Question

In: Accounting

I'll rate do not skip any parts please if you can't do don't do at all...

I'll rate do not skip any parts please if you can't do don't do at all pass it to someone else don't waste my question thanks ( I need all answers Cost behavior, High low, contribution margin, Sales mix, target profit Etc)

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 Total Total Total Machine
Produced Lumber Cost Utilities Cost Depreciation Cost
13,000 shelves $156,000 $15,950 $145,000
26,000 shelves $312,000 $30,900 $145,000
52,000 shelves $624,000 $60,800 $145,000
65,000 shelves $780,000 $75,750 $145,000

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

Variable Cost

Fixed Cost

Mixed Cost

None of these

Lumber
Utilities
Depreciation

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.

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

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.

Month Number of Units Produced Total Cost
January 4,360 $65,600
February 250 $6,250
March 1,000 $15,000
April 5,250 $56,250
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 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 Costs
3,500
4,360
5,250

3. Why does the total cost computed for 4,360 units not match the data for January in the table at the top of this panel?

The High-Low method gives accurate data only for levels of production outside the relevant range.

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.

The High-Low method is accurate only for months in which production is at full capacity.

The High-Low method only gives accurate data when fixed costs are zero.

Contribution Margin

Review the contribution margin income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statements panels. Complete the following table from the data provided in 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)

Income Statement - Cover-to-Cover

Cover-to-Cover Company

Contribution Margin Income Statement

For the Year Ended December 31

1

Sales

$424,000.00

2

Variable costs:

3

Manufacturing

$212,000.00

4

Selling

21,200.00

5

Administrative

63,600.00

296,800.00

6

Contribution margin

127,200.00

7

Fixed Costs:

8

Manufacturing

$5,000.00

9

Selling

4,000.00

10

Administrative

54,600.00

63,600.00

11

Income from operations

$63,600.00

Income Statement - Biblio Files

Biblio Files Company

Contribution Margin Income Statement

For the Year Ended December 31

1

Sales

$424,000.00

2

Variable costs:

3

Manufacturing

$169,600.00

4

Selling

16,960.00

5

Administrative

33,920.00

220,480.00

6

Contribution margin

203,520.00

7

Fixed Costs:

8

Manufacturing

$121,920.00

9

Selling

8,000.00

10

Administrative

10,000.00

139,920.00

11

Income from operations

$63,600.00

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 $346,962. 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

Target Profit

Refer again to the income statements for Cover-to-Cover Company and Biblio Files Company on their respective Income Statement panels. 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. If required, round answers to the nearest dollar.

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)?

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

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

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

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

Solutions

Expert Solution

Cost Behaviour

1

Variable Cost Fixed Cost Mixed Cost None of these
Lumber Yes (Since the variable cost per unit of every units produced are same i.e. $12 per unit)
Utilities Yes
Depreciation Yes (Since cost of every Production is same)

2

Cost Fixed Portion of Cost Variable Portion of Cost(Per Unit)
Lumber 0 $12
Utilities $1000 $1.15
Depreciation $145,000 0

Calculation for Utilities

Semi-variable cost= Difference in Utilities cost/Difference in Units produced

Semi-variable cost=$60,800-$30,900/52,000-26,000

Semi-variable cost=$29,900/26,000=$1.15 per unit

Fixed Portion=$30,900-(26,000*$1.15)=$1,000

High Low

1

Total Fixed Cost Variable Cost per unit
$3750 $10

Calculation of Variable cost per unit

Variable cost per unit=Total cost at highest levelof activity-total cost at lowest level of activity/number of units at highest level of activity-number of units at lowest level of activity

=$56,250-$6,250/5,250-250=$50,000/5000=$10 per unit

Total Fixed Cost=Total Cost-Total Variable cost=$56,250-(5250*$10)=$3750

2

No. of units produced Total Cost
3500 =$3750+($10*3500)=$38,750
4360 =$3750+($10*4360)=$47,350
5250 =$3750+($10*5250)=$56250

3

The High-Low Method gives formula for the estimated total cost and may not match levels of production other than the highest and the lowest.

Contribution Margin

1

Cover-to-Cover Company Biblio Files Company
Contribution margin ratio(Percent)

(Contribution/Sales)*100

=($127,200/$424,000)*100

=30%

(Contribution/Sales)*100

=($203,520/$424,000)*100

=48%

Unit contribution margin Contribution/Unit=$127,200/84,800=$1.5 =$203,520/84,800=$2.4
Break-even sales(units) Fixed Cost/Contribution per unit =$63,600/$1.5=42,400 =$139,920/$2.4=58,300
Break-even sales (dollars)

Fixed Cost/Profit Volume Ratio

=$63,600/30%=$212,000

=$139,920/48%=$291,500

Sales Mix

Type of Bookshelf Percentage of Sales Mix Break Even Sales (Units) Break Even Sales (Dollars)
Basic 60% 90120 $450600
Deluxe 30% 60080 $540720

Working Note:

Let the required type of bookshelf to be produced for each type i.e Basic and Deluxe be X units and Y units respectively in order to be break even.

The combined contribution per unit is $2.31 per unit. The Fixed cost is $346962.

Therefore, required combined units for break even is $346962/$2.31= 150200 units.

Now, the contribution per unit of Basic and Deluxe bookshelf are as follows:

Basic= $(5-1.75)= $ 3.25 per unit.

Deluxe= $ (9-8.1)= $0.90 per unit.

We can frame the following equation: X+Y= 150200………………….. (1).

3.25X+0.90Y=346962………….. (2).

By solving

From equation 1

X=150200-Y

By putting the value of X in equation 2 we get

3.25*(150200-Y)+ 0.90Y= 346962

488150-3.25Y+0.90Y=346962

141188=2.35Y

Y= 60080 units

Now, X= (150200-60080)= 90120 units

Break Even Sales (Units)

Basic=90120 units and

Delux=60080 units

Break Even Sales (Dollars)

Basic=Break Even Sales(Units)*Sales Price per unit=90120*$5=$450600

Delux=60080*$9=$540720

Percentage of Sales Mix

Basic=Baisc units/Total units*100=90120/150200*100=60%

Delux=Delux units/Total units*100=60080/150200*100=40%

Target Profit

1. Cover-to-to Company

Sales=Required Contribution/Profit Volume Ratio

Required contribution=Fixed Cost+Profit=$63,600+$103,600=$167,200

Sales=$167,200/30%=557,333.33

2. Biblio Files Company

Sales=Required Contribution/Profit Volume Ratio

Required contribution=Fixed Cost+Profit=$139,920+$103,600=$243,520

Sales=$243,520/48%=507,333.33

3. Biblio Files Company has a higher contribution margin ratio and so more of each sales $ is available to cover Fixed Cost and provide income from operations.


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