某工厂可以生产A、B两种产品，各种资源的可供量、生产每种产品所消耗的资源数量及产生的单位利润见下表。A、B两种产品的产量为（ ）时利润最大。
- A.A=35，B=15
- B.A=15，B=35
- C.A=25，B=25
- D.A=30，B=20
正确答案及解析
正确答案
解析
本考题考查的知识点为资源配置利润最大化计算题。
设A产品生产X，B产品生产Y时，可以满足题干要求。
依据题意可以列以下不等式
1、5x+3y≤200
2、x+y≤50
3、3x+5y≤220
求4x+3y的最大值。
式子1与式子2的交点为x=25，y=25，代入式子3，不等式成立，可以作为候选项。
式子2和式子3的交点为x=15，y=35，代入式子1，不等式成立，可以作为候选项。
式子1与式子3的交点为x=21.25，y=31.25，跟任一选项都不符合，舍弃。
将x=25，y=25代入4x+3y，得到175
将x=15，y=35代入4x+3y，得到165
故选x=25，y=25
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