NEED PART E ONLY PLEASE

I HAVE a -d answers just need E

15 (22 pts in total). Consider an espresso stand with a single barista. Customers arrive to the stand at the rate of 28 per hour. Service rate is 35 customers per hour. On average, each customer purchase $4.25. a. (3pts) On average, how many minutes will a customer spend waiting in line? b. (3pts) On average, how many customers are in the system? c. (5pts) If the arrival rate remains at 28 customers per hour and the stand's manager wants to have the average time a customer spends in the system to be a maximum of 6 minutes on average. How many more customers does the stand need to serve per hour compared to now? d. (7pts) If the stand's manager hires one more server, and both servers can each serve 35 customers per hour. What is the probability that a customer can get service as soon as s/he goes to the stand? (Hint: multiple server) 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