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Exercise 12A-7 Customer Latitude and Pricing [LO12-9] The postal service of St. Vincent, an island in...

Exercise 12A-7 Customer Latitude and Pricing [LO12-9]

The postal service of St. Vincent, an island in the West Indies, obtains a significant portion of its revenues from sales of special souvenir sheets to stamp collectors. The postal service purchases the souvenir sheets from a supplier for $0.80 each. St. Vincent has been selling the souvenir sheets for $8.00 each and ordinarily sells about 80,000 units. To test the market, the postal service recently priced a new souvenir sheet at $7.00 and sales increased to 93,600 units.

Required:

1. What total contribution margin did the postal service earn when it sold 80,000 sheets at a price of $8.00 each?

2. By what percentage did the St. Vincent post office decrease its selling price? By what percentage did unit sales increase? (Round your answers to 1 decimal place.)

3. What total contribution margin did the postal service earn when it sold 93,600 sheets at a price of $7.00 each?

4. What was the postal service’s increase (decrease) in total contribution margin going from the higher price of $8.00 to the lower price of $7.00?

5. How many sheets would the postal service have to sell at the lower price of $7.00 to equal the total contribution margin earned at the higher price of $8.00? (Round your answer to the nearest whole number.)

6. What percentage increase in the number of sheets sold at $7.00 must be achieved to equal the total contribution margin earned at the higher price of $8.00? (Round your intermediate calculations to the nearest whole number. Round final answer to 1 decimal place.)

Solutions

Expert Solution

Answer 1.

Number of sheets sold = 80,000
Selling Price per sheet = $8.00
Cost per sheet = $0.80

Contribution Margin per sheet = Selling Price per sheet - Cost per sheet
Contribution Margin per sheet = $8.00 - $0.80
Contribution Margin per sheet = $7.20

Contribution Margin = Contribution Margin per sheet * Number of sheets sold
Contribution Margin = $7.20 * 80,000
Contribution Margin = $576,000

Answer 2.

Percentage Change in Selling Price = ($7.00 - $8.00) / $8.00
Percentage Change in Selling Price = -12.5%

Percentage Change in Unit Sales = (93,600 - 80,000) / 80,000
Percentage Change in Unit Sales = 17.0%

Answer 3.

Number of sheets sold = 93,600
Selling Price per sheet = $7.00
Cost per sheet = $0.80

Contribution Margin per sheet = Selling Price per sheet - Cost per sheet
Contribution Margin per sheet = $7.00 - $0.80
Contribution Margin per sheet = $6.20

Contribution Margin = Contribution Margin per sheet * Number of sheets sold
Contribution Margin = $6.20 * 93,600
Contribution Margin = $580,320

Answer 4.

Change in Contribution Margin = $580,320 - $576,000
Change in Contribution Margin = $4,320

Answer 5.

Contribution Margin = Contribution Margin per sheet * Number of sheets sold
$576,000 = $6.20 * Number of sheets sold
Number of sheets sold = 92,903

Answer 6.

Percentage Change in Unit Sales = (92,903 - 80,000) / 80,000
Percentage Change in Unit Sales = 16.1%


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