North York Warehouse & Manufacturing, Inc. produces two types of product, Product A and Product B. The unit profit margins for the two products are $12 and $20. The products could be manufactured using machine 1 or machine 2 or both. The per-unit production requirements for each product on each machine are given in the following table. If the company decides to use machine 1, it will incur a setup cost of $200 and the setup will take 48 hours. If the company decides to use machine 2, it will incur a setup cost of $160 and the setup will take 36 hours. The company wants to produce no more than 200 and no less than 50 units of product A. Furthermore, the company wants to produce no more than 300 and no less than 150 units of product B. The company wants to determine which of the two machines should be utilized and how many units of each product should be produced on each machine in order to maximize profit. Machine Product A Product B Total Hours Available 1 8 hours 12 hours 4,000 hours 2 6 hours 8 hours 3,000 hours