SOLUTION: Maximize z=0.4x-0.2y Subject to: 2x-5y>=3 2x-y<=5 3x+y=6 x,y=0 I have been trying to solve the question but my answer is not always in synch with the graph. Could you help

Algebra ->  College  -> Linear Algebra -> SOLUTION: Maximize z=0.4x-0.2y Subject to: 2x-5y>=3 2x-y<=5 3x+y=6 x,y=0 I have been trying to solve the question but my answer is not always in synch with the graph. Could you help      Log On


   

Question 1088154: Maximize z=0.4x-0.2y
Subject to:
2x-5y>=3
2x-y<=5
3x+y=6
x,y=0
I have been trying to solve the question but my answer is not always in synch with the graph. Could you help so that I know where I am going wrong thank you.
Email alexciathompson@outlook.com
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your case is very special: it is degenerated in some sense.

Your difficulties go from the fact that "the object function" z = 0.4x - 0.2 y is "parallel" to the line 2x - y = 5.

Therefore, all the points at this line create the same value of the objective function.


Did your teacher or your textbook touched you on this subject ?

It is the degenerated case of the linear programming method.


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For the regular case of the linear programming method see the lesson
    - Solving minimax problems by the Linear Programming method
in this site.