﻿164:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas de las dietas:@0.287495:0.118227:0.473946:0.118227:0.473946:0.101326:0.287495:0.101326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Durante el embarazo los aportes y requerimientos de energía, proteínas y vitami-:@0.287495:0.138391:0.903636:0.138391:0.903636:0.122002:0.287495:0.122002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nas se incrementan. Una mujer embarazada, para cubrir sus necesidades mínimas de :@0.287495:0.154987:0.907678:0.154987:0.907678:0.138599:0.287495:0.138599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proteínas, carbohidratos y grasas, requiere de 10, 16 y 12 unidades respectivamente.:@0.287495:0.171584:0.901591:0.171584:0.901591:0.155195:0.287495:0.155195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el mercado se consiguen dos productos:  1 y  2, cuyo contenido y costos por :@0.287495:0.195303:0.907733:0.195303:0.907733:0.178914:0.287495:0.178914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.623781:0.195303:0.632553:0.195303:0.632553:0.178942:0.623781:0.178942:0.000000
P:@0.661263:0.195303:0.670035:0.195303:0.670035:0.178942:0.661263:0.178942:0.000000
kilogramos son::@0.287495:0.211899:0.402502:0.211899:0.402502:0.195510:0.287495:0.195510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántos kilogramos de cada producto debe comprar una mujer embarazada como :@0.287495:0.320232:0.907731:0.320232:0.907731:0.303843:0.287495:0.303843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo para que los costos de preparar la dieta sea el más bajo?:@0.287495:0.336828:0.759166:0.336828:0.759166:0.320440:0.287495:0.320440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto:@0.301887:0.239224:0.368579:0.239224:0.368579:0.223860:0.301887:0.223860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proteínas:@0.410342:0.239224:0.478558:0.239224:0.478558:0.223860:0.410342:0.223860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Carbohidratos:@0.516184:0.239224:0.619647:0.239224:0.619647:0.223860:0.516184:0.223860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grasas:@0.667374:0.239224:0.715387:0.239224:0.715387:0.223860:0.667374:0.223860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costo (por cada kg):@0.759479:0.239224:0.898707:0.239224:0.898707:0.223860:0.759479:0.223860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x:@0.294868:0.264169:0.325910:0.264169:0.325910:0.249295:0.294868:0.249295:0.000000:0.000000:0.000000
1 ( ):@0.302842:0.264169:0.330350:0.264169:0.330350:0.249270:0.302842:0.249270:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.441552:0.264169:0.449727:0.264169:0.449727:0.249270:0.441552:0.249270:0.000000
10:@0.560930:0.264169:0.577280:0.264169:0.577280:0.249270:0.560930:0.249270:0.000000:0.000000
2:@0.687293:0.264169:0.695468:0.264169:0.695468:0.249270:0.687293:0.249270:0.000000
$5:@0.820910:0.264169:0.837261:0.264169:0.837261:0.249270:0.820910:0.249270:0.000000:0.000000
P y:@0.294851:0.289114:0.325910:0.289114:0.325910:0.274240:0.294851:0.274240:0.000000:0.000000:0.000000
2 ( ):@0.302826:0.289114:0.330350:0.289114:0.330350:0.274215:0.302826:0.274215:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.441535:0.289114:0.449711:0.289114:0.449711:0.274215:0.441535:0.274215:0.000000
4:@0.565001:0.289114:0.573176:0.289114:0.573176:0.274215:0.565001:0.274215:0.000000
5:@0.687276:0.289114:0.695451:0.289114:0.695451:0.274215:0.687276:0.274215:0.000000
$4:@0.820893:0.289114:0.837244:0.289114:0.837244:0.274215:0.820893:0.274215:0.000000:0.000000
©Shutterstock:@0.068421:0.208679:0.068421:0.165854:0.056510:0.165854:0.056510:0.208679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una dieta equilibrada es :@0.083025:0.452268:0.247835:0.452268:0.247835:0.437368:0.083025:0.437368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquella que proporciona :@0.080009:0.466098:0.247833:0.466098:0.247833:0.451199:0.080009:0.451199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las cantidades adecuadas :@0.074699:0.479928:0.247835:0.479928:0.247835:0.465029:0.074699:0.465029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de calorías y nutrientes :@0.090429:0.493758:0.247831:0.493758:0.247831:0.478859:0.090429:0.478859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esenciales para asegurar :@0.081969:0.507589:0.247835:0.507589:0.247835:0.492690:0.081969:0.492690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el