Question

Cover-to-Cover Company is a manufacturer of shelving for books. The company has compiled the following cost data, and wants your help in determining the cost behavior. After reviewing the data, complete requirements (1) and (2) that follow.

Units Produced	Total Lumber Cost	Total Utilities Cost	Total Machine Depreciation Cost
5,000 shelves	$50,000	$7,250	$140,000
10,000 shelves	100,000	13,000	140,000
20,000 shelves	200,000	24,500	140,000
25,000 shelves	250,000	30,250	140,000

1. Determine whether the costs in the table are variable, fixed, mixed, or none of these.

Lumber	Variable Cost
Utilities	Mixed Cost
Depreciation	Fixed Cost

2. For each cost, determine the fixed portion of the cost, and the per-unit variable cost. If there is no amount or an amount is zero, enter "0". Recall that, for N = Number of Units Produced, Total Costs = (Variable Cost Per Unit x N) + Fixed Cost. Complete the following table with your answers. Round variable portion of cost (per unit) answers to two decimal places.

Cost	Fixed Portion of Cost	Variable Portion of Cost (per Unit)
Lumber	$	$
Utilities
Depreciation

Feedback

Review the definitions for fixed, variable, and mixed costs, and the relationships between units produced and total cost for each type of cost. Recall that the high-low method may be used to separate a cost into its fixed and variable components.

High-Low

Biblio Files Company is the chief competitor of Cover-to-Cover Company in the bookshelf business. Biblio Files is analyzing its manufacturing costs, and has compiled the following data for the first six months of the year. After reviewing the data, answer questions (1) through (3) that follow.

	Units Produced		Total Cost
January	4,360	units	$65,600
February	275		6,250
March	1,000		15,000
April	6,775		136,250
May	1,750		32,500
June	3,015		48,000

1. From the data previously provided, help Biblio Files Company estimate the fixed and variable portions of its total costs using the high-low method. Recall that Total Costs = (Variable Cost Per Unit x Number of Units Produced) + Fixed Cost. Complete the following table.

Total Fixed Cost	Variable Cost per Unit
$	$

2. With your Total Fixed Cost and Variable Cost per Unit from the high-low method, compute the total cost for the following values of N (Number of Units Produced).

Number of Units Produced	Total Cost
3,500	$
4,360
6,775

3. Why does the total cost computed for 4,360 units not match the data for January?

a. The high-low method is accurate only for months in which production is at full capacity.

b. The high-low method only gives accurate data when fixed costs are zero.

c. The high-low method gives a formula for the estimated total cost and may not match levels of production other than the highest and lowest.

d. The high-low method gives accurate data only for levels of production outside the relevant range.

a

Feedback

Review the high-low method, and use the smallest and largest levels of production in your computation.

Contribution Margin

Review the contribution margin income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statements. Complete the following table from the data provided on the income statements. Each company sold 84,800 units during the year.

	Cover-to-Cover Company	Biblio Files Company
Contribution margin ratio (percent)	%	%
Unit contribution margin	$	$
Break-even sales (units)
Break-even sales (dollars)	$	$

Feedback

Review the definitions of contribution margin ratio and unit contribution margin. Also review the formulas for break-even in terms of units sold and sales dollars.

Income Statement - Cover-to-Cover

Cover-to-Cover Company Contribution Margin Income Statement For the Year Ended December 31, 20Y8
Sales		$424,000
Variable costs:
Manufacturing expense	$254,400
Selling expense	21,200
Administrative expense	63,600	(339,200)
Contribution margin		$84,800
Fixed costs:
Manufacturing expense	$5,000
Selling expense	4,000
Administrative expense	12,200	(21,200)
Operating income		$63,600

Income Statement - Biblio Files

Biblio Files Company Contribution Margin Income Statement For the Year Ended December 31, 20Y8
Sales		$424,000
Variable costs:
Manufacturing expense	$169,600
Selling expense	16,960
Administrative expense	67,840	(254,400)
Contribution margin		$169,600
Fixed costs:
Manufacturing expense	$88,000
Selling expense	8,000
Administrative expense	10,000	(106,000)
Operating income		$63,600

Sales Mix

Biblio Files Company is making plans for its next fiscal year, and decides to sell two new types of bookshelves, Basic and Deluxe. The company has compiled the following estimates for the new product offerings.

