In: Accounting
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 82,350 units at a price of $96 per unit during the current year. Its income statement for the current year is as follows:
Sales | $7,905,600 | ||
Cost of goods sold | 3,904,000 | ||
Gross profit | $4,001,600 | ||
Expenses: | |||
Selling expenses | $1,952,000 | ||
Administrative expenses | 1,952,000 | ||
Total expenses | 3,904,000 | ||
Income from operations | $97,600 |
The division of costs between fixed and variable is as follows:
Variable | Fixed | |||
Cost of goods sold | 70% | 30% | ||
Selling expenses | 75% | 25% | ||
Administrative expenses | 50% | 50% |
Management is considering a plant expansion program that will permit an increase of $672,000 in yearly sales. The expansion will increase fixed costs by $67,200, 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.
Total variable costs | $ |
Total fixed costs | $ |
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.
Unit variable cost | $ |
Unit contribution margin | $ |
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 for the following year. 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
$97,600 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.
$
7. If the proposal is accepted and sales remain
at the current level, what will the income or loss from operations
be for the following year? Enter the final answer rounded to the
nearest dollar.
$ Income
8. Based on the data given, would you recommend accepting the proposal?
Choose the correct answer.
b
Feedback
1. Multiply the percentages for fixed and variable costs by each cost.
2. a. Divide the total variable costs by number of units.
2. b. Sales price per unit minus variable costs per unit equals contribution margin per unit.
3. Fixed costs divided by unit contribution margin equals break-even point.
4. Fixed costs under the proposed program divided by contribution margin equals new break-even point.
5. (Fixed costs + Target profit) divided by unit contribution margin equals sales units.
6. Determine the increase in units by dividing the sales increase by the price per unit. Add the additional revenue and additional fixed costs when calculating:
Sales minus fixed and variable costs equals income from operations.
7. Subtract the additional fixed costs from the operating income.
8. Consider the break-even point and the sales needed for the proposed level.
Learning Objective 2, Learning Objective 3. NEED HELP WITH Last 2 questions