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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 8 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 1600 $ 1500 $ 1200 $ Formulate this as a linear programming problem. A B с

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 8 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 1600 $ 1500 $ 1200 $ Formulate this as a linear programming problem. A B с

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Problem Il: 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 Ballons. 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 $ 1500 $ B 1200 S Formulate this as a linear programming problem.
Transcribed Image Text:Problem Il: 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 Ballons. 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 $ 1500 $ B 1200 S Formulate this as a linear programming problem.
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