A factory manufactures three products, A, B, and C. Each product a certain number of hours of assembly and painting. There are 7,060 total hours of assembly and 7,340 total hours of painting available. The time requirements and profit per unit for each product are listed below.
| Product | Assembly (hours) |
Painting (hours) |
Profit ($) |
| A | 6 | 6 | $9 |
| B | 9 | 8 | $15 |
| C | 11 | 13 | $20 |
How many units of each product should be manufactured to maximize profit, and what is the maximum profit?
Set up the objective function and constraints for the linear programming problem. You do not need to solve the problem.
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