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A company makes two fabrics (X and Y) using two machines (A and B). Each unit of X that is produced requires 60 minutes processing time on machine A and 40 minutes processing time on machine B. Each unit of Y that is produced requires 36 minutes processing time on machine A and 44 minutes processing time on machine B. Available processing time in a week on machine A is forecasted to be 60 hours and on machine B is forecasted to be 45 hours. Profits for each unit of X is 15 dollars and each unit of Y is 25 dollars. Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program graphically

A company makes two fabrics (X and Y) using two machines (A and B). Each unit of X that is produced requires 60 minutes processing time on machine A and 40 minutes processing time on machine B. Each unit of Y that is produced requires 36 minutes processing time on machine A and 44 minutes processing time on machine B. Available processing time in a week on machine A is forecasted to be 60 hours and on machine B is forecasted to be 45 hours. Profits for each unit of X is 15 dollars and each unit of Y is 25 dollars. Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program graphically

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 58P
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A company makes two fabrics (X and Y) using two machines (A and B). Each unit of X that is produced requires 60 minutes processing time on machine A and 40 minutes processing time on machine B. Each unit of Y that is produced requires 36 minutes processing time on machine A and 44 minutes processing time on machine B. Available processing time in a week on machine A is forecasted to be 60 hours and on machine B is forecasted to be 45 hours. Profits for each unit of X is 15 dollars and each unit of Y is 25 dollars. Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program graphically and mathematically.

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ISBN:
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