某家具厂有方木材90m3（立方米），木工板600m3（立方米），生产书桌和书柜所用材料数量及利润如下表:
在生产计划最优化的情况下，最大利润为（ ）元。
- A.54000
- B.55000
- C.56000
- D.58000
正确答案及解析
正确答案
解析
本考题考查的知识点为最优化问题。
设生产书桌X张，书橱Y张，利润总额为z元．建立方程组：
0.1X+0.2Y＜=90
2X+Y＜=600
满足：80X+120Y=MAX（）即可；
解方程后的结果：X=100，Y=400，代入80X+120Y=MAX（），得到MAX=56000。
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