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某汽车运输公司,购买了一批豪华大客车投入营运,据市场分析每辆客车营运的总利润y(...

某汽车运输公司,购买了一批豪华大客车投入营运,据市场分析每辆客车营运的总利润y(单位:万元)与营运年数x(x∈N)为二次函数关系(如图),则每辆客车营运多少年,其营运的年平均利润最大(    )

6ec8aac122bd4f6e

A.3                                  B.4 

C.5                                 D.6

 

C 【解析】可设y=a(x-6)2+11,又曲线过(4,7),∴7=a(4-6)2+11       ∴a=-1. 即y=-x2+12x-25,∴=12-(x+)≤12-2=2,当且仅当x=5时取等号. 故选C.
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