A factory makes two different types of product: ordinary and premium. Each product is made using three different machines: A, B, and C Each ordinary product needs 3 minutes on machine A, 10 minutes on machine B. It costs $8 to make a ordinary product. Each premium product needs 7 minutes on machine A, 4 minutes on machine B, and 11 minutes on machine C. It costs $14 to make a premium product. Machine A is available for 6 hours a day, machine B for 5 hours a day, and machine C for 8 hours a day. The budget is $700 per day. The factory must make: At least 35% of total production must be premium product. Number of premium products must be less than twice the number of ordinary products. Formulate (without solving) a linear programming question to maximize the total number of productions while satisfying the constraint.
A factory makes two different types of product: ordinary and premium. Each product is made using three different machines: A, B, and C Each ordinary product needs 3 minutes on machine A, 10 minutes on machine B. It costs $8 to make a ordinary product. Each premium product needs 7 minutes on machine A, 4 minutes on machine B, and 11 minutes on machine C. It costs $14 to make a premium product. Machine A is available for 6 hours a day, machine B for 5 hours a day, and machine C for 8 hours a day. The budget is $700 per day. The factory must make: At least 35% of total production must be premium product. Number of premium products must be less than twice the number of ordinary products. Formulate (without solving) a linear programming question to maximize the total number of productions while satisfying the constraint.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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- A factory makes two different types of product: ordinary and premium. Each product is made using three different machines: A, B, and C
Each ordinary product needs 3 minutes on machine A, 10 minutes on machine B. It costs $8 to make a ordinary product.
Each premium product needs 7 minutes on machine A, 4 minutes on machine B, and 11 minutes on machine C. It costs $14 to make a premium product.
Machine A is available for 6 hours a day, machine B for 5 hours a day, and machine C for 8 hours a day. The budget is $700 per day.
The factory must make:
At least 35% of total production must be premium product.
Number of premium products must be less than twice the number of ordinary products.
Formulate (without solving) a linear programming question to maximize the total number of productions while satisfying the constraint.
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