funcionamiento óptimo :@0.068634:0.521419:0.247833:0.521419:0.247833:0.506520:0.068634:0.506520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del organismo. :@0.145310:0.535249:0.247833:0.535249:0.247833:0.520350:0.145310:0.520350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Precisamente, uno de los :@0.077882:0.674407:0.247833:0.674407:0.247833:0.659508:0.077882:0.659508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primeros problemas :@0.109510:0.688238:0.247833:0.688238:0.247833:0.673339:0.109510:0.673339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abordados mediante la :@0.089910:0.702068:0.247833:0.702068:0.247833:0.687169:0.089910:0.687169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimización lineal en:@0.097130:0.715898:0.244166:0.715898:0.244166:0.700999:0.097130:0.700999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la década de 1930 fue el :@0.082606:0.729729:0.247835:0.729729:0.247835:0.714830:0.082606:0.714830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominado ‘problema :@0.087296:0.743559:0.247835:0.743559:0.247835:0.728660:0.087296:0.728660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la dieta’, cuyo objetivo :@0.077044:0.757389:0.247831:0.757389:0.247831:0.742490:0.077044:0.742490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consistía en diseñar una :@0.084415:0.771220:0.247835:0.771220:0.247835:0.756321:0.084415:0.756321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alimentación balanceada :@0.076458:0.785050:0.247835:0.785050:0.247835:0.770151:0.076458:0.770151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al menor costo posible.:@0.089122:0.798880:0.244163:0.798880:0.244163:0.783981:0.089122:0.783981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué es importante:@0.098906:0.816269:0.244164:0.816269:0.244164:0.801395:0.098906:0.801395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una dieta saludable:@0.118339:0.830099:0.244166:0.830099:0.244166:0.815225:0.118339:0.815225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en madres en gestación?:@0.088000:0.843929:0.244164:0.843929:0.244164:0.829055:0.088000:0.829055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.140542:0.412630:0.218777:0.412630:0.218777:0.395729:0.140542:0.395729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.142432:0.426460:0.220248:0.426460:0.220248:0.409560:0.142432:0.409560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.592972:0.068421:0.550147:0.056510:0.550147:0.056510:0.592972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una buena nutrición garantiza :@0.074990:0.246672:0.260709:0.246672:0.260709:0.233263:0.074990:0.233263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la salud del bebé.:@0.074990:0.259244:0.179261:0.259244:0.179261:0.245835:0.074990:0.245835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.294196:0.363243:0.349831:0.363243:0.349831:0.347665:0.294196:0.347665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos las variables que intervienen en el problema::@0.349831:0.363243:0.750808:0.363243:0.750808:0.348344:0.349831:0.348344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.294196:0.385460:0.300981:0.385460:0.300981:0.370586:0.294196:0.370586:0.000000
: es la cantidad en kilogramos del producto  1.:@0.300981:0.385460:0.610694:0.385460:0.610694:0.370561:0.300981:0.370561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.591630:0.385460:0.599604:0.385460:0.599604:0.370586:0.591630:0.370586:0.000000
y:@0.294196:0.400547:0.300998:0.400547:0.300998:0.385673:0.294196:0.385673:0.000000
: es la cantidad en kilogramos del producto  2.:@0.300998:0.400547:0.610711:0.400547:0.610711:0.385648:0.300998:0.385648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.591647:0.400547:0.599621:0.400547:0.599621:0.385673:0.591647:0.385673:0.000000
Paso 2. :@0.294196:0.420262:0.349831:0.420262:0.349831:0.404684:0.294196:0.404684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos las restricciones del problema y la función objetivo.:@0.349831:0.420262:0.793309:0.420262:0.793309:0.405363:0.349831:0.405363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cantidad mínima de proteínas requeridas: 4  + 3  ≥ 10:@0.294196:0.442478:0.658189:0.442478:0.658189:0.427579:0.294196:0.427579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.585433:0.442478:0.592218:0.442478:0.592218:0.427604:0.585433:0.427604:0.000000
