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	96,000		198,000		297,000
Unit selling price	$	1.80	$	1.40	$	0.90
Variable expense per unit	$	0.70	$	0.80	$	0.80

Total fixed expenses are $262,000 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 $262,000, $22,220 could be avoided if the Velcro product is dropped, $94,800 if the Metal product is dropped, and $20,400 if the Nylon product is dropped. The remaining fixed expenses of $124,580 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

Solution 1:

Computation of Product wise and overall contribution margin ratio - Piedmont Fasteners Corporation
Particulars	Velcro	Metal	Nylon	Total
Sales units	96000	198000	297000
Selling price per unit	$1.80	$1.40	$0.90
Variable cost per unit	$0.70	$0.80	$0.80
Sales Revenue	$172,800.00	$277,200.00	$267,300.00	$717,300.00
Variable cost	$67,200.00	$158,400.00	$237,600.00	$463,200.00
Contribution	$105,600.00	$118,800.00	$29,700.00	$254,100.00
Contribution Margin Ratio	61.1111%	42.8571%	11.1111%	35.4245%

Overall breakeven point in dollar sales = Fixed cost / Weighted average contribution margin ratio

= $262,000/35.4245% = $739,601

Solution 2a:

Computation of Breakeven point of each product
Particulars	Velcro	Metal	Nylon
Selling price per unit	$1.80	$1.40	$0.90
Variable cost per unit	$0.70	$0.80	$0.80
Contribution per unit	$1.10	$0.60	$0.10
Fixed expenses related to each product	$22,220.00	$94,800.00	$20,400.00
Breakeven point (Sales Units) (Fixed Expenses / Contribution per unit)	20200	158000	204000

Solution 2b:

If company sells exactly the breakeven quantity of each product, then it will only able to recover fixed cost traceable to products and common fixed costs could not be recovered, therefore overall profit (Loss) of the company = ($124,580)