Solve the linear programming problem. Maximize z=15x+15y Subject to 10x+6y ≥ 150 15x−11y ≥ 25 x+y ≤ 45 x, y ≥ 0 What is the maximum value of z? Select the correct choice below and fill in any answer boxes present in your choice.
Solve the linear programming problem. Maximize z=15x+15y Subject to 10x+6y ≥ 150 15x−11y ≥ 25 x+y ≤ 45 x, y ≥ 0 What is the maximum value of z? Select the correct choice below and fill in any answer boxes present in your choice.
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
z=15x+15y
|
Subject to
|
10x+6y
|
≥
|
150
|
|
|
15x−11y
|
≥
|
25
|
|
|
x+y
|
≤
|
45
|
|
|
x, y
|
≥
|
0
|
What is the maximum value of z?
Select the correct choice below and fill in any answer boxes present in your choice.
z=
(Type an integer or a fraction.)
There is no maximum value of z.
At what corner point(s) does the maximum value of z occur?
Select the correct choice below and fill in any answer boxes present in your choice.
The maximum value of z occurs at the corner point(s)
nothing.
(Type an ordered pair. Use a comma to separate answers as needed.)
There is no maximum value of z.
Expert Solution
Step 1
To find the maximum value of Z, we have to find the corner points and substitute them in the maximize equation to find the maximum value.
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