y:@0.617715:0.442478:0.624517:0.442478:0.624517:0.427604:0.617715:0.427604:0.000000
Cantidad mínima de carbohidratos requerida: 10  + 4  ≥ 16 ÷ 2; 5  + 2  ≥ 8:@0.294196:0.464695:0.795189:0.464695:0.795189:0.449796:0.294196:0.449796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.617596:0.464695:0.624381:0.464695:0.624381:0.449821:0.617596:0.449821:0.000000
y:@0.649878:0.464695:0.656680:0.464695:0.656680:0.449821:0.649878:0.449821:0.000000
x:@0.730608:0.464695:0.737393:0.464695:0.737393:0.449821:0.730608:0.449821:0.000000
y:@0.762890:0.464695:0.769691:0.464695:0.769691:0.449821:0.762890:0.449821:0.000000
Cantidad mínima de grasas requerida: 2  + 5  ≥ 12:@0.294196:0.486911:0.631117:0.486911:0.631117:0.472012:0.294196:0.472012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.558362:0.486911:0.565146:0.486911:0.565146:0.472037:0.558362:0.472037:0.000000
y:@0.590643:0.486911:0.597445:0.486911:0.597445:0.472037:0.590643:0.472037:0.000000
Función objetivo a minimizar:  ( ,  ) = 5  + 4:@0.294196:0.509128:0.588802:0.509128:0.588802:0.494229:0.294196:0.494229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F x y:@0.494654:0.509128:0.526584:0.509128:0.526584:0.494254:0.494654:0.494254:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.556520:0.509128:0.563305:0.509128:0.563305:0.494254:0.556520:0.494254:0.000000
y:@0.588802:0.509128:0.595604:0.509128:0.595604:0.494254:0.588802:0.494254:0.000000
Paso 3. :@0.294196:0.527183:0.349831:0.527183:0.349831:0.511605:0.294196:0.511605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ordenamos la información::@0.349831:0.527183:0.530720:0.527183:0.530720:0.512284:0.349831:0.512284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función objetivo  ( ,  ) = 5  + 4 , está sujeta a las restricciones::@0.294196:0.549399:0.726856:0.549399:0.726856:0.534500:0.294196:0.534500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F x y:@0.426354:0.549399:0.458284:0.549399:0.458284:0.534525:0.426354:0.534525:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.488221:0.549399:0.495006:0.549399:0.495006:0.534525:0.488221:0.534525:0.000000
y:@0.520503:0.549399:0.527304:0.549399:0.527304:0.534525:0.520503:0.534525:0.000000
Paso 4. :@0.294196:0.612717:0.349831:0.612717:0.349831:0.597139:0.294196:0.597139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos las restricciones del :@0.349831:0.612717:0.561344:0.612717:0.561344:0.597818:0.349831:0.597818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.376886:0.612717:0.380555:0.612717:0.380555:0.597818:0.376886:0.597818:0.000000
problema y determinamos los vértices:@0.294196:0.627804:0.549783:0.627804:0.549783:0.612905:0.294196:0.612905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la región factible.:@0.294196:0.642892:0.428850:0.642892:0.428850:0.627993:0.294196:0.627993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.324904:0.665108:0.333900:0.665108:0.333900:0.650235:0.324904:0.650235:0.000000
 (1, 2);   (0,57; 2,57);   (6, 0);   (0, 4):@0.333900:0.665108:0.561648:0.665108:0.561648:0.650209:0.333900:0.650209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.375965:0.665108:0.384006:0.665108:0.384006:0.650235:0.375965:0.650235:0.000000
C:@0.464602:0.665108:0.473615:0.665108:0.473615:0.650235:0.464602:0.650235:0.000000
D:@0.515680:0.665108:0.526167:0.665108:0.526167:0.650235:0.515680:0.650235:0.000000
Paso 5. :@0.294196:0.783785:0.349831:0.783785:0.349831:0.768207:0.294196:0.768207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos la solución, para ello reemplazamos cada punto en la función :@0.349831:0.783785:0.864942:0.783785:0.864942:0.768886:0.349831:0.768886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objetivo. F( ,  ) = 5  + 4:@0.294196:0.798873:0.449960:0.798873:0.449960:0.783974:0.294196:0.783974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.367572:0.798873:0.387742:0.798873:0.387742:0.783999:0.367572:0.783999:0.000000:0.000000:0.000000
x:@0.417678:0.798873:0.424463:0.798873:0.424463:0.783999:0.417678:0.783999:0.000000
y:@0.449960:0.798873:0.456762:0.798873:0.456762:0.783999:0.449960:0.783999:0.000000
