Maximize inequalitites

Question

Maximize z=5x-3y

 

subject to:

 

2x-y≤8

 

2x-5y≥0

 

x-y=-2

 

x,y≥0

Answer 1

Hello Katie -

 

For this objective function, z = 5x - 3y, there are no values which can be chosen to satisfy the constraints. This means that the value of z has no bound and the x and y are therefor indeterminate.

 

Hope this helps,

 

Ken