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A fast-food franchise is considering operating a drive-through service.Assume that customer arrivals follow a Poisson probability distribution with an arrival rate of 25 cars per hours, and that...

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A fast-food franchise is considering operating a drive-through service.Assume that customer arrivals follow a Poisson probability distribution with an arrival rate of 25 cars per hours, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders.The following three service alternatives are being considered:a. A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.b. A single server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.5 minutes.c. A two-server operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from customers. The average service time for this alternative is 2 minutes per server. Customer waiting time is valued at $30 per hour and the cost of each employee is $15 per hour.What is the lowest-cost design for the fast-food franchise?
Answered Same Day Oct 26, 2019

Solution

David answered on Dec 27 2019
135 Votes
Q: - A fast-food franchise is considering operating a drive-through service. Assume that customer a
ivals follow a Poisson probability distribution with an a
ival rate of 25 cars per hours, and that service times follow an exponential probability distribution. A
iving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered:
a. A single-server operation in which one employee fills the order and takes the money from the customer. The average service time for this alternative is 2 minutes.
. A single server operation in which one employee fills the order while a second employee takes the money from the customer. The average service time for this alternative is 1.5 minutes.
c. A two-server operation with two service windows and two employees. The employee stationed at each window fills the order and takes the money from customers. The average service time for this alternative is 2 minutes per server.
Customer waiting time is valued at $30 per hour and the cost of each employee is $15 per hour. What is the lowest-cost design for the fast-food...
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