The Rebel Alliance buys and sells Starfighters. The Rebel Alliance must determine how many X-Wing Fighters and Y-Wing Fighters should be stocked. It costs the Rebel Alliance 4 credits to purchase an X-Wing Fighter and 2 credits to purchase a Y-Wing Fighter. The Rebel Alliance has set the following goals (listed in order of importance): • Goal 1: A maximum of 32 credits can be spent on purchasing XWing Fighters and Y-Wing Fighters. • Goal 2: The Rebel Alliance should store at least 7 X-Wing Fighters. • Goal 3: The Rebel Alliance should store at least 10 Y-Wing Fighters. a. Formulate a Goal Programming Model to meet the Rebel Alliance requirements.  b. Determine the optimal solution, using the Goal Simplex Algorithm, for the Rebel Alliance. Specify at each iteration, how much the goals are under or above their requirements

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.3: Flaws In Expected Maximization Of Utility: Prospect Theory And Framing Effects
Problem 3P
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The Rebel Alliance buys and sells Starfighters. The Rebel Alliance
must determine how many X-Wing Fighters and Y-Wing Fighters
should be stocked. It costs the Rebel Alliance 4 credits to purchase
an X-Wing Fighter and 2 credits to purchase a Y-Wing Fighter.
The Rebel Alliance has set the following goals (listed in order of
importance):
• Goal 1: A maximum of 32 credits can be spent on purchasing XWing Fighters and Y-Wing Fighters.
• Goal 2: The Rebel Alliance should store at least 7 X-Wing Fighters.
• Goal 3: The Rebel Alliance should store at least 10 Y-Wing Fighters.
a. Formulate a Goal Programming Model to meet the Rebel Alliance requirements. 
b. Determine the optimal solution, using the Goal Simplex Algorithm, for the Rebel
Alliance. Specify at each iteration, how much the goals are under or above their
requirements. 

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