Question

A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution, with an arrival rate of 24 cars per hour, 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:

System 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.

System 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 1.25 minutes.

System 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 for customers arriving at the window. The average service time for this alternative is 2 minutes for each server.

The following cost information is available.

- Customer waiting time is valued at $25 per hour to reflect the fact that waiting time is costly to the fast-food business.
- The cost of each employee is $6.50 per hour.
- To account for equipment and space, an additional cost of $20 per hour is attributable to each server.

What is the lowest-cost design for the fast-food business? If required, round your answers to two decimal places.

Total Cost | |
---|---|

System A | $ ____ |

System B | $ ____ |

System C | $ ____ |

System ______ is the most economical.

Answer #1

**Solution:**

A fast-food franchise is considering operating a drive-up window
food-service operation. Assume that customer arrivals follow a
Poisson probability distribution, with an arrival rate of 25 cars
per hour, 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
service alternative is being considered:
System C: A two-server operation with...

Question 2
A fast-food franchise is considering
operating a drive-up window food-service operation. Assume that
customer arrivals follow a Poisson probability distribution, with
an arrival rate of 24 cars per hour, 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 single-channel operation...

28. You are the manager of a restaurant for a fast-food
franchise. Last month, the mean waiting time at the drive-through
window for branches in your geographical region, as measured from
the time a customer places an order until the time the customer
receives the order, was 3.8 minutes. You select a random sample of
81 orders. The sample mean waiting time is 3.99 minutes, with a
sample standard deviation of 0.9 minute.
At the 0.10 level of significance, is...

You are the manager of a restaurant for a fast-food franchise.
Last month, the mean waiting time at the drive-through window for
branches in your geographical region, as measured from the time a
customer places an order until the time the customer receives the
order, was 3.7 minutes. You select a random sample of 81 orders.
The sample mean waiting time is 3.41 minutes, with a sample
standard deviation of 0.9 minute. At the 0.01 level of
significance, is there...

You are the manager of a restaurant for a fast-food franchise.
Last month, the mean waiting time at the drive-through window for
branches in your geographical region, as measured from the time a
customer places an order until the time the customer receives the
order, was
3.7 minutes. You select a random sample of 64 orders. The sample
mean waiting time is 3.41 minutes, with a sample standard
deviation of 0.8 minute.
Find the p-value.
p-value= ( )
(Round to...

You are the manager of a restaurant for a fast-food franchise.
Last month, the mean waiting time at the drive- through window for
branches in your geographical region, as measured from the time a
customer places an order until the time the customer receives the
order, was 3.7 minutes. You select a random sample of 64 orders.
The sample mean waiting time is 3.57 minutes, with a sample
standard deviation of 0.8 minute.
1- At a 95% confidence level, is...

1. Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 6 customers
per hour or 0.1 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 54 customers per hour, or 0.9
customers per minute. Determine the...

28. You are the manager of a restaurant for a fast-food
franchise. Last month, the mean waiting time at the drive-through
window for branches in your geographical region, as measured from
the time a customer places an order until the time the customer
receives the order, was 3.7 minutes. You select a random sample of
81 orders. The sample mean waiting time is 3.86 minutes, with a
sample standard deviation of 0.9 minute. Complete parts (a) and
(b) below.
a....

A manager of a fast food restaurant wants the drive-thru
employee to ask every fifth customer if he or she is satisfied with
the service. Who makes up the population?
A.
All survey respondents
B.
The proportion of customers who say they are satisfied with
their service
C.
All customers who use the drive-thru window of this fast food
restaurant
D.
All customers of this restaurant

To encourage efficiency at a drive through window, a fast food
restaurant chain specifies, as a guideline, that at least half of
all drive through orders should be taken, prepared, and delivered
in 3 minutes or less. Subsequently, a random sample of 64 drive
through orders was taken and it was found that 24 of them were
taken, prepared and delivered in 3 minutes or less. The remaining
orders from the sample took longer than 3 minutes. The fast food...

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