— minimum of four pages including a cover page with all necessary info (you MUST specify clearly the Case Problem # and titles so your instructor can identify them for grading) for the final project with a reference page.
— The main body should clearly address all questions asked in the managerial report of the two case# 1 problems you chose.
Book Title: eTextbook: An Introduction to Management Science: Quantitative Approaches to Decision Making Chapter 4. Linear Programming Applications in Marketing, Finance, and Operations Management Case Problem 1. Planning an Advertising Campaign
Case Problem 1. Planning an Advertising Campaign
The Flamingo Grill is an upscale restaurant located in St. Petersburg, Florida. To
help plan an advertising campaign for the coming season, Flamingo’s
management team hired the advertising firm of Haskell & Johnson (HJ). The
management team requested HJ’s recommendation concerning how the
advertising budget should be distributed across television, radio, and online
advertisements. The budget has been set at $279,000.
In a meeting with Flamingo’s management team, HJ consultants provided the
following information about the industry exposure effectiveness rating per ad,
their estimate of the number of potential new customers reached per ad, and the
cost for each ad:
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Advertising
Media
Exposure
Rating per Ad
New
Customers per
Ad
Cost per Ad
Television 90 4,000 $10,000
Radio 25 2,000 $ 3,000
The exposure rating is viewed as a measure of the value of the ad to both
existing customers and potential new customers. It is a function of such things
as image, message recall, visual and audio appeal, and so on. As expected, the
more expensive television advertisement has the highest exposure effectiveness
rating along with the greatest potential for reaching new customers.
At this point, the HJ consultants pointed out that the data concerning exposure
and reach were only applicable to the first few ads in each medium. For
television, HJ stated that the exposure rating of 90 and the 4000 new customers
reached per ad were reliable for the first 10 television ads. After 10 ads, the
benefit is expected to decline. For planning purposes, HJ recommended reducing
the exposure rating to 55 and the estimate of the potential new customers
reached to 1500 for any television ads beyond 10. For radio ads, the preceding
data are reliable up to a maximum of 15 ads. Beyond 15 ads, the exposure rating
declines to 20 and the number of new customers reached declines to 1200 per
ad. Similarly, for online ads, the preceding data are reliable up to a maximum of
20; the exposure rating declines to 5 and the potential number of new customers
reached declines to 800 for additional ads.
Flamingo’s management team accepted maximizing the total exposure rating,
across all media, as the objective of the advertising campaign. Because of
management’s concern with attracting new customers, management stated that
the advertising campaign must reach at least 100,000 new customers. To balance
Advertising
Media
Exposure
Rating per Ad
New
Customers per
Ad
Cost per Ad
Online 10 1,000 $ 1,000
the advertising campaign and make use of all advertising media, Flamingo’s
management team also adopted the following guidelines:
Use at least twice as many radio advertisements as television
advertisements.
Use no more than 20 television advertisements.
The television budget should be at least $140,000.
The radio advertising budget is restricted to a maximum of $99,000.
The online budget is to be at least $30,000.
HJ agreed to work with these guidelines and provide a recommendation as to
how the $279,000 advertising budget should be allocated among television,
radio, and online advertising.
Managerial Report
Develop a model that can be used to determine the advertising budget allocation
for the Flamingo Grill. Include a discussion of the following in your report:
1. A schedule showing the recommended number of television, radio, and
online advertisements and the budget allocation for each medium. Show
the total exposure and indicate the total number of potential new
customers reached.
2. How would the total exposure change if an additional $10,000 were
added to the advertising budget?
3. A discussion of the ranges for the objective function coefficients. What do
the ranges indicate about how sensitive the recommended solution is to
HJ’s exposure rating coefficients?
205
4. After reviewing HJ’s recommendation, the Flamingo’s management team
asked how the recommendation would change if the objective of the
advertising campaign was to maximize the number of potential new
customers reached. Develop the media schedule under this objective.
5. Compare the recommendations from parts 1 and 4. What is your
recommendation for the Flamingo Grill’s advertising campaign?
,
Book Title: eTextbook: An Introduction to Management Science: Quantitative Approaches to Decision Making Chapter 10. Inventory Models Case Problem 1. Wagner Fabricating Company
Case Problem 1. Wagner Fabricating Company
Managers at Wagner Fabricating Company are reviewing the economic
feasibility of manufacturing a part that the company currently purchases from a
supplier. Forecasted annual demand for the part is 3200 units. Wagner operates
250 days per year.
Wagner’s financial analysts established a cost of capital of 14% for the use of
funds for investments within the company. In addition, over the past year
$600,000 was the average investment in the company’s inventory. Accounting
information shows that a total of $24,000 was spent on taxes and insurance
related to the company’s inventory. In addition, an estimated $9000 was lost due
to inventory shrinkage, which included damaged goods as well as pilferage. A
remaining $15,000 was spent on warehouse overhead, including utility expenses
for heating and lighting.
An analysis of the purchasing operation shows that approximately two hours
are required to process and coordinate an order for the part regardless of the
quantity ordered. Purchasing salaries average $28 per hour, including employee
benefits. In addition, a detailed analysis of 125 orders showed that $2375 was
spent on telephone, paper, and postage directly related to the ordering process.
A one-week lead time is required to obtain the part from the supplier. An
analysis of demand during the lead time shows it is approximately normally
distributed with a mean of 64 units and a standard deviation of 10 units. Service-
level guidelines indicate that one stock-out per year is acceptable.
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Currently, the company has a contract to purchase the part from a supplier at a
cost of $18 per unit. However, over the past few months, the company’s
production capacity has been expanded. As a result, excess capacity is now
available in certain production departments, and the company is considering
the alternative of producing the parts itself.
Forecasted utilization of equipment shows that production capacity will be
available for the part being considered. The production capacity is available at
the rate of 1000 units per month, with up to five months of production time
available. Management believes that with a two-week lead time, schedules can
be arranged so that the part can be produced whenever needed. The demand
during the two-week lead time is approximately normally distributed, with a
mean of 128 units and a standard deviation of 20 units. Production costs are
expected to be $17 per part.
A concern of management is that setup costs will be substantial. The total cost of
labor and lost production time is estimated to be $50 per hour, and a full eight-
hour shift will be needed to set up the equipment for producing the part.
Managerial Report
Develop a report for management of Wagner Fabricating that will address the
question of whether the company should continue to purchase the part from the
supplier or begin to produce the part itself. Include the following factors in your
report:
1. An analysis of the holding costs, including the appropriate annual
holding cost rate
2. An analysis of ordering costs, including the appropriate cost per order
from the supplier
3. An analysis of setup costs for the production operation
4. A development of the inventory policy for the following two alternatives:
a. Ordering a fixed quantity Q from the supplier
b. Ordering a fixed quantity Q from in-plant production
5. Include the following in the policies of parts 4(a) and 4(b):
a. Optimal quantity Q*
b. Number of order or production runs per year
c. Cycle time
d. Reorder point
e. Amount of safety stock
f. Expected maximum inventory
g. Average inventory
h. Annual holding cost
i. Annual ordering cost
j. Annual cost of the units purchased or manufactured
k. Total annual cost of the purchase policy and the total annual cost
of the production policy
6. Make a recommendation as to whether the company should purchase or
manufacture the part. What savings are associated with your
recommendation as compared with the other alternative?
503
