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Alex Ar [27]
3 years ago
5

Alo Company produces commercial printers. One is the regular model, a basic model that is designed to copy and print in black an

d 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.
Business
1 answer:
Nataly [62]3 years ago
5 0

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:

<u>Sales Revenue at break-even point:</u>

= 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)

Learn more: brainly.com/question/17173792

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A business rents bicycles and in-line skates. Bicycle rentals cost $25 per day, and in-line skate rentals cost $20 per day. The
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Answer:

a.

25 b+20 s=455...equation 1

b+s=20...equation 2, where b and s are the number of bicycle and in-line skate rentals per day.

b. The business had 11 bicycle rentals and 9 in-line skate rentals.

Explanation:

a.

<em>Step 1: Determine an equation for total revenue today</em>

Since the business rents bicycles and in-line skates, the total revenue will be as a result of amount received in revenue from renting the bicycles and in-line skates. This can be expressed as shown;

T=(B×b)+(S×s)

where;

T=total revenue

B=bicycle rental cost per day

b=number of bicycles

S=in-line skate rental cost per day

s=number of in-line skates

In our case;

T=$455

B=$25 per day

b=unknown

S=$20 per day

s=unknown

Replacing;

(25×b)+(20×s)=455

25 b+20 s=455...equation 1

<em>Step 2: Determine an equation for total rentals today</em>

The equation for the total number of rentals is;

R=b+s

where;

R=total number of rentals today

b=number of bicycles

s=number of in-line skates

In our case;

R=20

b=unknown

s=unknown

Replacing;

b+s=20...equation 2

b.

<em>Step 3: Combine equation 1 and 2 ans solve simultaneously</em>

1(25 b+20 s=455), multiplying equation 1 by 1=25 b+20 s=455

     20(b+s=20), multiply equation 2 by 20=20 b+20 s=400

25 b+20 s=455

-

20 b+20 s=400

5 b+0 s=55

(5 b)/5=55/5=11

b=11, replace the value for b in equation 2 and solve;

(20×11)+20 s=400

220+20 s=400

20 s=400-220=180

20 s=180

s=(180/20)=9

The business had 11 bicycle rentals and 9 in-line skate rentals.

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