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Given the following linear program:   Max 3x1 + 4x2 s.t. 2x1 + 3x2 < 24 3x1 + x2 < 21 x1, x2 > 0   Identify the feasible region.    Find all the extreme points – list the value of x1 and x2 at each extreme point.    What is the optimal solution?

Given the following linear program:   Max 3x1 + 4x2 s.t. 2x1 + 3x2 < 24 3x1 + x2 < 21 x1, x2 > 0   Identify the feasible region.    Find all the extreme points – list the value of x1 and x2 at each extreme point.    What is the optimal solution?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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  1. Given the following linear program:

 

Max 3x1 + 4x2

s.t. 2x1 + 3x2 < 24

3x1 + x2 < 21

x1, x2 > 0

 

  • Identify the feasible region. 

 

  • Find all the extreme points – list the value of x1 and x2 at each extreme point. 

 

  • What is the optimal solution? 

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