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3) A firm makes three products 1,2, and 3. Each product requires production time in three departments as shown. Department 1 3 hr / unit Department 2 2 hr / unit 1 hr / unit Department 3 1 hr / unit 3 hr / unit Product 1 2 4 hr / unit 3 2 hr / unit 2 hr / unit 3 hr / unit There are 600, 400, and 300 hours of production time available in the three departments respectively. If each unit of products 1, 2, and 3 contribute $2, $4, and $2.5 to profit respectively, find the optimal product mix.

3) A firm makes three products 1,2, and 3. Each product requires production time in three departments as shown. Department 1 3 hr / unit Department 2 2 hr / unit 1 hr / unit Department 3 1 hr / unit 3 hr / unit Product 1 2 4 hr / unit 3 2 hr / unit 2 hr / unit 3 hr / unit There are 600, 400, and 300 hours of production time available in the three departments respectively. If each unit of products 1, 2, and 3 contribute $2, $4, and $2.5 to profit respectively, find the optimal product mix.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
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3) A firm makes three products 1,2, and 3. Each product requires production time in three departments as shown. Department 1 3 hr / unit 4 hr / unit 2 hr / unit Department 2 2 hr / unit 1 hr / unit Department 3 1 hr / unit 3 hr / unit Product 1 2 2 hr / unit 3 hr / unit There are 600, 400, and 300 hours of production time available in the three departments respectively. If each unit of products 1, 2, and 3 contribute $2, $4, and $2.5 to profit respectively, find the optimal product mix.
Transcribed Image Text:3) A firm makes three products 1,2, and 3. Each product requires production time in three departments as shown. Department 1 3 hr / unit 4 hr / unit 2 hr / unit Department 2 2 hr / unit 1 hr / unit Department 3 1 hr / unit 3 hr / unit Product 1 2 2 hr / unit 3 hr / unit There are 600, 400, and 300 hours of production time available in the three departments respectively. If each unit of products 1, 2, and 3 contribute $2, $4, and $2.5 to profit respectively, find the optimal product mix.
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