In: Accounting
High-Low Cost Estimation and Profit Planning Comparative 2007 and 2008 income statements for Dakota Products Inc. follow: DAKOTA PRODUCTS INC. Comparative Income Statements For Years Ending December 31, 2007 and 2008 2007 2008 Unit sales 5,000 8,000 Sales revenue $60,000 $96,000 Expenses (64,000) (76,000) Profit (loss) $(4,000) $20,000 (a) Determine the break-even point in units. Answer 0 units (b) Determine the unit sales volume required to earn a profit of $5,000. Answer 0
(a) Determine the break-even point in units
5,500 Units
(b) Determine the unit sales volume required to earn a profit of $5,000
6,125 units
Working:
Step-1:Calculation of Variable cost per unit, Total Fixed Cost and Selling Price per unit | |||||||||||||
a. | As per high-low method, | ||||||||||||
Variable cost per unit | = | (Total cost at highest level-Total cost at lowest level)/(Highest level-Lowest Level) | |||||||||||
= | (76000-64000)/(8000-5000) | ||||||||||||
= | $ 4.00 | ||||||||||||
b. | Now either at highest level of | 8000 units | or | ||||||||||
or lowest level of | 5000 units | ||||||||||||
Total cost | $ 76,000 | $ 64,000 | |||||||||||
Less:Variable cost | $ 32,000 | $ 20,000 | |||||||||||
(8000*4.00) | (5000*4.00) | ||||||||||||
Fixed Cost | $ 44,000 | $ 44,000 | |||||||||||
c. | Sales Price per unit | = | Total Sales /Total Units sold | ||||||||||
So, | |||||||||||||
Sales Price per unit of: | |||||||||||||
2007 | $ 60,000 | / | 5000 | = | $ 12.00 | ||||||||
2008 | $ 96,000 | / | 8000 | = | $ 12.00 | ||||||||
Step-2:Calculation of Break even point in units sales | |||||||||||||
Break even point in units sales | = | Fixed Cost/Contribution Margin per unit | |||||||||||
= | $ 44,000 | / | $ 8.00 | ||||||||||
= | 5,500 | ||||||||||||
Working: | |||||||||||||
Selling Price per unit | $ 12.00 | ||||||||||||
Less: Variable cost per unit | $ 4.00 | ||||||||||||
Contribution Margin per unit | $ 8.00 | ||||||||||||
Step-3:Calculation of Unit sales volume required to earn profit of $ 5,000 | |||||||||||||
Fixed Cost | $ 44,000 | ||||||||||||
Target Profit | $ 5,000 | ||||||||||||
Target Contribution Margin | $ 49,000 | ||||||||||||
/Contribution margin per unit | $ 8.00 | ||||||||||||
Target units to be sold | 6125 | ||||||||||||