Steinberg Company produces commercial printers. One is the regular model, a basic model that is designed to copy and print in black and white. Another model, the deluxe model, is a color printer-scanner-copier. For the coming year, Steinberg expects to sell 90,000 regular models and 18,000 deluxe models. A segmented income statement for the two products is as follows: Regular Model Deluxe Model Total
Sales $13,500,000 $12,150,000 $25,650,000
Less: Variable costs 9,000,000 7,290,000 16,290,000
Contribution margin $4,500,000 $4,860,000 $9,360,000
Less: Direct fixed costs 1,200,000 960,000 2,160,000
Segment margin $3,300,000 $3,900,000 $7,200,000
Less: Common fixed costs 1,280,000
Operating income $5,920,000
Required:
1. Compute the number of regular models and deluxe models that must be sold to break even.
2. Using information only from the total column of the income statement, compute the sales revenue that must be generated for the company to break even.

1. Regular models 24,000

Deluxe models 3,556

2.17.4354%

Explanation:

1. Computation for the number of regular models and deluxe models that must be sold to break even

REGULAR MODEL:

First step is to calculate the Contribution per unit using this formula

Contribution per unit=Contribution/No.ofunits

Let plug in the formula

Contribution per unit=$4,500,000/90

Contribution per unit=50

Now let calculate the Break even units using this formula

Break even units=Direct fixed costs/Contribution per unit

Let plug in the formula

Break even units=$1,200,000/50

Break even units=24,000

DELUXE MODEL:

First step is to calculate the Contribution per unit using this formula

Contribution per unit=Contribution/No.ofunits

Let plug in the formula

Contribution per unit=$4,860,000/18,000

Contribution per unit=270

Now let calculate the Break even units using this formula

Break even units=Direct fixed costs/Contribution per unit

Let plug in the formula

Break even units=960,000/270

Break even units=3,556

Therefore the number of regular models and deluxe models that must be sold to break even are:

Regular models 24,000

Deluxe models 3,556

2. Computation for the sales revenue that must be generated for the company to break even

First step is to calculate the Break-even sales -

Break-even sales = 16,290,000 + 2,160,000 + 1,280,000

Break-even sales = 19,730,000

Second step is to calculate the Contribution Using this formula

Contribution = Break-even sales - Variable costs

Let plug in the formula

Contribution = 19,730,000 - 16,290,000

Contribution = $3,440,000

Now let calculate the Contribution margin ratio using this formula

Contribution margin ratio=Contribution/Break even sales *100

Contribution margin ratio=$3,440,000/$19,730,000*100

Contribution margin ratio=17.4354%

Therefore the Contribution margin ratio is 17.4354%

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