F(1, 2) = 5(1) + 4(2) = 13;  F(0,57; 2,57) = 5(0,57) + 4(2,57) = 13,13:@0.294196:0.821089:0.717429:0.821089:0.717429:0.806190:0.294196:0.806190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F(6,0) = 5(6) + 4(0) = 30;  F(0,4) = 5(0) + 4(4) = 16:@0.294196:0.843306:0.613765:0.843306:0.613765:0.828407:0.294196:0.828407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor mínimo de la función objetivo está en el vértice (1, 2).:@0.294196:0.865522:0.701105:0.865522:0.701105:0.850623:0.294196:0.850623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 6. :@0.294196:0.883502:0.349831:0.883502:0.349831:0.867924:0.294196:0.867924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretamos la solución del problema.:@0.349831:0.883502:0.615822:0.883502:0.615822:0.868603:0.349831:0.868603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para que el costo de preparar la dieta sea mínimo, debe comprar 1 kg del primer producto :@0.294196:0.905718:0.898295:0.905718:0.898295:0.890819:0.294196:0.890819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y 2 kg del segundo producto.:@0.294196:0.920806:0.489828:0.920806:0.489828:0.905907:0.294196:0.905907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4  + 3  ≥ 10:@0.746886:0.549104:0.827817:0.549104:0.827817:0.534205:0.746886:0.534205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.755062:0.549104:0.761846:0.549104:0.761846:0.534230:0.755062:0.534230:0.000000
y:@0.787343:0.549104:0.794145:0.549104:0.794145:0.534230:0.787343:0.534230:0.000000
5  + 2  ≥ 8:@0.746886:0.564191:0.819642:0.564191:0.819642:0.549292:0.746886:0.549292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.755062:0.564191:0.761846:0.564191:0.761846:0.549317:0.755062:0.549317:0.000000
y:@0.787343:0.564191:0.794145:0.564191:0.794145:0.549317:0.787343:0.549317:0.000000
2  + 5  ≥ 12:@0.746886:0.579279:0.827817:0.579279:0.827817:0.564380:0.746886:0.564380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.755062:0.579279:0.761846:0.579279:0.761846:0.564405:0.755062:0.564405:0.000000
y:@0.787343:0.579279:0.794145:0.579279:0.794145:0.564405:0.787343:0.564405:0.000000
x:@0.746886:0.594366:0.753671:0.594366:0.753671:0.579493:0.746886:0.579493:0.000000
 ≥ 0;   ≥ 0:@0.753671:0.594366:0.818051:0.594366:0.818051:0.579467:0.753671:0.579467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.785752:0.594366:0.792553:0.594366:0.792553:0.579493:0.785752:0.579493:0.000000
2:@0.609014:0.712730:0.615752:0.712730:0.615752:0.700882:0.609014:0.700882:0.000000
4:@0.609014:0.677954:0.615752:0.677954:0.615752:0.666105:0.609014:0.666105:0.000000
6:@0.609014:0.643236:0.615752:0.643236:0.615752:0.631388:0.609014:0.631388:0.000000
7:@0.609014:0.625691:0.615752:0.625691:0.615752:0.613842:0.609014:0.613842:0.000000
1:@0.609014:0.730020:0.615752:0.730020:0.615752:0.718171:0.609014:0.718171:0.000000
3:@0.609014:0.695243:0.615752:0.695243:0.615752:0.683395:0.609014:0.683395:0.000000
5:@0.609014:0.660526:0.615752:0.660526:0.615752:0.648678:0.609014:0.648678:0.000000
2:@0.663901:0.754525:0.670638:0.754525:0.670638:0.742676:0.663901:0.742676:0.000000
4:@0.710198:0.754525:0.716935:0.754525:0.716935:0.742676:0.710198:0.742676:0.000000
6:@0.757493:0.754525:0.764230:0.754525:0.764230:0.742676:0.757493:0.742676:0.000000
8:@0.804079:0.754525:0.810816:0.754525:0.810816:0.742676:0.804079:0.742676:0.000000
10:@0.847368:0.754525:0.860843:0.754525:0.860843:0.742676:0.847368:0.742676:0.000000:0.000000
1:@0.640575:0.754525:0.647312:0.754525:0.647312:0.742676:0.640575:0.742676:0.000000
3:@0.687253:0.754525:0.693990:0.754525:0.693990:0.742676:0.687253:0.742676:0.000000
5:@0.733313:0.754525:0.740051:0.754525:0.740051:0.742676:0.733313:0.742676:0.000000
7:@0.780753:0.754525:0.787490:0.754525:0.787490:0.742676:0.780753:0.742676:0.000000
9:@0.827102:0.754525:0.833840:0.754525:0.833840:0.742676:0.827102:0.742676:0.000000
0:@0.609960:0.754525:0.616697:0.754525:0.616697:0.742676:0.609960:0.742676:0.000000
y:@0.609435:0.610371:0.614503:0.610371:0.614503:0.599995:0.609435:0.599995:0.000000
x:@0.869709:0.753737:0.874777:0.753737:0.874777:0.743361:0.869709:0.743361:0.000000
D:@0.625430:0.672313:0.634679:0.672313:0.634679:0.659194:0.625430:0.659194:0.000000
B:@0.637029:0.697741:0.644121:0.697741:0.644121:0.684622:0.637029:0.684622:0.000000
A:@0.649544:0.707754:0.657478:0.707754:0.657478:0.694636:0.649544:0.694636:0.000000
C :@0.757938:0.739836:0.768546:0.739836:0.768546:0.726717:0.757938:0.726717:0.000000:0.000000
cción y expresión:@0.306727:0.090870:0.431598:0.090870:0.431598:0.075506:0.306727:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.091656:0.297220:0.091656:0.297220:0.074520:0.285132:0.074520:0.000000