Break-Even Sales Under Present and Proposed Conditions Darby Company, operating at full capacity, sold 500,000 units at a price of $94 per unit during the current year. Its income statement is as follows: Sales $47,000,000 Cost of goods sold 25,000,000 Gross profit $22,000,000 Expenses: Selling expenses $4,000,000 Administrative expenses 3,000,000 Total expenses 7,000,000 Income from operations $15,000,000 The division of costs between variable and fixed 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 for the following year that will permit an increase of $3,760,000 in yearly sales. The expansion will increase fixed costs by $1,800,000 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. Total variable costs $fill in the blank 1 Total fixed costs $fill in the blank 2 2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Unit variable cost $fill in the blank 3 Unit contribution margin $fill in the blank 4 3. Compute the break-even sales (units) for the current year. fill in the blank 5 units 4. Compute the break-even sales (units) under the proposed program for the following year. fill in the blank 6 units 5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $15,000,000 of income from operations that was earned in the current year. fill in the blank 7 units 6. Determine the maximum income from operations possible with the expanded plant. $fill in the blank 8 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? $fill in the blank 9 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.

Break-Even Sales Under Present and Proposed Conditions Darby Company, operating at full capacity, sold 500,000 units at a price of $94 per unit during the current year. Its income statement is as follows: Sales $47,000,000 Cost of goods sold 25,000,000 Gross profit $22,000,000 Expenses: Selling expenses $4,000,000 Administrative expenses 3,000,000 Total expenses 7,000,000 Income from operations $15,000,000 The division of costs between variable and fixed 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 for the following year that will permit an increase of $3,760,000 in yearly sales. The expansion will increase fixed costs by $1,800,000 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. Total variable costs $fill in the blank 1 Total fixed costs $fill in the blank 2 2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Unit variable cost $fill in the blank 3 Unit contribution margin $fill in the blank 4 3. Compute the break-even sales (units) for the current year. fill in the blank 5 units 4. Compute the break-even sales (units) under the proposed program for the following year. fill in the blank 6 units 5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $15,000,000 of income from operations that was earned in the current year. fill in the blank 7 units 6. Determine the maximum income from operations possible with the expanded plant. $fill in the blank 8 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? $fill in the blank 9 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.

Survey of Accounting (Accounting I)

8th Edition

ISBN:9781305961883

Author:Carl Warren

Publisher:Carl Warren

Chapter11: Cost-volume-profit Analysis

Section: Chapter Questions

Problem 11.2.1P: Break-even sales under present and proposed conditions Kearney Company, operating at full capacity,...

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Question

Break-Even Sales Under Present and Proposed Conditions

Darby Company, operating at full capacity, sold 500,000 units at a price of $94 per unit during the current year. Its income statement is as follows:

Sales		$47,000,000
Cost of goods sold		25,000,000
Gross profit		$22,000,000
Expenses:
Selling expenses	$4,000,000
Administrative expenses	3,000,000
Total expenses		7,000,000
Income from operations		$15,000,000

The division of costs between variable and fixed 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 for the following year that will permit an increase of $3,760,000 in yearly sales. The expansion will increase fixed costs by $1,800,000 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.

Total variable costs	$fill in the blank 1
Total fixed costs	$fill in the blank 2

2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.

Unit variable cost	$fill in the blank 3
Unit contribution margin	$fill in the blank 4

3. Compute the break-even sales (units) for the current year.
fill in the blank 5 units

4. Compute the break-even sales (units) under the proposed program for the following year.
fill in the blank 6 units

5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $15,000,000 of income from operations that was earned in the current year.
fill in the blank 7 units

6. Determine the maximum income from operations possible with the expanded plant.
$fill in the blank 8

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?
$fill in the blank 9

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.

Expert Solution

Step 1

Required formula for calculating the given problem

Unit variable cost: total variable cost/number of units
Unit contribution Margin : contribution/ sales
Break even point(units) : Fixed cost/ contribution margin per unit
Determined sales units: (new fixed cost + Desired income)/ Contribution Margin
Maximum income from operation: Total new sales – Total variable cost- fixed cost

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