Maximize and minimize z=4x+5y Subject to 2x+y ≥ 10 x+2y ≥ 8 x, y ≥ 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve the linear programming problem.
Maximize and minimize
z=4x+5y
|
Subject to
|
2x+y
|
≥
|
10
|
|
|
x+2y
|
≥
|
8
|
|
|
x, y
|
≥
|
0
|
What is the minumum value of z?
What are the coordinates of the corner point where the minimum value of z occurs?
What is the maximum value of z?
What are the coordinates of the corner point where the maximum value of z occurs?
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