Question for reference: For the linear program Max  2A + 3B s.t.          1A+2B <= 6          5A+3B <= 15            A, B >= 0 find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution?   **See image for answer to the above question**   Required: Please explain & show the algebra/working for the determination of the corner points A =12/7 and B =15/7.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question for reference:

For the linear program

Max  2A + 3B
s.t.

         1A+2B <= 6
         5A+3B <= 15
           A, B >= 0

find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution?

 

**See image for answer to the above question**

 

Required: Please explain & show the algebra/working for the determination of the corner points A =12/7 and B =15/7.

B
6
4
Optimal solution
A = 12/7, B = 15/7
Value of Objective Function =
2(12/7) + 3(15/7) = 69/7
A+ 2B = 6
2
5
SA + 3B= 15
3.
2.
Transcribed Image Text:B 6 4 Optimal solution A = 12/7, B = 15/7 Value of Objective Function = 2(12/7) + 3(15/7) = 69/7 A+ 2B = 6 2 5 SA + 3B= 15 3. 2.
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