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

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.8: Systems Of Linear Equations
Problem 11E
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  1. Given the following linear program:

 

                                     Max       3x1 + 4x2

                                      s.t.        2x1 + 3x2    <   24

                                                   3x1 + x2  <  21

                                                   x1, x2 > 0

 

a. Identify the feasible region.

 

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

 

c. What is the optimal solution?

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