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Cover-to-Cover Company is a manufacturer of shelving for books. The company has

ID: 2440005 • Letter: C

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

Total

Total

Total Machine

Produced

Lumber Cost

Utilities Cost

Depreciation Cost

4,000 shelves

$48,000

$5,600

$130,000

8,000 shelves

$96,000

$10,200

$130,000

16,000 shelves

$192,000

$19,400

$130,000

20,000 shelves

$240,000

$24,000

$130,000

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 $ $

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

225

$6,250

March

1,000

$15,000

April

5,475

$111,250

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

5,025

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 a formula for the estimated total cost and may not match levels of production other than the highest and lowest.

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

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

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

Units

Total

Total

Total Machine

Produced

Lumber Cost

Utilities Cost

Depreciation Cost

4,000 shelves

$48,000

$5,600

$130,000

8,000 shelves

$96,000

$10,200

$130,000

16,000 shelves

$192,000

$19,400

$130,000

20,000 shelves

$240,000

$24,000

$130,000

Explanation / Answer

Answers

Working:

Working #1 Lumber Cost

Number of shelves

Total Cost

[A]

[B]

[C = B/A]

4,000 shelves

$                        48,000.00

$                           12.00

8,000 shelves

$                        96,000.00

$                           12.00

16,000 shelves

$                     192,000.00

$                           12.00

20,000 shelves

$                     240,000.00

$                           12.00

Working #2: Utilities Cost

Working

No. of shelves

Total Cost

Variable cost per shelve

[A]

[B]

[C = B/A]

A

Produced

4000

$           5,600.00

B

Produced

8000

$        10,200.00

C= B - A

Increase in shelve and cost

4000

$           4,600.00

$               1.15

D

Produced

16000

$        19,400.00

E = D - B

Increase in shelve and cost

8000

$           9,200.00

$               1.15

F

Produced

20000

$        24,000.00

G = F - D

Increase in shelve and cost

4000

$           4,600.00

$               1.15

----Requirement 1

Variable Cost

Fixed Cost

Mixed Cost

None of these

Lumber

Its all Variable cost because per shelve Lumber cost is always $ 12

Utilities

It’s a mixed cost because total cost is increasing when no. of shelves are increasing but the increase is not at a constant rate

Depreciation

It’s a fixed cost because the total cost is not changing when no. of shelves are increasing

---Requirement 2

Fixed Portion of Cost

Variable Portion of cost (per unit)

Lumber

$                        -  

$                 12.00

Utilities

$           1,000.00

$                   1.15

Depreciation

$      130,000.00

$                        -  

Working

Months

Units

Cost

High Level

April

5475

$ 111,250.00

Low Level

February

225

$      6,250.00

Difference

5250

$ 105,000.00

Difference in Cost

$                                 105,000.00

Difference in units

5250

Variable cost per unit

$                                           20.00

Working

High Level

Low Level

A

Total Cost

$   111,250.00

$      6,250.00

B

Total Units

5475

225

C

Variable cost per unit

$              20.00

$            20.00

D = B x C

Total Variable cost

$   109,500.00

$      4,500.00

E = A - D

Total Fixed Cost

$        1,750.00

$      1,750.00

----Requirement 1:

Total Fixed Cost = $ 1,750
Variable cost per unit = $ 20 per unit.

----Requirement 2:

Number of Units

Variable cost per unit

Total Variable cost

Fixed Cost total

Total COST

[A]

[B = $20]

[C = A x B]

[D]

[E = C+D]

3500

$      20.00

$       70,000.00

$      1,750.00

$    71,750.00

4360

$      20.00

$       87,200.00

$      1,750.00

$    88,950.00

5025

$      20.00

$     100,500.00

$      1,750.00

$ 102,250.00

---Requirement 3

The total cost computed for 4,360 units not match the data for January in the table at the top of this panel BECAUSE:

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.

Working #1 Lumber Cost

Number of shelves

Total Cost

[A]

[B]

[C = B/A]

4,000 shelves

$                        48,000.00

$                           12.00

8,000 shelves

$                        96,000.00

$                           12.00

16,000 shelves

$                     192,000.00

$                           12.00

20,000 shelves

$                     240,000.00

$                           12.00