5. Myco is considering the introduction of three new products. For each product, the labor and raw material requirements per unit produced are shown in the following table. Labor Raw Materials Profit Product (hours/unit) (pounds/unit) ($/unit) 1 3 4 25 2 4 3 30 3 5 6 22 Myco must pick one of its two plants to produce these three new products. If Myco uses the East Plant, there will be 100 labor hours and 100 pounds of raw materials available each day. If Myco uses the West Plant, there will be 90 labor hours and 120 pounds of raw materials available each day. Formulate an integer program to help Myco determine which plant to use and how much of each product to produce at the selected plant. (Only whole units can be produced.) The objective is to maximize profit. Make sure to define your variables and provide a brief yet descriptive label for your constraints

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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5. Myco is considering the introduction of three new products. For each product, the
labor and raw material requirements per unit produced are shown in the following
table.
Labor Raw Materials Profit
Product (hours/unit) (pounds/unit) ($/unit)
1 3 4 25
2 4 3 30
3 5 6 22
Myco must pick one of its two plants to produce these three new products. If Myco
uses the East Plant, there will be 100 labor hours and 100 pounds of raw materials
available each day. If Myco uses the West Plant, there will be 90 labor hours and 120
pounds of raw materials available each day.
Formulate an integer program to help Myco determine which plant to use and how
much of each product to produce at the selected plant. (Only whole units can be
produced.) The objective is to maximize profit. Make sure to define your variables
and provide a brief yet descriptive label for your constraints

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