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82问答网 > 高中数学导数习题，要详细的解题过程。

高中数学导数习题，要详细的解题过程。

2025-03-16 08:39:57

推荐回答（1个）

回答1：

解:设收入为R
则:R=q•p=q•[25-(1/8)q]
=25q-(1/8)q²
利润L=R-C=[25q-(1/8)q²]-(100+4q)
=-(1/8)q²+21q-100
(0＜q＜200)
L'=-(1/4)q+21
令L'=0
得:q=84
∵0＜q＜84时
L'＞0
当84＜q＜200时
L'＜0
∴当q=84时，L取得最大值，利润最大.

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