In: Accounting
Hawk Homes, Inc., makes one type of birdhouse that it sells for
$29.00 each. Its variable cost is $13.30 per house, and its fixed
costs total $13,643.30 per year. Hawk currently has the capacity to
produce up to 2,300 birdhouses per year, so its relevant range is 0
to 2,300 houses.
Required:
1. Prepare a contribution margin income statement for Hawk
assuming it sells 1,130 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 $28,000 this year.
Determine how many birdhouses it must sell to generate this amount
of profit. (Round up to the next whole
number.)
1. Contribution margin income Statement
Sales (In units) | 1,130 |
Selling price per Unit | $29 |
a. Sales [1,130 x $29] | $32,770 |
b. Variable Cost @13,30 per unit |
$15,029 [1,130 x $13.30] |
c. Contribution margin [a - b] | $17,741 |
d. Fixed Cost |
$13,643.30 |
Net Income (c - d) | $4,097.70 |
2. If the company breaks even, then the total contribution margin will equal to total fixed cost.
Therefore, Total contribution margin = $13,643.30
3. Calculation of Contribution per Unit and Contribution margin ratio:
a. Sale per unit | $29 |
b. Variable Cost per Unit | $13.30 |
c. Contibution margin per unit (a - b) | $15.70 |
Contribution margin ratio (c/a) x 100 |
54.14% [$15.70 ÷ $29] x 100 |
4. Calculation of Break
Even Point
Break Even point (In units) = [Fixed cost ÷ Contribution per unit]
= $13,643.30 ÷ $15.70
= 869 Birdhouses
Break even point (In dollars) = [Fixed cost ÷ Contribution margin ratio]
= $13,643.30 ÷ 54.14%
= $25,200.04
5. Calculation of No, of units to be sold to get a profit of $28,000:
Target sales (In units) = [Fixed cost + Desired profit] ÷ Contribution per unit
= [$13,643.30 + $28,000] ÷ $15.70
= 2,652.44 Birdhouses
(But this is beyond the production capacity of 2,300 houses)