Machine type | Available time (in machine hours per week) |
---|---|
Milling machine | 500 |
Lathe | 350 |
Grinder | 150 |
The number of machine hours required for each unit of the respective products is
Machine type | Product 1 | Product 2 | Product 3 |
---|---|---|---|
Milling machine | 9 | 3 | 5 |
Lathe | 5 | 4 | 0 |
Grinder | 3 | 0 | 2 |
The sales department indicates that the sales potential for products 1 and 2 exceeds the maximum production rate and that the sales potential for product 3 is 20 units per week. The unit profit would be $30, $12, and $15, respectively, on products 1, 2, and 3. The objective is to determine how much of each product the firm should produce to maximize profit.
Formulate the linear programming model for this problem.