In: Accounting
The following is Antisdale Corporation's contribution format income statement for last month:
| Sales | $ 3,750,000 | |
| Variable expenses | 1,687,500 | |
| Contribution margin | 2,062,500 | |
| Fixed expenses | 950,000 | |
| Net operating income | $ 1,112,500 | |
The company has no beginning or ending inventories and produced and sold 60,000 units during the month.
Required:
a. What is the company's contribution margin ratio?
b. What is the company's break-even in units?
c. If sales increase by 6,000 units, by how much should net operating income increase?
d. How many units would the company have to sell to attain a target profit of $1,525,000?
| Ans. 1 | Contribution margin ratio = Total contribution margin / Total sales * 100 | ||
| $2,062,500 / $3,750,000 * 100 | |||
| 55% | |||
| Ans. 2 | *First of all, we need to calculate the contribution margin per unit for the calculation of | ||
| break even point in units. | |||
| Contribution margin per unit = Contribution margin / Number of units sold | |||
| $2,062,500 / 60,000 | |||
| $34.375 | per unit | ||
| Now we can calculate the break even point in units. | |||
| Break even point in unit sales = Fixed expenses / Contribution margin per unit | |||
| $950,000 / $34.375 | |||
| 27,636 units | (rounded) | ||
| Ans. 3 | Incremental contriubtion margin = Contribution margin per unit * Increase in Unit sales | ||
| $34.375 * 6,000 | |||
| $206,250 | |||
| *Fixed cost does not change by the change in sales so the incremental contribution margin will be | |||
| equal to the increase in net operating income. | |||
| So, increase in net operaitng income is $206,250. | |||
| Ans. 4 | Unit sales for target profit = (Fixed expense + Target profit) / Contribution margin per unit | ||
| ($950,000 + 1,525,000) / $34.375 | |||
| $2,475,000 / $34.375 | |||
| 72,000 units |