In: Accounting
Klean N’ Kind Corporation sells one product which has a sales
price of $250 each. The company operates with variable costs for
this one product of $200 per unit. The company’s monthly fixed
costs are $15,000. The applicable tax rate is 20%.
Required:
Using the Contribution Margin approach perform the following:
1. Calculate the contribution margin per unit.
2. Given a desired after tax profit of $68,000, compute the before
tax profit.
3. Calculate the sales units needed to achieve the after-tax profit
of $68,000.
4. Compute the contribution margin ratio.
5. Using your answer to Part 4, calculate the dollar sales needed
to achieve an after-tax profit of $68,000.
1) | Contribution margin per unit = selling price - variable cost per unit | ||||||||
=250 - 200 | |||||||||
50 | per unit | ||||||||
2) | Before tax profit = after tax profit / (1 - tax rate) | ||||||||
=68000 / (1-20%) | |||||||||
85000 | |||||||||
3) | Target Units = (Fixed cost + target profit/(1-tax rate)) / Contribution per unit | ||||||||
=(15000 + 68000/(1-20%)) / 50 | |||||||||
2000 | Units | ||||||||
4) | Contribution margin ratio = contribution per unit / selling price * 100 | ||||||||
=50/250*100 | |||||||||
20% | |||||||||
5) | Target sales in dollar = (Fixed cost + target profit/(1-tax rate)) / Contribution margin ratio | ||||||||
=(15000 + 68000/(1-20%)) / 20% | |||||||||
500,000 | |||||||||