SOLUTION: What are the maximum and minimum values of objective function p=x+4y with given restraints x-y<=4 , x<=2, 0<=y<=5

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Question 892441: What are the maximum and minimum values of objective function p=x+4y with given restraints x-y<=4 , x<=2, 0<=y<=5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First graph the feasible region.
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The feasible region is simplified to x%3C=2 and 0%3C=y%3C=5 and the line x-y%3C=4 does not contribute any constraint.
Since there is no minimum value for x, there is no minimum value for p.
The maximum value occurs at one of the two vertices.
(2,0):p=2%2B4%280%29=2
(2,5):p=2%2B4%285%29=2%2B20=22