1. A company sells its products for $8.50. It has variable costs of $2.50, and fixed costs
total $250,000. What must its dollar sales be to break even? How many units must it
sell to earn a 20% return on its investment of $100,000?
Answer:
fixed costs $250,000
The difference between the two calculations for breakeven sales is due to
rounding.
2. Determine the market potential for a product that has 8 million prospective buyers
who purchase an average of 2 per year and price averages $50.
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Answer:
Q = n q p
where
3. Smithsborough, Inc. had the following profit and loss statement for the year ending
2009:
Sales $50,000,000
Cost of goods sold 10,000,000
Gross Margin $40,000,000
Marketing Expenses
Sales expenses $10,000,000
Promotion expenses 4,000,000 14,000,000
General and Administrative Expenses
Managerial salaries and expenses for the
marketing function $1,000,000
Indirect overhead 6,000,000 7,000,000
Net profit before income tax $19,000,000
Determine the following ratios:
a. gross margin percentage
b. net profit percentage
c. operating expense percentage
d. net marketing contribution
e. marketing return on sales (marketing ROS)
f. marketing return on investment (marketing ROI)
g. Is Smithsborough doing well? Explain your answer.
Answer:
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d.) NMC = net sales cost of goods sold marketing expenses
g.) Students’ responses will vary on this question, but most students will agree that
4. Given the following cost structure, calculate 1Blendco, Inc.’s breakeven dollar sales:
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Cost of goods sold equal to 50% of sales
Sales salaries totaling $1,000,000 plus 10% commission on each sale
Advertising expenditures of $500,000
Freight expenses equal 10% of sales
Marketing staff costs equal $250,000 per year
Indirect overhead equals $600,000
Answer:
Breakeven sales can be determined by:
5. Drake,2 Inc. manufactures electric welders that it sells to other manufacturers, and
sales last year were $45 million. Drake has a 35% contribution margin. The
marketing manager has suggested increasing the number of sales representatives by
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five, which would cause fixed costs to increase by $250,000. Another suggestion is
to reduce price by 10%.
a. What incremental dollar volume would be necessary to break even on the
suggestion to hire five additional sales reps?
b. What absolute increase in dollar sales volume would be necessary to
maintain Drake’s current contribution if price was reduced by 10%?
c. Which suggestion do you think Drake should implement? Explain your
recommendation.
Answer:
a.) Add five sales representatives:
b.) Decrease price by 10%:
We must determine the current total contribution with sales of $45 million and the new
contribution margin after price is reduced by 10%.
Therefore,
Old New (reduced 10% )
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So,
c.) Students’ recommendations will vary. However, it appears that the suggestion to
6. Artco sells framed artwork in approximately 5,000 home decorating stores. Sales
representatives call on each store 5 times per year. The average length of a sales call
is one hour. While an average salesperson works 2,000 hours per year (i.e., 50 weeks
per year 40 hours per week), each spends ten hours a week on nonselling activities,
such as administrative tasks and travel. How many sales people does Artco need?
Answer:
The number of salespeople can be determined by using the workload method:
where,
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7. Avian Electronics, Inc. 3manufactures a model of portable music players that can play
music downloaded from the Internet. It is considering adding a more advanced model
of the product that can also download and play video files as well as music files.
Avian’s variable costs and prices to wholesalers are:
Current Audio model New Audio/Video model
Unit selling price $150.00 $250.00
Unit variable costs $60.00 $120.00
The company expects to sell 2 million units of the new audio/video model in the
first year after introduction, but it expects that half of those sales will come from
buyers who would have purchased Avian’s current audio model. Avian estimates
that it would sell 2.5 million units of the current audio model if it did not
introduce the audio/video model. If the fixed cost of launching the new
audio/video model will be $800,000 during the first year, should Avian add the
new model? Why or why not?
Answer:
This is a cannibalization problem. To analyze this problem, we need to determine unit
contributions:
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No further calculations are necessary because the gain in contribution due to
Audio model only Audio and Audio/Video models
8. 4Perfam is a manufacturer of fragrances for women. It currently sells two brands, one
called Allure, which is sold to wholesalers for $40, and another called Beauty, which
is sold to wholesalers for $20. It is considering adding a mid-priced brand called
Classy for $30. Perfam’s variable costs and prices to wholesalers for six ounce
bottles are:
Allure Beauty Classy (new brand)
Unit selling price $40.00 $20.00 $30.00
Unit variable
costs
$20.00 $10.00 $15.00
Perfam expects to sell 10,000 bottles of the new Classy brand, but 5,000 of those sales
will be cannibalized from Allure and 1,000 will be cannibalized from Beauty. Before
Perfam considered the new brand, it had expected to sell 11,000 bottles of Allure and
10,000 bottles of Beauty. Should Perfam launch the new Classy brand?
Answer:
This is a cannibalization problem. To analyze this problem, we need to determine unit
contributions for each brand:
However, it is estimated that Classy will generate an additional 4,000 bottle sales.
Thus,
Contribution due to net new volume = 4,000 bottles $15 per unit = $60,000
Assuming no increases in fixed costs, Perfam should launch this new brand.
Another way to see is to compare Perfam’s total contribution with and without the
introduction of the new product:
Allure and Beauty only All three brands
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