Question

Cheryl Montoya picked up the phone and called her boss, Wes Chan, the vice president of marketing at Piedmont Fasteners Corporation: “Wes, I’m not sure how to go about answering the questions that came up at the meeting with the president yesterday.” "What's the problem?" “The president wanted to know the break-even point for each of the company’s products, but I am having trouble figuring them out.” “I’m 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: Velcro Metal Nylon Annual sales volume 106,000 195,000 295,000 Unit selling price $ 2.10 $ 1.30 $ 1.10 Variable expense per unit $ 0.90 $ 0.60 $ 0.90 Total fixed expenses are $258,000 per year. All three products are sold in highly competitive markets, so the company is unable to raise prices without losing an 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 company’s over-all break-even point in dollar sales? 2. Of the total fixed expenses of $258,000, $25,800 could be avoided if the Velcro product is dropped, $115,500 if the Metal product is dropped, and $37,600 if the Nylon product is dropped. The remaining fixed expenses of $79,100 consist of common fixed expenses 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 unit sales 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?

Answer 1

1. Overall break even in dollars = $640083

2. a Break-even point in unit sales for each product:

	Velcro	Metal	Nylon
Selling price unit	2.1	1.3	1.1
Less:Variable cost per unit	0.9	0.6	0.9
Contribution per unit	1.2	0.7	0.2
Fixed expenses	25800	115500	37600
Break even sales(units)	21500	165000	188000

b.

	Velcro	Metal	Nylon	Total
Break even sales(units)	21500	165000	188000
Sales(in dollars)	45150	214500	206800	466450
Less: Variable costs	19350	99000	169200	287550
Contribution margin	25800	115500	37600	178900
Fixed expenses				258,000
Net operating loss				-79,100