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 72,900 units at a price of $135 per unit during the current year. Its income statement for the current year is as follows:
Sales $9,841,500
Cost of goods sold 4,860,000
Gross profit $4,981,500
Expenses:
Selling expenses $2,430,000
Administrative expenses 2,430,000
Total expenses 4,860,000
Income from operations $121,500
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 $945,000 in yearly sales. The expansion will
increase fixed costs by $94,500, 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 $121,500 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.
$
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.
$
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.
Question 1
Cost of Goods Sold = $ 48,60,000
Variable Costs of Goods Sold = 48,60,000 * 70% = $ 34,02,000
Fixed Costs of Goods Sold = 48,60,000 * 30% = $ 14,58,000
Selling Expense = $ 24,30,000
Variable Selling Expenses = 75% of 24,30,000 = $ 18,22,500
Fixed Selling Expenses = 25% of 24,30,000 = $ 607,500
Administrative Expenses = $ 24,30,000
Variable Administrative Expenses = 50% of 24,30,000 = $ 12,15,000
Fixed Admisnistrative Expense = 50% of 24,30,000 = $ 12,15,000
Total Variable Expenses = Variable Cost of Goods Sold + Variable Selling Expenses + Variable Administrative Expenses
Total Variable Expenses = 34,02,000 + 18,22,500 + 12,15,000
Total Variable Costs = $ 64,39,500
Total Fixed Expenses = Fixed Cost of Goods Sold + Fixed Selling Expenses + ExpenFixed Administrativeses
Total Fixed Expenses = 14,58,000 + 6,07,500 + 12,15,000
Total Fixed Costs = $ 32,80,500
Question 2
Variable Costs per Unit = Total Variable Costs / Total Units
Variable Costs per Unit = 64,39,500 / 72,900
Variable Costs per Unit = $ 88.33
Contribution Margin per Unit = Sales Price per Unit - Variable Costs per Unit
Contribution Margin per Unit = 135 - 88.33
Contribution Margin per Unit = $ 46.67
Question 3
Break Even Point in Units = Total Fixed Costs / Contribution Margin per Unit
Break Even in Units = 32,80,500 / 46.67
Break Even Point in Units = 70,291 Units
Question 4
Break Even Point in Units = Total Fixed Costs / Contribution Margin per Unit
Total Fixed Costs = 32,80,500 + 94,500 (Additional Fixed Costs )
Total Fixed Costs = $ 33,75,000
Break Even Point in Units = 33,75,000 / 46.67
Break Even Point in Units = 72,316 Units
Question 5
Contribution Margin to earn Operating Income of $ 121,500 in proposed program = Fixed Cost Propwith Newosed + Operating Income of 121,500
Fixed Costs with New Proposed Program = $ 33,75,000
Contribution Margin to earn Operating Income of $ 121,500 = 33,75,000 + 121,500 = $ 34,96,500
Units to be sold to earn Contribution Margin of $ 34,96,500 = 34,96,500 / Contribution Margin per Unit
Unit to be Sold ro earn Contribution Margin of $ 34,96,500 = 34,96,500 / 46.67 =
= 74,920 Units
To Earn $ 121,500 under Proposed Program 74,920 units are required to be yoldt.
Question 6
Maximum Income from Operation from Proposed Program = Total Sales - Total Variable Costs - Total Fixed Costs
Total Fixed Costs = 33,75,000
Total Sales = 98,41,500 + 9,45,000 (Additional Sales ) = $ 1,07,86,500
Total Variable Costs = 88.33 per Unit * 79,900 Units = $ 70,57,567
Maximum Income from Operation = 1,07,86,500 - 70,57,567 - 33,75,000
Maximum Income from Operation =$ 3,53,933
Note
Total Units = 72,900 + 7,000 Unit = 79,900 Units
ADDITIONAL Unit's = 945,000 / $ 135 per Unit = 7,000 Units
Question 7
No Increase in Sale and Variable Costs
Income / (Loss) from Operation = Total Sales - Total Variable Costs - Total Fixed Costs
Total Fixed Costs = 33,75,000
Total Sales = 98,41,500
Total Variable Costs = $ 64,39,500
Income / (Loss) from Operation = 98,41,500 - 64,39,500 - 33,75,000
Income / (Loss) from Operation = $ 27,500
Question 8
In favour of the proposal because of the possibility of increasing Income from Operations.
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