Max −A + 2B s.t.    -2A + 3B ≤ 8 (Constraint 1)      6A - 2B ≤ 5 (Constraint 2)       A +   B ≤ 5 (Constraint 3)              A ≥ 1  (Constraint 4)           A, B ≥ 0   SHOW ALL CALCULATION STEPS a)     Solve the LP Model using the graphical method. Label your graph completely (and upload your graph as a jpg). State your optimal solution and objective function value. b)    Calculate the Slack/Surplus for each constraint. c)     Calculate the Shadow/dual Prices for each constraint.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Max

−A + 2B

s.t.

  

-2A + 3B ≤ 8 (Constraint 1)

 

   6A - 2B ≤ 5 (Constraint 2)

 

    A +   B ≤ 5 (Constraint 3)

             A ≥ 1  (Constraint 4)

 

        A, B ≥ 0

 

SHOW ALL CALCULATION STEPS

a)     Solve the LP Model using the graphical method. Label your graph completely (and upload your graph as a jpg). State your optimal solution and objective function value.

b)    Calculate the Slack/Surplus for each constraint.

c)     Calculate the Shadow/dual Prices for each constraint. 

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