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 7,050 and 7,720. The time requirements and profit per unit for each product are listed below. | | A | B | C | |---|---|---|---| | Machine I | 5 | 7 | 12 | | Machine II | 6 | 6 | 14 | | Profit | $9 | $14 | $19 | 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: [ ] ? 7,050 [ ] ? 7,720 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 7,050 and 7,720. The time requirements and profit per unit for each product are listed below.

| | A | B | C |
|---|---|---|---|
| Machine I | 5 | 7 | 12 |
| Machine II | 6 | 6 | 14 |
| Profit | $9 | $14 | $19 |

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:

[ ] ? 7,050
[ ] ? 7,720

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 7,050 and 7,720. The time requirements and profit per unit for each product are listed below.

| | A | B | C |
|—|—|—|—|
| Machine I | 5 | 7 | 12 |
| Machine II | 6 | 6 | 14 |
| Profit | 9 |14 | 19 |

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:

[ ] ? 7,050
[ ] ? 7,720

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 George R.

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