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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