Solve the following linear programming problem. z = 2x + 7y 5x + 4y ≤ 20 8x + y ≤ 20 x ≥ 0, y 20 Maximize: subject to: The maximum value is The maximum occurs at the point (Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the following linear programming problem.
z = 2x + 7y
5x + 4y ≤ 20
8x + y ≤ 20
x ≥ 0, y 20
Maximize:
subject to:
The maximum value is
The maximum occurs at the point
(Type an ordered pair. If the maximum occurs at more than one point, type
either answer. Type an integer or a fraction.)
Transcribed Image Text:Solve the following linear programming problem. z = 2x + 7y 5x + 4y ≤ 20 8x + y ≤ 20 x ≥ 0, y 20 Maximize: subject to: The maximum value is The maximum occurs at the point (Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.)
Expert Solution
Introduction

As per the question we are given the following linear programming problem :

Maximize : z = 2x + 7y

subject to : 5x + 4y ≤ 20

                                                                                   8x + y ≤ 20

                                                                                   x ≥ 0 , y ≥ 0

And we will will use the graphical method to find the optimal solution.

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