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Your town is considering updating one of the local parks. They created a linear program that had the following constraints: 1. Spend no more than $100,000 2. Spend no more than $50,000 on new playground equipment 3. Put in at least three basketball courts After running the linear program, the town saw that the program was infeasible. The town has decided to make constraints 1& 2 goals, instead of hard constraints. How many decision variables would need to be added to the town's linear program, in order to turn it into a goal program with two soft constraints that allow deviation in both directions?

Your town is considering updating one of the local parks. They created a linear program that had the following constraints: 1. Spend no more than $100,000 2. Spend no more than $50,000 on new playground equipment 3. Put in at least three basketball courts After running the linear program, the town saw that the program was infeasible. The town has decided to make constraints 1& 2 goals, instead of hard constraints. How many decision variables would need to be added to the town's linear program, in order to turn it into a goal program with two soft constraints that allow deviation in both directions?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Your town is considering updating one of the local parks. They created a linear program that had the following constraints: 1. Spend no more than $100,000 2. Spend no more than $50,000 on new playground equipment 3. Put in at least three basketball courts After running the linear program, the town saw that the program was infeasible. The town has decided to make constraints 1 & 2 goals, instead of hard constraints. How many decision variables would need to be added to the town's linear program, in order to turn it into a goal program with two soft constraints that allow deviation in both directions?
Transcribed Image Text:Your town is considering updating one of the local parks. They created a linear program that had the following constraints: 1. Spend no more than $100,000 2. Spend no more than $50,000 on new playground equipment 3. Put in at least three basketball courts After running the linear program, the town saw that the program was infeasible. The town has decided to make constraints 1 & 2 goals, instead of hard constraints. How many decision variables would need to be added to the town's linear program, in order to turn it into a goal program with two soft constraints that allow deviation in both directions?
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