Question: Set up the objective function & constraints & then solve for the following:

A company makes a single product on two separate production lines, A & B. The company’s labor force is equivalent to 1,000 hours per week, & it has $3,000 outlay weekly for operating costs. It takes 1 hour & 4 hours to produce a single item on lines A & B, respectively. The cost of producing a single item on A is $5 & on B is $4. How many items should be produced on each line to maximize the total output?