设x,y满足约束条件{x>=0,y>=0,x/3a+y/4a<=1,若z=(x+2y+3)/(x+1)的最小值是1.5,则a的值是多少
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![设x,y满足约束条件{x>=0,y>=0,x/3a+y/4a<=1,若z=(x+2y+3)/(x+1)的最小值是1.5,则a的值是多少](/uploads/image/z/12875357-29-7.jpg?t=%E8%AE%BEx%2Cy%E6%BB%A1%E8%B6%B3%E7%BA%A6%E6%9D%9F%E6%9D%A1%E4%BB%B6%EF%BD%9Bx%EF%BC%9E%3D0%2Cy%EF%BC%9E%3D0%2Cx%2F3a%2By%2F4a%EF%BC%9C%3D1%2C%E8%8B%A5z%3D%EF%BC%88x%2B2y%2B3%EF%BC%89%2F%28x%2B1%29%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E6%98%AF1.5%2C%E5%88%99a%E7%9A%84%E5%80%BC%E6%98%AF%E5%A4%9A%E5%B0%91)
设x,y满足约束条件{x>=0,y>=0,x/3a+y/4a<=1,若z=(x+2y+3)/(x+1)的最小值是1.5,则a的值是多少
设x,y满足约束条件{x>=0,y>=0,x/3a+y/4a<=1,若z=(x+2y+3)/(x+1)的最小值是1.5,则a的值是多少
设x,y满足约束条件{x>=0,y>=0,x/3a+y/4a<=1,若z=(x+2y+3)/(x+1)的最小值是1.5,则a的值是多少
由题意得:当Z=1.5的时候是满足条件的最小值
所以,1.5=(x+2y+3)/(x+1) 可以画出图像.(与X轴交点为(3,0),与Y轴交点为(0,-3、4))
又因为 x>=0,y>=0
所以 简化x/3a+y/4a<=1 后可得,y
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