A company plans to make 3 models (A, B, and C) of their main product next month. Production capacity is limited to 100 totals. Each model takes the same about of production time. A supplier problem results in only 1,000 gallons being available next month. Each Model A requires 5 gallons of paint, each Model B requires 7 gallons and each Model C requires 10 gallons. Marketing wants the following mix: at least 5 Model B's; and no more than 2 Model C's for each Model B produced. The firm wants to select that product mix so as to maximize profit contribution. Here are the numbers that go into profit contribution: Product profit per unit A 1600 $ B 1500 $ C 1200 $ Formulate this as a linear programming problem.
A company plans to make 3 models (A, B, and C) of their main product next month. Production capacity is limited to 100 totals. Each model takes the same about of production time. A supplier problem results in only 1,000 gallons being available next month. Each Model A requires 5 gallons of paint, each Model B requires 7 gallons and each Model C requires 10 gallons. Marketing wants the following mix: at least 5 Model B's; and no more than 2 Model C's for each Model B produced. The firm wants to select that product mix so as to maximize profit contribution. Here are the numbers that go into profit contribution: Product profit per unit A 1600 $ B 1500 $ C 1200 $ Formulate this as a linear programming problem.
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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Question
A company plans to make 3 models (A, B, and C) of their main product next month. Production
capacity is limited to 100 totals. Each model takes the same about of production time. A
supplier problem results in only 1,000 gallons being available next month. Each Model A
requires 5 gallons of paint, each Model B requires 7 gallons and each Model C requires 10
gallons. Marketing wants the following mix: at least 5 Model B's; and no more than 2 Model C's
for each Model B produced. The firm wants to select that product mix so as to maximize profit
contribution.
Here are the numbers that go into profit contribution:
Product profit per unit
A 1600 $
B 1500 $
C 1200 $
Formulate this as a linear programming problem.
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