Question

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 6,320 and 6,280. The time requirements and profit per unit for each product are listed below. | | A | B | C | |---|---|---|---| | Machine I | 6 | 8 | 10 | | Machine II | 6 | 6 | 12 | | Profit | $8 | $13 | $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 = subject to: ? 6,320 ? 6,280 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 6,320 and 6,280. The time requirements and profit per unit for each product are listed below.

| | A | B | C |
|---|---|---|---|
| Machine I | 6 | 8 | 10 |
| Machine II | 6 | 6 | 12 |
| Profit | $8 | $13 | $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 =
subject to:
? 6,320
? 6,280

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 6,320 and 6,280. The time requirements and profit per unit for each product are listed below.

| | A | B | C |
|—|—|—|—|
| Machine I | 6 | 8 | 10 |
| Machine II | 6 | 6 | 12 |
| Profit | 8 |13 | 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 =
subject to:
? 6,320
? 6,280

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

Added by Peter S.

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