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Solve the following linear programming problem: A carpenter wants to take advantage of the availability of 3 machines in his company to produce as many doors and windows as possible per week. Machine A has 4 hours available, machine B has 12 hours, and machine C has 18 hours. On the other hand, you know that to produce a door it takes 1 hour on machine A and 3 hours on machine C, similarly, to produce a window it takes 2 hours on both machine B and C. The sales manager says that he can sell all the doors and windows produced at a profit of $300 per door and $500 per window. The carpenter wants to know how many doors and how many windows he can and should produce to obtain the maximum level of profit

Solve the following linear programming problem: A carpenter wants to take advantage of the availability of 3 machines in his company to produce as many doors and windows as possible per week. Machine A has 4 hours available, machine B has 12 hours, and machine C has 18 hours. On the other hand, you know that to produce a door it takes 1 hour on machine A and 3 hours on machine C, similarly, to produce a window it takes 2 hours on both machine B and C. The sales manager says that he can sell all the doors and windows produced at a profit of $300 per door and $500 per window. The carpenter wants to know how many doors and how many windows he can and should produce to obtain the maximum level of profit

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 79P
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Solve the following linear programming problem:
A carpenter wants to take advantage of the availability of 3 machines in his company to produce as many doors and windows as possible per week. Machine A has 4 hours available, machine B has 12 hours, and machine C has 18 hours.
On the other hand, you know that to produce a door it takes 1 hour on machine A and 3 hours on machine C, similarly, to produce a window it takes 2 hours on both machine B and C.
The sales manager says that he can sell all the doors and windows produced at a profit of $300 per door and $500 per window.
The carpenter wants to know how many doors and how many windows he can and should produce to obtain the maximum level of profit.

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