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CVP Analysis and BEP Estimate

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Teri Hall; Graphing: Incremental Analysis; Operating Leverage

Teri Hall has recently opened Sheer Elegance, Inc., a store specializing in fashionable stockings. Mrs. Hall has just completed a course in managerial accounting and she believes that she can apply certain aspects of the course to her business. She is particularly interested in adopting the cost-volume-profit (CVP) approach to decision making. Thus, she has prepared the following analysis:

Sales price per pair of stockings $2.00
Variable expense per pair of stockings 0.80
Contribution margin per pair of stockings $1.20
Fixed expenses per year:
Bldg rental $12,000
Equip. depreciation $3,000
Selling $30,000
Administrative $15,000
Total fixed expense $60,000

1. How many pair of stockings must be sold to break even? What does this represent in total dollar sales?
2. Prepare a CVP graph or a profit graph for the store from zero pairs up to 70,000 pairs of stockings sold each year. Indicate the break- even point of the graph.
3. How many pairs of stockings must be sold to earn a $9,000 target profit for the first year?
4. Ms. Hall now has one full-time and one part-time salesperson working in the store. It will cost her an additional $8,000 per year to convert the part-time position to a full-time position. Ms. Hall believes that the change would bring in an additional $20,000 in sales each year. Should she convert the position? Use the incremental approach. (do not prepare an income statement)
5. Refer to the original data. Actual operating results for the first year are as follows:
Sales $125,000
Variable expenses 50,000
Contribution margin 75,000
Fixed expenses 60,000
Net operating income $15,000
(a). What is the store's degree of operating leverage?
(b). Ms. Hall is confident that with some effort she can increase sales by 20% next year.
What would be the expected percentage increase in net operating income? Use the
Degree of operating leverage concept to compute your answer.

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Solution Summary

Solution depicts the steps to estimate BEP, sales needed to achieve a target profit and degree of operating leverage in the given scenario.

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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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