A company produces three products that must be painted, assembled, and inspected. The machinery must be cleaned and adjusted before each batch is produced. They want to maximize their profits for the amount of operating time they have. The unit profit and setup cost per batch are:

Product 1 2 3

Profit per unit 9 10 12

Setup cost per batch 500 600 650

The operation time per unit and total operating hours available are:

Operating Time per Unit

Operation Product 1 Product 2 Product 3 Operating Hours Available

Plant 1 2 2 400

Assemble 2 3 2 600

Inspection 2 4 3 540

Formulate and solve an LP model for this problem with Solver.