摘要：某批发市场批发甲.乙两种水果.根据以往经验和市场行情.预计夏季某一段时间内.甲种水果的销售利润与进货量(吨)近似满足函数关系,乙种水果的销售利润与进货量(吨)近似满足函数关系(其中为常数).且进货量为1吨时.销售利润为1.4万元,进货量为2吨时.销售利润为2.6万元． (1)求与(吨)之间的函数关系式． (2)如果市场准备进甲.乙两种水果共10吨.设乙种水果的进货量为吨.请你写出这两种水果所获得的销售利润之和与(吨)之间的函数关系式．并求出这两种水果各进多少吨时获得的销售利润之和最大.最大利润是多少? 解:(1)由题意.得:解得······················································· ∴····················································································· (2) ∴··················································································· ∴时.有最大值为6.6. ····························· ∴(吨). 答:甲.乙两种水果的进货量分别为4吨和6吨时.获得的销售利润之和最大.最大利润是6.6万元.

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