Break-Even Sales Under Present and Proposed Conditions Battonkill Company, opera
ID: 2425766 • Letter: B
Question
Break-Even Sales Under Present and Proposed Conditions
Battonkill Company, operating at full capacity, sold 99,700 units at a price of $78 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 $624,000 in yearly sales. The expansion will increase fixed costs by $83,200, but will not affect the relationship between sales and variable costs.
Required:
1. Determine for the current year the total fixed costs and the total variable costs.
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
3. Compute the break-even sales (units) for the current year.
units
4. Compute the break-even sales (units) under the proposed program.
units
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $2,810,600 of income from operations that was earned in the current year.
units
6. Determine the maximum income from operations possible with the expanded plant.
$
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?
$ 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 of will increase.
Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales.
Break-Even Sales Under Present and Proposed Conditions Battonkill Company, operating at full capacity, sold 150,400 units at a price of $48 per unit during 2014. Its income statement for 2014 is as follows: Sales $7,219,200 Cost of goods sold 2,560,000 Gross profit $4,659,200 Expenses: Selling expenses $1,280,000 Administrative expenses 768,000 Total expenses 2,048,000 Income from operations $2,611,200 The division of costs between fixed and variable is as follows: Fixed Variable Cost of goods sold 40% 60% Selling expenses 50% 50% Administrative expenses 70% 30% Management is considering a plant expansion program that will permit an increase of $720,000 in yearly sales. The expansion will increase fixed costs by $96,000, but will not affect the relationship between sales and variable costs. Required: 1. Determine for 2014 the total fixed costs and the total variable costs. Total fixed costs $ Total variable costs $ 2. Determine for 2014 (a) the unit variable cost and (b) the unit contribution margin. Unit variable cost $ Unit contribution margin $ 3. Compute the break-even sales (units) for 2014. units 4. Compute the break-even sales (units) under the proposed program. units 5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $2,611,200 of income from operations that was earned in 2014. units 6. Determine the maximum income from operations possible with the expanded plant. $ 7. If the proposal is accepted and sales remain at the 2014 level, what will the income or loss from operations be for 2015? $ SelectIncomeLossItem 10 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 2014 level, the income from operations of will increase. Reject the proposal because the sales necessary to maintain the current income from operations would be below 2014 sales. Choose the correct answer.
Sales $7,776,600 Cost of goods sold 2,756,000 Gross profit $5,020,600 Expenses: Selling expenses $1,378,000 Administrative expenses 832,000 Total expenses 2,210,000 Income from operations $2,810,600Explanation / Answer
Solution.
1. Determine for 2014 the total fixed costs and the total variable costs. Total fixed costs $ Total variable costs $.
2. Determine for 2014
(a) the unit variable cost and
(b) the unit contribution margin.
Sold 150,400 units
contribution margin per unit = 4,659,200.00 / 150,400 units = $30.97.
3. Compute the break-even sales (units) for 2014. units
Contribution margin = 4,659,200.00 / 7,219,200 = 64.53%
Break-even sales = $2,201,600 / 64.53% = $3,411,746.47
4. Compute the break-even sales (units) under the proposed program. units
Contribution margin % = 4,659,200 / 7,939,200 = 58.68%
Break-even sales (units) = $2,297,600 / 58.68% = $3,915,473.75
$3,915,473.75 / $48 = 81,572.36 unit.
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $2,611,200 of income from operations that was earned in 2014. units.
Unit sales = Fixed cost + Desired profit / Contribution margin per unit.
Unit sales =( $2,201,600 + $2,611,200 ) / $30.97.
= $155,402
6. Determine the maximum income from operations possible with the expanded plant. $.
Particulars Amount Fixed Variable Sales 7,219,200.00 Cost of goods sold (2,560,000.00) 1,024,000 1,536,000 Gross profit 4,659,200.00 Selling expenses (1,280,000.00) 640,000 640,000 Administrative expenses (768,000.00) 537,600 230,400 Income from operations 2,611,200.00 2,201,600 2,406,400Related Questions
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