$(25$ points$)$ Tailgaite company offers delivery services of food and beverages that are popular among football

fans. Customers request the delivery service via an app, on average, with an interarrival time of $7$ minutes with

a coefficient of variation of $1.$ After receiving the request, the app contacts an available delivery driver, who

immediately proceeds to pick up the food, and delivers the food$/$beverages to the customer. A delivery driver

takes, on average, $25$ minutes for picking up the order and taking it to the customer $($the coefficient of variation

of this time is also $1).$ Currently, the delivery service has $10$ drivers.

a$.(8$ points$)$ How many delivery drivers are, on average, available to satisfy a new request?

b$.(8$ points$)$ How much time does it take, on average, from the moment a customer requests the driver to the

moment the customer receives their order?

For the next two questions, consider the following scenario. During the rival football game day, the number

of requests for delivery services increases to every $4$ minutes. The coefficient of variation of interarrival time

remains at $1.$ The delivery company hired $5$ extra drivers in addition to the existing $10.$

c$.(5$ points$)$ What is the new customer wait time and how does this impact the customer?

d$.(4$ points$)$ On average, for every hour, how many minutes would the delivery driver be actively working?