问题 解答题

某商人将进货单价为8元的某种商品按10元一个销售时,每天可卖出100个,现在他采用提高售价,减少进货量的办法增加利润,已知这种商品销售单价每涨1元,销售量就减少10个.问他将每个商品售价定为多少元时,才能使每天的利润最大?

答案

14

设每个定价为元,利润为元,

则每天销售量为=,所以

 ,                                                                                                                                                                                                                                                                                                                                                                                                                                                               

元时,最大.

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