Problem:
Linear Programming
Set up the objective function and constraints and then solve for the following:
A company makes a single product on two separate production lines, A and B. The company's labor force is equivalent to 1,000 hours per week, and it has $3,000 outlay weekly for operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item on A is $5 and on B is $4. How many items should be produced on each line to maximize the total output?