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Consider the following linear program. Max     2A + 3B                                    s.t.                                             5A + 5B          ≤          350          Constraint 1 −1A + 1B        ≤          10            Constraint 2 1A + 3B          ≥          90            Constraint 3 A, B ≥ 0                                    Identify the optimal extreme point. What is the optimal solution? (A, B)= (30, 40)   How much slack or surplus is associated with the nonbinding constraint? Constraint 3 is the nonbinding constraint. There is a surplus of _________ associated with this constraint. (THE QUESTION BEING ASKED)

Consider the following linear program. Max     2A + 3B                                    s.t.                                             5A + 5B          ≤          350          Constraint 1 −1A + 1B        ≤          10            Constraint 2 1A + 3B          ≥          90            Constraint 3 A, B ≥ 0                                    Identify the optimal extreme point. What is the optimal solution? (A, B)= (30, 40)   How much slack or surplus is associated with the nonbinding constraint? Constraint 3 is the nonbinding constraint. There is a surplus of _________ associated with this constraint. (THE QUESTION BEING ASKED)

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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Consider the following linear program.

Max     2A + 3B                                 

 

s.t.                                          

 

5A + 5B          ≤          350          Constraint 1

−1A + 1B        ≤          10            Constraint 2

1A + 3B          ≥          90            Constraint 3

A, B ≥ 0                                 

 

  • Identify the optimal extreme point. What is the optimal solution?

(A, B)= (30, 40)

 

  • How much slack or surplus is associated with the nonbinding constraint?

Constraint 3 is the nonbinding constraint. There is a surplus of _________ associated with this constraint. (THE QUESTION BEING ASKED)

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