Question

In: Accounting

Hawk Homes, Inc., makes one type of birdhouse that it sells for $30.80 each. Its variable...

Hawk Homes, Inc., makes one type of birdhouse that it sells for $30.80 each. Its variable cost is $14.70 per house, and its fixed costs total $13,926.50 per year. Hawk currently has the capacity to produce up to 3,000 birdhouses per year, so its relevant range is 0 to 3,000 houses.
Required:
1.
Prepare a contribution margin income statement for Hawk assuming it sells 1,120 birdhouses this year. (Enter your answers rounded to 2 decimal places.)

2. Without any calculations, determine Hawk’s total contribution margin if the company breaks even. (Enter your answers rounded to 2 decimal places.)

3. Calculate Hawk’s contribution margin per unit and its contribution margin ratio. (Round your answers to 2 decimal places. (i.e. .1234 should be entered as 12.34%.))

4. Calculate Hawk’s break-even point in number of units and in sales revenue. (Round your "Sales Revenue" answer to 2 decimal places and "Unit" answer to the nearest whole number.)

5. Suppose Hawk wants to earn $21,000 this year. Determine how many birdhouses it must sell to generate this amount of profit. (Round up to the next whole number.)

Solutions

Expert Solution

1.

Hawk Homes, Inc

Contribution margin Income Statement

Sales revenues (1,120*$30.80) $34,496
Variable costs (1,120*$14.70) $16,464
Contribution margin $18,032
Fixed costs $13,926.50
Net operating income $4,105.5

2.

At the break-even point, total contribution margin equals fixed costs.

Total contribution margin = $13,926.5

3.

Contribution margin per unit = Selling price per unit - Variable cost per unit

= $30.80 - $14.70

= $16.1

Contribution margin ratio = Contribution margin per unit / Selling price per unit

= $16.1 / $30.80

= 52.27%

4.

Break-even point in number of units = Fixed costs / Contribution margin per unit

= $13,926.50 / $16.1

= 865

Break-even point in sales revenues = Fixed costs / Contribution margin ratio

= $13,926.50 / 52.27%

= $26,643.39

5.

Units to be sold = (Fixed costs + Desired profit) / Contribution margin per unit

= ($13,926.50 + $21,000) / $16.1

= 2,169 units


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