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 125,550 units at a price of $126 per unit during the current year. Its income statement for the current year is as follows:
Sales | $15,819,300 | ||
Cost of goods sold | 7,812,000 | ||
Gross profit | $8,007,300 | ||
Expenses: | |||
Selling expenses | $3,906,000 | ||
Administrative expenses | 3,906,000 | ||
Total expenses | 7,812,000 | ||
Income from operations | $195,300 |
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 $1,386,000 in yearly sales. The expansion will increase fixed costs by $138,600, 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
$195,300 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?
In favor of the proposal because of the reduction in break-even point.
In favor of the proposal because of the possibility of increasing income from operations.
In favor of the proposal because of the increase in break-even point.
Reject the proposal because if future sales remain at the current level, the income from operations will increase.
Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales.
Choose the correct answer.
b
Ans. 1 Calculation of Total variable cost and fixed cot
Variable cost fixed cost
COGS (70:30) 5468400 2343600
Admn Exp. (75:25) 2929500 976500
Selling cost (50:50) 1953000 1953000
Total cost 10350900 5273100
Current Year total variable cost = $10350900
Current year total fixed cost = $5273100
2. Current year variable cost per unit = $10350900/125550 = 82.44
contribution per unit (126-82.44)= $43.56
PV ratio = 43.56/126X100 = 34.57%
3. Computation of break sales in unit for the current year
Break even sales = Total fixed cost/contribution per unit
= 5273100/43.56 = 121054 units
4. Calculation of Break even point after under the propsed program
Existing Fixed cost = 5273100
Add: Increase fixed cost = 138600
Total fixed cost = 5411700
PV ratio is remain same so Variable cost per unit is also same as previous 82.44 per unit and Contribution margin per unit is $43.56
Break Even point = 5411700/43.56 = 124236 units
5. Computation of desired sales if desired operating profit is $195300
Desired sales in unit = Fixed cost+desired profit
Contribution per unit
= (5411700+195300)/43.56 = 128719
6. Calculation of Maximum income possible with the expanded plant
Existing Unit = 125550
Increase unit due to expanded = 1100
(138600/126)
Total no of unit sales after expanded= 126650
Contribution per unit = $43.56
Income statement
Revenue (126650X126) = 15957900
Contribution (126650X43.56) = 5516874
Less: Fixed cost = 5411700
Net Income after expanded = 105174
7. If the proposal is accepted and sales is remain current level. calculation of income or loss
Existing no of unit sales = 125550
Contribution margin (125550X43.56) = 5468958
Fixed cost = (5411700)
Net income after expanded = 57258
8. Comment: Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales.