Determine the amount of sales units that would be necessary
Determine the amount of sales (units) that would be necessary under
Break-Even Sales Under Present and Proposed Conditions
Darby Company, operating at full capacity, sold 78,300 units at a price of $135 per unit during the current year. Its income statement for the current year is as follows:
The division of costs between fixed and variable is as follows:
Management is considering a plant expansion program that will permit an increase of $810,000 in yearly sales. The expansion will increase fixed costs by $81,000, but will not affect the relationship between sales and variable costs.
Required:
1. Determine the total variable costs and the total fixed costs for the current year. Enter the final answers rounded to the nearest dollar.
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Enter the final answers rounded to two decimal places.
3. Compute the break-even sales (units) for the current year. Enter the final answers rounded to the nearest whole number.
units
4. Compute the break-even sales (units) under the proposed program. Enter the final answers rounded to the nearest whole number.
units
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $130,500 of income from operations that was earned in the current year. Enter the final answers rounded to the nearest whole number.
units
6. Determine the maximum income from operations possible with the expanded plant. Enter the final answer rounded to the nearest dollar.
$
| Sales | $10,570,500 | ||
| Cost of goods sold | 5,220,000 | ||
| Gross profit | $5,350,500 | ||
| Expenses: | |||
| Selling expenses | $2,610,000 | ||
| Administrative expenses | 2,610,000 | ||
| Total expenses | 5,220,000 | ||
| Income from operations | $130,500 |
Solution
1.
2.
3. Break-even sales (units): 75498 units
Break-even sales (units) = Total fixed costs / Contribution margin per unit = $3523500/$46.67 = 75498.18
4. Break-even sales (units): 77234 units
Break-even sales (units) = Total fixed costs / Contribution margin per unit
Total fixed costs + $3523500 + $81000 = $3604500
Break-even sales (units) = $3604500/$46.67 = 77233.77 units
Note: Per Chegg guidelines, 4 sub-parts have been answered.
| Total variable costs | $6916500 |
| Total fixed costs | $3523500 |

