Solve the problem using Linear programming model formulations, slack variables, and graphical solutions to determine the optimal product mix that will maximize profit. A company produces two products,A and B, which have profits of 9.00 in product A and 7.00 in product B. Each unit of product must be processed on two assembly lines, where the required production times are as follows Hours/unit Product Line 1 Line 2 A 12 4 B 4 8 Total Hours 60 40 What would be the effect on the optimal solution if the profit for product B was increased from 7.00 to 15.00? Solve with graphical solutions. What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours? Solve with graphical solutions.
Solve the problem using Linear programming model formulations, slack variables, and graphical solutions to determine the optimal product mix that will maximize profit. A company produces two products,A and B, which have profits of 9.00 in product A and 7.00 in product B. Each unit of product must be processed on two assembly lines, where the required production times are as follows Hours/unit Product Line 1 Line 2 A 12 4 B 4 8 Total Hours 60 40 What would be the effect on the optimal solution if the profit for product B was increased from 7.00 to 15.00? Solve with graphical solutions. What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours? Solve with graphical solutions.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 80P
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Solve the problem using Linear programming model formulations, slack variables, and graphical solutions to determine the optimal product mix that will maximize profit.
A company produces two products,A and B, which have profits of 9.00 in product A and 7.00 in product B. Each unit of product must be processed on two assembly lines, where the required production times are as follows
Hours/unit
Product
Line 1
Line 2
A
12
4
B
4
8
Total Hours
60
40
What would be the effect on the optimal solution if the profit for product B was increased from 7.00 to 15.00? Solve with graphical solutions.
What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours? Solve with graphical solutions.
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