Darby Company, operating at full capacity, sold 124,200 units at a price of $84 per unit during the current year. Its income statement is as follows: Sales $10,432,800 Cost of goods sold 3,696,000 Gross profit $6,736,800 Expenses: Selling expenses $1,848,000 Administrative expenses 1,120,000 Total expenses 2,968,000 Income from operations $3,768,800 The division of costs between variable and fixed is as follows: Variable Fixed Cost of goods sold 60% 40% Selling expenses 50% 50% Administrative expenses 30% 70% Management is considering a plant expansion program for the following year that will permit an increase of $924,000 in yearly sales. The expansion will increase fixed costs by $123,200, but will not affect the relationship between sales and variable costs. 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

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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Question

Darby Company, operating at full capacity, sold 124,200 units at a price of $84 per unit during the current year. Its income statement is as follows:

Sales		$10,432,800
Cost of goods sold		3,696,000
Gross profit		$6,736,800
Expenses:
Selling expenses	$1,848,000
Administrative expenses	1,120,000
Total expenses		2,968,000
Income from operations		$3,768,800

The division of costs between variable and fixed is as follows:

	Variable	Fixed
Cost of goods sold	60%		40%
Selling expenses	50%		50%
Administrative expenses	30%		70%

Management is considering a plant expansion program for the following year that will permit an increase of $924,000 in yearly sales. The expansion will increase fixed costs by $123,200, but will not affect the relationship between sales and variable costs.

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

Expert Solution

Step 1

	Variable costs	$Fixed costs
Cost of goods sold (3,696,000 in 60:40)	$2217600	1478400
Selling expenses (1,848,000 in 50:50)	924000	924000
Administrative expenses (1,120,000 in 30:70)	336000	784000
Total	$3477600	$3186400