In: Accounting
Sunlight Design Corporation sells glass vases at a wholesale price of
$ 3.00$3.00
per unit. The variable cost to manufacture is
$ 2.00$2.00
per unit. The monthly fixed costs are
$ 8 comma 000.00$8,000.00.
Its current sales are
28 comma 00028,000
units per month. If the company wants to increase its operating income by
2020%,
how many additional units must it sell? (Round any intermediate calculations to two decimal places and your final answer up to the nearest whole number.)
A.
84 comma 00084,000
glass vases
B.
32 comma 00032,000
glass vases
C.
8 comma 0008,000
glass vases
D.
4 comma 0004,000
glass vases
Ans. | Option D 4,000 glass vases | |||
WORKING NOTES : | ||||
Step 1 : Calculations for current net operating income : | ||||
Sunlight Design Corporation | ||||
Contribution Income Statement | ||||
Total | Per unit | |||
Sales (28,000 *p) | $84,000 | $3.00 | ||
Variable expenses (28,000 * v) | -$56,000 | -$2.00 | ||
Contribution margin | $28,000 | $1.00 | ||
Fixed expenses | -$8,000 | |||
Current net operating income | $20,000 | |||
P = price per unit | ||||
V = variable cost per unit | ||||
Step 2 : Calculations for income after increase in 20% : | ||||
Increased net operating income = Current net operating income * 1.20 | ||||
$20,000 * 1.20 | ||||
$24,000 | ||||
Step 3 : Calculations for unit sales for increased net income : | ||||
Unit sales for target profit = (Fixed expense + Target profit) / Contribution margin per unit | ||||
($8,000 + $24,000) / $1 | ||||
$32,000 / $1 | ||||
32,000 units | ||||
Step 4 : Calculations for additional units to be sold : | ||||
Additional units = Unit sales for increased net income - Current units sold | ||||
32,000 - 28,000 | ||||
4,000 glass vases | ||||