Formulate but do not solve the following exercise as a linear programming problem. A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 5 labor-hours. In a certain week, the company has 2800 board feet of wood available and 500 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0
Formulate but do not solve the following exercise as a linear programming problem.
A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 5 labor-hours. In a certain week, the company has 2800 board feet of wood available and 500 labor-hours.
If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars?
| Maximize | P | = |
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subject to the constraints | |
| board feet |
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| labor-hours |
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| x ≥ 0 | |||||
| y ≥ 0 |
Given:
The company manufactures x dining tables and y chairs.
Each table requires 40 board feet of wood and 2 labor hours.
Each chair requires 16 board feet of wood and 5 labor hours.
In a certain week, the company has 2800 board feet of wood available and 500 labor hours.
The profit for each table is $50 and the profit for each chair is $18.
To Do:
We have to formulate the linear programming problem.
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