PLEASE DO PART E ONLY, THAT'S ALL I NEED

14. (15 pts in total) A company produces product A and product B. Each product must go through two processes. Each A produced requires six hours in process 1 and three hours in process 2. Each B produced requires two hours in process 1 and five hours in process 2. There are 80 hours of capacity available each week in each process. Each A produced generates $9.00 in profit for the company. Each B produced generates $6.00 in profit for the company. How many units should this company produce for product A and product B to maximize profit? a. Formulate the problem (5pts). Please be specific about all decision variables. [Hint] Process 1 Process 2 Profit Product A Product B b. Draw the graph. Specify all the points on the two axes (2pts, 1 for each axis), extreme corner points and the constraints, and identify the common feasible space clearly (4pts). b. Solve the problem (show your steps). What is the optimal solution and what is the profit? (4 pts). e. (continued from all above part a. d; 4pts) If on average each customer is willing to spend at most 6 minutes at the stand, and each customer purchases $4.25. The time spent on waiting and number of customer when there are two servers are given below. What is the maximum hourly rate the manager can pay to the current server and new hire? [Both have the same hourly pay.] Impact Original (i.e., One server) Hire one additional server 2.04 minutes Time spent on waiting (Your response in part a) (Your response in part b) 0.95 Number of customers in the system [hint: no lost sales] Total cost (Hint: staffing cost + lost sales if any) (bonus points:1pt each) 1. Name one of the supply chain management professional institutions discussed in the first class that offers certificate(s). 2. The algorithm we used for solving LP problems in Excel is