某商场销售甲、乙两种品牌的智能手机,这两种手机的进价和售价如下表所示:·························甲············乙 进价(元/部)4000··········2500售价(元/部)4300··········3000该商场计划购进两种手机50部,共需15.5万元.请求出全部销售后可获毛利润多少万元?(毛利润=(售价-进价)×销售量)
问题描述:
某商场销售甲、乙两种品牌的智能手机,这两种手机的进价和售价如下表所示:
·························甲············乙
进价(元/部)4000··········2500
售价(元/部)4300··········3000
该商场计划购进两种手机50部,共需15.5万元.请求出全部销售后可获毛利润多少万元?(毛利润=(售价-进价)×销售量)
答
(1)设商场计划购进甲手机x部,乙种手机y部,由题意,得0.4x+0.25y=15.50.03x+0.05y=2.1解得:x=20y=30(2)设甲种手机减少a部 则乙种手机增加2a部0.4(20-a)+0.25(30+2a)≤16解得a≤5设全部销售后获得利润为w元 ...