A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 6,000 and 9,170. The time requirements and profit per unit for each product are listed below. A B C Machine I 5 8 7 Machine II 9 7 14 Profit $9 $11 $16 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P=P= subject to: ≤ 6,000 ≤ 9,170 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product C
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 6,000 and 9,170. The time requirements and profit per unit for each product are listed below.
| A | B | C | |
| Machine I | 5 | 8 | 7 |
| Machine II | 9 | 7 | 14 |
| Profit | $9 | $11 | $16 |
How many units of each product should be manufactured to maximize profit, and what is the maximum profit?
Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced.
Maximize P=P=
subject to:
≤ 6,000
≤ 9,170
Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places.
The maximum profit is $ when the company produces:
units of product A
units of product B
units of product C
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