In: Accounting
In 2012, Raleigh sold 1,000 units at $500 each, and earned net income of $50,000. Variable expenses were $300 per unit, and fixed expenses were $150,000. The same selling price is expected for 2013. Raleigh’s variable cost per unit will rise by 10% in 2013 due to increasing material costs, so they are tentatively planning to cut fixed costs by $15,000. How many units must Raleigh sell in 2013 to maintain the same income level as 2012?
a. 794
b. 971
c. 1,176
d. 1,088
d. 1,088
Working:
a. | ||||||||||
in 2013, | ||||||||||
Selling Price | = | $ 500 | ||||||||
Variable Cost | = | $ 300 | x | 1.10 | = | $ 330 | ||||
Fixed Expense | = | $ 1,50,000 | - | 15000 | = | $ 1,35,000 | ||||
Target Net Income | = | $ 50,000 | ||||||||
b. | ||||||||||
Contribution margin per unit | = | Selling Price | - | Variable Cost | ||||||
= | $ 500 | - | $ 330 | |||||||
= | $ 170 | |||||||||
c. | Fixed Expense | $ 1,35,000 | ||||||||
Target Income | $ 50,000 | |||||||||
Target Contribution | $ 1,85,000 | |||||||||
/Contribution Margin per unit | $ 170 | |||||||||
Target Units sold | 1088 | |||||||||