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Case study Cheryl Montoya picked up the phone and called her boss, Wes Chan, the vice president of the marketing at Piedmont Fasteners Corporation: Wes

Case study
Cheryl Montoya picked up the phone and called her boss, Wes Chan, the vice president of the marketing at Piedmont Fasteners Corporation: Wes, Im not sure how to go about the answering the questions that came up at the meeting with the president yesterday.
Whats the problem?
The president wanted to know the break-even point for each of the companys products, but I am having trouble figuring them out.
Im sure you can handle it, Cheryl. And, by the way, I need your analysis on my desk tomorrow morning at 8:00 sharp in time for the follow-up meeting at 9:00.
Piedmont Fasteners Corporation makes three different clothing fasteners in its manufacturing facility in North Carolina. Data concerning these products appear below:
Velco Metal Nylon
Normal annual sales volume .........................100,000200,000400,000
Unit selling price ...............................................$1.65 $1.50 $0.85
Variable cost per unit .......................................$1.25 $0.70 $0.25
Total fixed expenses are $400,000 per year.
All three products are sold in highly competitive markets, so the company is unable to raise its prices without losing unacceptable numbers of customers.
The company has an extremely effective lean production system, so there are no beginning or ending work in process or finished goods inventories.
Required:
1. What is the companys over-all break-even point in total sales dollars?
2. Of the total fixed cost costs of $400,000, $20,000 could be avoided if Velcro product were dropped, $80,000 if the Metal product were dropped, and $60,000 if the Nylon product were dropped. The remaining fixed costs of $240,000 consist of common fixed costs such as administrative salaries and rent on the factory building that could be avoided only by going out of business entirely.
a. What is the break-even point in units for each product?
b. If the company sells exactly the break-even quantity of each product, what will be the overall profit of the company? Explain this result.

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