In the Great Threads model, we found an upper bound on production of any clothing type by calculating the amount that could be produced if all of the resources were devoted to this clothing type. a. What if you instead use a very large value such as 1,000,000 for this upper bound? Try it and see whether you get the same optimal solution. b. Explain why any such upper bound is required. Exactly what role does it play in the model?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 20P
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In the Great Threads model, we found an upper bound on production of any clothing type by calculating the amount that could be produced if all of the resources were devoted to this clothing type.

a. What if you instead use a very large value such as 1,000,000 for this upper bound? Try it and see whether you get the same optimal solution.

b. Explain why any such upper bound is required. Exactly what role does it play in the model?

 

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