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一、问题分析在满足各种营养素等其他方面的要求下,费用最少时每种蔬菜各多少千克,条件如下:二、模型的建立过程设青豆、胡萝卜、菜花、白菜、甜菜、土豆分别为123456XXXXXX、、、、、。主函数:123456min=XXXXXX;约束条件:(Fe):1234560.450.451.050.400.500.506.00XXXXXX;(P):12345610285925227525XXXXXX;(VA):12345641590652550751523517500XXXXXX;(VC):12345683532758245XXXXXX;(YS):1234560.300.350.600.150.250.805.00XXXXXX;(KG):123456558263140XXXXXX;青豆:1040X;胡萝卜:2040X;菜花:3040X;白菜:4020X;甜菜:5040X;土豆:6040X;三、求解过程或程序Model:min=5*x1+5*x2+8*x3+2*x4+6*x5+3*x6;[Fe]0.45*x1+0.45*x2+1.05*x3+0.40*x4+0.50*x5+0.50*x66;[P]10*x1+28*x2+59*x3+25*x4+22*x5+75*x625;[VA]415*x1+9065*x2+2550*x3+75*x4+15*x5+235*x617500;[VC]8*x1+3*x2+53*x3+27*x4+5*x5+8*x6245;[YS]0.3*x1+0.35*x2+0.6*x3+0.15*x4+0.25*x5+0.8*x65;0=x1=40;0=x2=40;0=x3=40;0=x4=20;0=x5=40;0=x6=40;x1+x2+x3+x4+x5+x6=140;end四、求解的结果Globaloptimalsolutionfound.Objectivevalue:560.0000Infeasibilities:0.000000Totalsolveriterations:1VariableValueReducedCostX140.000000.000000X240.000000.000000X30.0000003.000000X420.000000.000000X50.0000001.000000X640.000000.000000RowSlackorSurplusDualPrice1560.0000-1.000000FE58.000000.000000P4995.0000.000000VA372600.00.000000VC1055.0000.000000YS56.000000.00000070.0000000.00000080.0000000.000000940.000000.000000100.0000003.0000001140.000000.000000120.0000002.000000130.000000-5.000000分析得:应供应青豆40kg,胡萝卜40kg,菜花0kg,白菜20kg,甜菜0kg,土豆40kg,共花费560元。五、对结果必要的分析或检验经检验答案正确。
本文标题:买菜数学建模问题
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