Please explain (show your work) for each calculation.

1. (20 points) A new hot dog stand has opened on campus, Trojan Dogs, and the owner comes to you for help with analyzing the operational process. For simplicity we will assume each order is the same and contains only 1 hotdog. - For each order, it takes 2 minutes for a cashier to accept the payment, - 3 minutes for a cook to make the hot dog and 1 minute assemble it, - Finally, 2 minutes for a worker to wrap the hotdog for the customer. Currently, Trojan Dogs has 2 cashiers for taking orders, 4 cooks for making the hotdogs, and 1 worker for wrapping the hotdogs. a. (5 pts) What is the process capacity of Trojan Dogs? 30 hotdogs /hr b. ( 2 pts) If the demand rate is 15 orders/hour, what is the utilization rate of the 4 cooks? 25% c. (5 pts) If the 4 cooks and the worker who wraps the hotdog are cross trained, what will be the new process capacity? 50 hotdogs/hr d. (6 pts) (Ignore part C regarding cross training) Based on a new food safety regulation, the stand needs to be closed and cleaned for 15 minutes after every 2 hours. After taking this into account, what is the process capacity for Trojan Dogs? 26.67 hotdog/hr