In: Statistics and Probability

A restaurant that has a limited capacity of 30 people. The restaurant has an entrance fee of $5/person. People arrive at this restaurant at a rate of 4/hour. The time each person spends in the restaurant follows an exponential distribution with rate ?. Suppose it costs 3? per hour for this restaurant to provide service to the customers. Find ? that maximizes the benefit of this restaurant.

A neighborhood restaurant opens for lunch only and has a menu
limited to five meals. The history of each menu item relative to
its percentage of total sales, selling price (SP), and variable
costs (VC) are shown in the following table: Menu Item SP VC SR%
Food 1 $15.00 $7.75 16% Food 2 12.95 7.50 20 Food 3 11.00 5.50 22
Food 4 8.95 2.85 14 Food 5 9.95 6.50 8 Total variable cost of
beverages averages 55 percent. The...

When a company has a limited resource, it should apply
additional capacity of that resource to providing more units of the
product or service that has the:
Select one:
a. highest contribution margin per unit of that limited
resource.
b. highest gross proﬁt.
c. highest contribution margin.
d. highest selling price.
XYZ Company manufactures ultra sound equipment. Based on past
experience, XYZ has found that total annual repair and maintenance
cost can be represented by the following formula: total annual...

a) Ghana Agro Food Processing Company Limited has
spare capacity to process poultry feed and
is considering offering a service to the Greater Accra Poultry
Farmers Association. To aid
deliberations concerned with what rate should be quoted when
offering the service, the Poultry
Manager has asked for your assistance in analysing the Poultry
department’s fixed and variable
costs.
From her departmental records, the poultry manager has extracted
the following schedule of
cost information.
Month poultry
costs
Metric tons (MT) of...

The entrance of a rehabilitation center is at the elevation of
1.0 m and has a wheelchair ramp that is inclined 30 degrees
relative to the horizontal. The mass of an average patient and the
accompanying wheelchair is 110 kg, and the coefficient of static
friction μs between the wheelchair wheels and the ramp is 0.60.
Each wheel of the wheelchair has a mass of 3.0 kg and a radius of
0.40 m and can be modeled as a hoop...

restaurant has 5 tables available. People arrive at times of a
Poisson process with rate of 6 per hour. The amount of time for a
person to eat has an exponential distribution with a mean of 30
minutes. People who arrive when all 5 tables are full turn around
and leave without eating at the restaurant. In the long run, what
fraction of time is the restaurant full?

“Legislation is drawn up by draftsmen, and a draftsman’s
capacity to anticipate the future is limited. He may not foresee
some future possibility, or overlook a possible misinterpretation
of the original intentions of the legislation.” Considering the
above statement, discuss the rules of Statutory Interpretation.
(1500 words)

2.a For McDonalds - What determine capacity levels at a fast
food restaurant such as McDonalds? In the long term (5 to 10
years), what are the capacity issues facing a fast food restaurant
such as McDonalds?

The amount people pay for electric service varies quite a bit,
but the mean monthly fee is $168 and the standard deviation is $34.
The distribution is not Normal. Many people pay about $90 in rural
areas of the country and about $150 in urban areas of the country,
but some pay much more. A sample survey is designed to ask a simple
random sample of 1,200 people how much they pay for electric
services. Let x̄ be the mean...

Gino’s Restaurant is a popular restaurant in Boston,
Massachusetts. The owner of the restaurant has been trying to
better understand costs at the restaurant and has hired a student
intern to conduct an activity-based costing study. The intern, in
consultation with the owner, identified the following major
activities:
Activity Cost Pool
Activity Measure
Serving a party of diners
Number of parties served
Serving a diner
Number of diners served
Serving drinks
Number of drinks ordered
A group of diners who...

Gino’s Restaurant is a popular restaurant in Boston,
Massachusetts. The owner of the restaurant has been trying to
better understand costs at the restaurant and has hired a student
intern to conduct an activity-based costing study. The intern, in
consultation with the owner, identified the following major
activities:
Activity Cost Pool
Activity Measure
Serving a party of diners
Number of parties served
Serving a diner
Number of diners served
Serving drinks
Number of drinks ordered
A group of diners who...

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