Piedmont Fasteners Corporation makes three different clothing fasteners in its manufacturing facility in North Carolina. All three products are sold in highly competitive markets, so the company is unable to raise prices without losing an unacceptable number of customers. Data from the most recent period concerning these products appear below:

Velcro Metal Nylon

Annual sales volume $102,600205,200410,400$

Unit selling price $ $1\mathrm{.}65$ $ $1\mathrm{.}50$ $ $0\mathrm{.}85$

Variable expense per unit $ $1\mathrm{.}25$ $ $0\mathrm{.}70$ $ $0\mathrm{.}25$

Contribution margin per unit $ $0\mathrm{.}40$ $ $0\mathrm{.}80$ $ $0\mathrm{.}60$

Total fixed expenses are $$410,400$ per period. Of the total fixed expenses, $$20,000$ could be avoided if the Velcro product is dropped, $$80,000$ if the Metal product is dropped, and $$60,000$ if the Nylon product is dropped. The remaining fixed expenses of $$250,400$ 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.

The company's managers would like to compute the break$-$even point in dollar sales for the company as a whole, and the break$-$even point in unit sales for each product. They are considering two methods for computing each product's break$-$even point unit sales:

Method #$1$: Include each product's traceable fixed costs and an allocated share of the common fixed costs in the numerator of each break$-$even calculation. The common fixed costs would be allocated to the three products using sales dollars as the allocation base.

Method #$2$: Only include each product's traceable fixed costs in the numerator of each break$-$even calculation.

Required:

$1.$ Using data from the most recent period, prepare a contribution format segmented income statement.

$2.$ What is the company$$s overall break$-$even point in dollar sales?

$3$a$.$ Calculate the break$-$even point in unit sales for each product using method $1.$

$3$b$.$ If the company sells exactly the break$-$even quantity of each product, what will be the overall profit for the company using method $1?$

$4$a$.$ Calculate the break$-$even point in unit sales for each product using method $2.$

$4$b$.$ If the company sells exactly the break$-$even quantity of each product, what will be the overall profit for the company using method $2?$

$5.$ Which method should the company use to calculate each product's break$-$even point in unit sales?