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 110,000 186,000 302,000 Unit selling price $ 2.10 $ 1.70 $ 0.80 Variable expense per unit $ 0.80 $ 0.90 $ 0.70 Total fixed expenses are $269,000 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? (Round CM ratio to 4 decimal places and final answer to the nearest thousand dollars.) 2. Of the total fixed expenses of $269,000, $36,270 could be avoided if the Velcro product is dropped, $139,200 if the Metal product is dropped, and $20,000 if the Nylon product is dropped. The remaining fixed expenses of $73,530 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? (Do not round intermediate calculations.) b. If the company sells exactly the break-even quantity of each product, what will be the overall profit of the company?

Answer 1

Answer with working notes is given below

Working notes Total Units sold Selling price Variable cost Contribution per unit Velcro 110,000 $2.10 $0.80 $1.30 Metal 186,000 $1.70 $0.90 $0.80 Nylon 302,000 $0.80 $0.70 $0.10 Total Sales Less: Variable cost Contribution $231,000 $88,000 $143,000 $316,200 $167,400 $148,800 $241,600 $211,400 $30,200 $788,800 B $466,800 $322,000 A 61.9048% 47.0588% 12.5000% 40.8215% A/B Contribution Margin % (Contribution/Sales)% 1 Break even point in Sales dollars Fixed Cost $269,000 Contribution Margin % 40.8215% $658,966 2 Product wise Break even point Velcro 27,900 Metal 174,000 Nylon 200,000 A/B a) Break even point in units Avoidable fixed cost Contribution per unit $36,270 $1.30 $139,200 $0.80 $20,000 A $0.10 B 1 Total b) Sales units Contribution per unit Total Contribution Less: Fixed Cost Net Loss Velcro 27,900 $1.300 $36,270 Metal 174,000 $0.80 $139,200 Nylon 200,000 $0.10 $20,000 $195,470 $269,000 $73,530