A manufacturing system is shown below. You have four operators; one is trained to do each of the functions A, B, C and D. There are 1800 minutes available in a week for each operator. You are the manager responsible for the area and you can sell as many of Product X (up to 50) and Product Y (up to 100) that you can manufacture in a week. Fixed costs for the week are 4000. What is the product mix to generate the maximum profit? (Answer: 50 units of X and 52 units of Y) Product X Product Y 90/Unit 50 U/week 100/Unit 100 U/week Machine D 15 min./Unit Machine D 5 min./Unit Machine C 15 min./Unit Machine C5 min./Unit Machine B 20min./Unit Machine A 15 min./U Machine B 15 min./U Machine A 10 min./U Raw Material 15/Unit Raw Material 20 Unit Raw Material 30/Unit