某工厂生产甲、乙两种产品，生产1公斤甲产品需要煤9公斤、电4度、油3公斤，生产1公斤乙产品需要煤4公斤、电5度、油10公斤。该工厂现有煤360公斤、电200度、油300公斤。已知甲产品每公斤利润为7千元，乙产品每公斤利润为1.2万元，为了获取最大利润应该生产甲产品 （ ） 公斤。
- A.20
- B.21
- C.22
- D.23
正确答案及解析
正确答案
解析
设x1为甲产品生产量，x2为乙产品生产量。对该问题求解最优方案可以由下列数学模型描述：max z=7x1+12x29x1+4x2≤3604x1+5x2≤2003x1+10x2≤300x1≥0，x2≥0求解得x1=20
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