A1 Consider the following linear program:Min 8X + 12YS.t.1X + 3Y 292X + 2Y 2 106X + 2Y Z 18X, 1 20a. Use the graphical solution procedure to find the optimal solution.b. Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use the graphical solutionprocedure to find the new optimal solution.c. Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12 to 6. Does theoptimal solution change? Use the graphical solution procedure to find the new optimal solution.d. The sensitivity report for the linear program in part (a) provides the following objective coefficient range informationVariableObjectiveCoefficient8.00012.000AllowableIncrease4.00012.000AllowableDecrease4.0004.000How would this objective coefficient range information help you answer parts (b) and(c) prior to resolving the problem?

Objective Function:Minimize Z = 8X + 12YSubject to-X + 3Y ≥ 9 (Constraint 1)2X + 2Y ≥ 10 (Constraint…

Answered: Consider the following linear program:…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section4.8: Data Envelopment Analysis (dea)

Problem 43P

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