Question
A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three
A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for departments I, II, and III is 930, 1600, and 800, respectively. The time requirements (in hours per unit) and profit per unit for each product are given in the table below. How many units of each product should the company produce in order to maximize its profit, P?
Product A | Product B | Product C | |
---|---|---|---|
Dept. I | 2 | 1 | 2 |
Dept. II | 3 | 1 | 2 |
Dept. III | 2 | 2 | 1 |
Profit | $20 | $11 | $15 |
1---Select---Maximize Minimize P | = | subject to the constraints |
department I | |
department II | |
department III | |
x ≥ 0 | |
y ≥ 0 | |
z ≥ 0 |
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