Problem 5 (10 marks). An operations manager is trying to determine a production plan for the next week. There are three products (say, P,Q, and Q) to produce using four machines (say, A and B, C, and D). Each of the four machines performs a unique process. There is one machine of each type, and each machine is available for 2,400 minutes per week. The unit processing times for each machine is given below: The unit revenues and maximum sales for the week are indicated in the following table: 4 Storage from one week to the next is not permitted. The operating expenses associated with the plant are $6,000 per week, regardless of how many components and products are made. The $6,000 includes all expenses except for material costs. The operations management wants to find the best product mix. Help him/her formulate the problem as a mathematical program