Alo 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, Alo 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 $12,240,000 $25,740,000
Less: Variable costs 8,100,000 7,344,000 15,444,000
Contribution margin $5,400,000 $4,896,000 $10,296,000
Less: Direct fixed costs 1,200,000 960,000 2,160,000
Segment margin $4,200,000 $3,936,000 $8,136,000
Less:Common fixed costs 1,500,800
Operating income $6,635,200
Required:
1. Compute the number of regular models and deluxe models that must be sold to break even. Round your answers to the nearest whole unit. Regular models units Deluxe models units
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. Round the contribution margin ratio to four decimal places. Use the rounded value in the subsequent computation. (Express as a decimal-based amount rather than whole percentage.) Round the amount of revenue to the nearest dollar.

1. The break-even points in sales units are computed as follows:

Break-even point (in units) = Direct fixed cost/contribution margin per unit

Regular model = 20,000 units ($1,200,000/$60)

Deluxe model = 3,529 units ($960,000/$272)

2. The Alo Company's Sales revenue to break-even, company-wide, is computed as follows:

Sales Revenue at break-even point:

= Fixed costs/Contribution margin ratio

= $3,660,800/40%

= $9,152,000

Data and Calculations:

                                         Regular Model   Deluxe Model           Total

Expected sales quantity             90,000               18,000             108,000

Sales                                    $13,500,000     $12,240,000     $25,740,000

Less: Variable costs               8,100,000         7,344,000        15,444,000

Contribution margin           $5,400,000       $4,896,000     $10,296,000

Less: Direct fixed costs         1,200,000            960,000         2,160,000

Segment margin                $4,200,000       $3,936,000       $8,136,000

Less:Common fixed costs                                                         1,500,800

Operating income                                                                  $6,635,200

Selling price per unit                  $150                   $680 ($12,240,000/18,000)

Variable costs per unit                $90                   $408 ($7,344,000/18,000)

Contribution margin                    $60                   $272 ($680 - $408)

Contribution margin ratio for the company = 40% ($10,296,000/$25,740,000 x 100)

Company total fixed costs = $3,660,800 ($2,160,000 + $1,500,800)

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