Problem $5-20($Algo$)$ CVP Applications: Break$-$Even Analysis; Cost Structure; Target Sales $[$LO$5-1,$ LO$5-3,$ LO$5-4,$ LO$5-5,$ LO$5-6,$ LO$5-8]$

Northwood Company manufactures basketballs. The company has a ball that sells for $$25.$ At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $$15\mathrm{.}00$ per ball, of which $60\%$ is direct labor cost.

Last year, the company sold $33,500$ of these balls, with the following results:

Sales $(33,500$ balls$)$ $ $837,500$

Variable expenses $502,500$

Contribution margin $335,000$

Fixed expenses $229,600$

Net operating income $ $105,400$

Required:

$1.$ Compute $($a$)$ last year's CM ratio and the break$-$even point in balls, and $($b$)$ the degree of operating leverage at last year$$s sales level.

$2.$ Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $$3\mathrm{.}00$ per ball. If this change takes place and the selling price per ball remains constant at $$25\mathrm{.}00,$ what will be next year's CM ratio and the break$-$even point in balls?

$3.$ Refer to the data in requirement $2.$ If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $$105,400,$ as last year?

$4.$ Refer again to the data in requirement $2.$ The president feels that the company must raise the selling price of its basketballs. If Northwood Company wants to maintain the same CM ratio as last year $($as computed in requirement $1$a$),$ what selling price per ball must it charge next year to cover the increased labor costs?

$5.$ Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new plant would slash variable expenses per ball by $40\mathrm{.}00\%,$ but it would cause fixed expenses per year to double. If the new plant is built, what would be the company$$s new CM ratio and new break$-$even point in balls?

$6.$ Refer to the data in requirement $5.$

a$.$ If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $$105,400,$ as last year?

b$.$ Assume the new plant is built and that next year the company manufactures and sells $33,500$ balls $($the same number as sold last year$).$ Prepare a contribution format income statement and compute the degree of operating leverage.Required:

Compute $($a$)$ last year's CM ratio and the break$-$even point in balls, and $($b$)$ the degree of operating leverage at last year's sales level.

Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $$3\mathrm{.}00$ per ball. If this

change takes place and the selling price per ball remains constant at $$25\mathrm{.}00,$ what will be next year's $CM$ ratio and the break$-$even

point in balls?

Refer to the data in requirement $2.$ If the expected change in variable expenses takes place, how many balls will have to be sold

next year to earn the same net operating income, $$105,400,$ as last year?

Refer again to the data in requirement $2.$ The president feels that the company must raise the selling price of its basketballs. If

Northwood Company wants to maintain the same CM ratio as last year $($as computed in requirement $1$a$),$ what selling price per ball

must it charge next year to cover the increased labor costs?

Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new plant

would slash variable expenses per ball by $40\mathrm{.}00\%,$ but it would cause fixed expenses per year to double. If the new plant is built, what

would be the company's new CM ratio and new break$-$even point in balls?

$6.$ Refer to the data in requirement $5.$

a$.$ If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $$105,400,$ as last

year?

b$.$ Assume the new plant is built and that next year the company manufactures and sells $33,500$ balls $($the same number as sold last

year$).$ Prepare a contribution format income statement and compute the degree of operating leverage.

Complete this question by entering your answers in the tabs below.

Req $1$

Req $2$

Req $3$

Req $4$

Refer again to the data in requirement $2.$ The president feels that the company must raise the selling price of its basketballs.

If Northwood Company wants to maintain the same CM ratio as last year $($as computed in requirement $1$a$),$ what selling price

per ball must it charge next year to cover the increased labor costs? $($Round your answer to $2$ decimal places.$)$