SOLUTION: Looking for answer verification please. Find the maximum value of 2x + 3y and the point at which it occurs subject to the constraints y (greater or equal to)3x-9 y (less or

Question 1128924: Looking for answer verification please.
Find the maximum value of 2x + 3y and the point at which it occurs subject to the constraints
y (greater or equal to)3x-9
y (less or equal to)x+5
y (less or equal to)-2x+11
x (greater or equal to)0, y(greater or equal to)0
After graphing and using the points I found the answer to be: 25, at point (2,7)
is this correct?
Thank you

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.




Plot y = 3x-9 (red), y = x+5 (green),  y = -2x+11 (blue)

Your answer is correct.

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To see other similar problems solved by the Linear Programming method, look into the lesson
- Solving minimax problems by the Linear Programming method
in this site.

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