Type of Bookshelf	Sales Price per Unit	Variable Cost per Unit
Basic	$5.00	$1.75
Deluxe	9.00	8.10

The company is interested in determining how many of each type of bookshelf would have to be sold in order to break even. If we think of the Basic and Deluxe products as components of one overall enterprise product called “Combined,” the unit contribution margin for the Combined product would be $2.31. Fixed costs for the upcoming year are estimated at $325,710. Recall that the totals of all the sales mix percents must be 100%. Determine the amounts to complete the following table.

Type of Bookshelf	Percent of Sales Mix	Break-Even Sales in Units	Break-Even Sales in Dollars
Basic	%		$
Deluxe	%		$

Feedback

Review the definition of break-even point.

Recall that the Combined unit contribution margin is given by [(Basic unit contribution margin) x (Basic percent of sales mix)] + [(Deluxe unit contribution margin) x (Deluxe percent of sales mix)]. Since these percents must add up to 100%, we have the following:

(Basic percent of sales mix) + (Deluxe percent of sales mix) = 100%, so that

(Deluxe percent of sales mix) = 100% - (Basic percent of sales mix)

Target Profit

Refer again to the income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statement. Note that both companies have the same sales and net income. Answer questions (1) - (3) that follow, assuming that all data for the coming year is the same as the current year, except for the amount of sales.

1. If Cover-to-Cover Company wants to increase its profit by $40,000 in the coming year, what must their amount of sales be?
$

2. If Biblio Files Company wants to increase its profit by $40,000 in the coming year, what must their amount of sales be?
$

3. What would explain the difference between your answers for (1) and (2)?

a. Biblio Files Company has a higher contribution margin ratio, and so more of each sales dollar is available to cover fixed costs and provide operating income.

b. Cover-to-Cover Company’s contribution margin ratio is lower, meaning that it’s more efficient in its operations.

c. The companies have goals that are not in the relevant range.

d. The answers are not different; each company has the same required sales amount for the coming year to achieve the desired target profit.

Answer 1

12 1. Determine whether the costs in the table are variable, fixed, mixed, or none of these. 14 15 16 Lumber Utilities Depreciation Variable Cost Mixed Cost Fixed Cost 2. For each cost, determine the fixed portion of the cost, and the per-unit variable cost. High Low Method Difference in Total Utilities Costs Difference In Units Produced High level of activity Low level of activity Change in activity Number of Units produced (A) 25000 5000 20000 Total Utilities Costs (B) 30250 7250 23000 Variable Cost ( BIA) 1.15 Per Units produced Determine the fixed cost component using the high-low method Number of Units produced Total Utility Costs Less Variable component (25000*1.15) Fixed component 25,000 30,250 28,750 1,500 5,000 7,250 5,750 (5000*1.15) 1,500

Cost Fixed Portion of Cost Variable Portion of Cost (per Unit) 10 Lumber Utilities Depreciation 1.15 1,500 140000 41 42

54 1. From the data previously provided, help Biblio Files Company estimate the fixed and variable portions of its total costs using the high-low method. High Low Method Difference in Total Costs Difference In Units Produced High level of activity Low level of activity Change in activity Number of Units produced (A) Total Costs (B) 4360 65600 275 6250 4085 59350 Variable Cost ( BIA) 14.53 Per Units produced Determine the fixed cost component using the high-low method Number of Units produced Total Costs Less Variable component (4360*14.53) Fixed component 4,360 65,600 63,345 2,255 275 6,250 3,995 (275*14.53) 2,255 Total Fixed Cost Variable Cost per Unit 14.53 2,255

76 2. With your Total Fixed Cost and Variable Cost per Unit from the high-low method, compute the total cost for the following values of N 77 78 Number of Units Produced Total Cost 79 3500 53,110 (2255+3500*14.53) 80 4360! 65,605 (2255+4360*14.53) 81 6775 100,695 (2255+6775*14.53) 82 83 3. Why does the total cost computed for 4,360 units not match the data for January? 84 85 c. The high-low method gives a formula for the estimated total cost and may not match levels of production other than the highest and lowest.