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 6,370 and 10,000. The time requirements and profit per unit for each product are listed below.

ABC

Machine I 5 8 9

Machine II 10 10 14

Profit $8 $11 $13

How many units of each product should be manufactured to maximize profit, and whatis the maximum profit?

Start by setting up the linear programming problem, withA, B,andCrepresenting the number of units of each product that are produced.

MaximizeP=

P=

subject to:

6,370

10,000

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 productA

units of productB

units of productC