650.041.661.221.100.001.590.982.321.861.791.35124715.00=500,000Maz10000Vol. Abril0.180.800.580.860.781.040.331.290.892.770.043.452.052.670.071.692.040.720.002.401.622.181.741.682.26118476.05=500,000Sorgo32088Vol. Mayo0.000.330.000.000.000.000.000.330.002.190.001.730.001.890.000.231.060.300.231.970.270.000.000.001.1822026.80=500,000Camote200Vol. Junio0.000.800.000.000.000.000.000.000.000.990.001.040.000.260.000.050.920.721.960.501.730.000.000.001.0275049.04=500,000Esparrago115Vol. Julio0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00=500,000Fresa250Vol. Agosto0.000.990.000.000.000.000.000.000.000.580.000.930.000.000.000.400.140.891.620.000.000.000.000.000.1555419.56=500,000Garbanzo500Vol. Septiembre0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.030.000.540.000.000.000.000.000.0317635.34=500,000Zanahora50Restricciones de superficieTomate700Ajo1125.00=125Tomate Rojo190Alfalfa11500.00=1,500Zempoalxuchi10Avena Forr.10.00=300Otros260Brocoli10.00=250Calabacita1220.00=220Beneficio ($)385591823.5Camote1200.00=200Cebolla1250.00=250Agua utilizada (mm3)708305Chicharo1100.00=100Chile verde1700.00=700Coliflor10.00=30Esprrago1115.00=115Fresa1250.00=250Garbanzo1500.00=500Lechuga10.00=170Otros pastos10.00=120Tomate1700.00=700Tomate R.1190.00=190Zanahoria150.00=50Zempoalxuchilt110.00=10Otros pastos1260.00=260Trigo140000.00=40,000Maz110000.00=10,000Sorgo132088.03=10,000Frijol10.00=5,000Cebada110000.00=10,000
Resultados del modelo de programacin lineal
CultivoSuperficie (ha)Ajo125Alfalfa1,500Calabacita220Camote200Cebada10,000Cebolla250Chicharo100Chile verde700Esprrago115Fresa250Garbanzo500Maz10,000Sorgo32,088Tomate700Tomate R190Trigo40,000Zanahoria50Zempoalxuchi10Otros260Beneficio ($)$385,591,823Agua utilizada (Mm3)708305.00
