2014年的世界杯足球赛在巴西举行.为了满足球迷的需要,某体育服装店老板计划到服装批发市场选购A、B两种

2024-11-17 06:28:19
推荐回答(1个)
回答(1):

设该店订购甲款运动服x套,则订购乙款运动服(30-x)套,由题意,得
(1)

350x+200(30?x)≥7600
350x+200(30?x)≤8000

解这个不等式组,得
32
3
≤x≤
40
3

∵x为整数,∴x取11,12,13
∴30-x取19,18,17
答:方案①甲款11套,乙款19套;②甲款12套,乙款18套;③甲款13套,乙款17套;

(2)解法一:设该店全部出售甲、乙两款运动服后获利y元,
则y=(400-350)x+(300-200)(30-x)
=50x+3000-100x=-50x+3000.
∵-50<0,
∴y随x增大而减小,
∴当x=11时,y最大.
解法二:三种方案分别获利为:
方案一:(400-350)×11+(300-200)×19=2450(元)
方案二:(400-350)×12+(300-200)×18=2400(元)
方案三:(400-350)×13+(300-200)×17=2350(元)
∵2450>2400>2350.
∴方案一即甲款11套,乙款19套,获利最大.
答:甲款11套,乙款19套,获利最大.

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