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What are the different classifications of costs?




. Direct Materials:

  • Definition: These are raw materials that are directly traceable to the production of the finished product. They become a physical part of the product being manufactured.

  • Example: The hard drive installed in a computer.

2. Direct Labor:

  • Definition: Direct labor includes wages and salaries paid to workers who are directly involved in manufacturing the product. These costs can be directly traced to individual units of production.

  • Example: The wages of employees who assemble the computers.

3. Manufacturing Overhead:

  • Definition: Manufacturing overhead includes all indirect costs associated with manufacturing that are not directly traceable to specific units of production. This can include indirect materials, indirect labor, and other factory-related costs such as depreciation, utilities, and rent.

  • Example: Depreciation on equipment used to test computers or the salary of the assembly shop’s supervisor.

4. Selling Costs:

  • Definition: Selling costs are expenses incurred to secure customer orders and get the product into the hands of customers. These costs are related to marketing, advertising, and sales functions.

  • Example: Advertising expenses and sales commissions paid to salespeople.

5. Administrative Costs:

  • Definition: Administrative costs are expenses incurred for the general management of the business. These are not directly tied to manufacturing or selling the product but are essential to running the business.

  • Example: The salary of the company’s accountant or other general office expenses.



  1. Post the above transactions to T-accounts.

  2. Determine the adjusted cost of goods sold for the period.



  1. a. Raw Materials(RM)

Raw Materials

Debit ($)

Credit ($)

a.Purchased RM

94,000


b. Used RM


89,000

Ending balance


5,000

Explanation: $94,000 worth of raw materials were purchased (Debit). $89,000 were used in production (Credit), leaving a remaining ending balance of $5,000.


b. Wages

Wages Payable

Debit ($)

Credit ($)

c.Direct labor


112,000

c.Indirect labor


20,000

Ending balance

132,000


Explanation: $132,000 in labor costs were incurred, with $112,000 for direct labor (Credit) and $20,000 for indirect labor (Credit).


c. Work in Process(WIP)

WIP

Debit ($)

Credit ($)

b. Direct materials

78,000


c. Direct labor

112,000


e. Manufacturing overhead

152,000


f. Jobs in Process


342,000

Explanation: Work in Progress (WIP) is charged with direct materials ($78,000), direct labor ($112,000), and applied overhead ($152,000).Total costs transferred to finished goods: $342,000.


d.Finished Goods

To adjust for underapplied or overapplied overhead:

  1. Actual Overhead:

    • Indirect materials = $11,000

    • Indirect labor = $20,000

    • Other overhead = $143,000

    • Total actual overhead = $174,000

  2. Applied Overhead = $152,000

  3. Difference = $174,000 - $152,000 = $22,000 underapplied

Since the overhead was underapplied, add this difference to Cost of Goods Sold.

Adjusted COGS=Unadjusted COGS+Underapplied Overhead

Adjusted COGS=342,000+22,000=364,000


Finished Goods

Debit ($)

Credit ($)

f. Transferred from WIP

342,000


h. Underapplied or overapplied overhead

22,000


Total production cost

364,000


Explanation: Finished goods are charged with $342,000 (transferred from WIP). An additional $22,000 is added due to overapplied overhead. Total: $364,000.



2.

Adjusted COGS

=COGS (before adjustment)+Underapplied Overhead

=342,000+22,000=364,000


  1. Prepare a schedule of cost of goods manufactured for the month.

  2. Prepare a schedule of cost of goods sold for the month. Assume the underapplied or overapplied overhead is closed to Cost of Goods Sold.


  1. RM

Raw Materials

Debit ($)

Credit ($)

Beginning balance

12,000


Purchased material

30,000


Used Material


24,000

Ending balance


18,000

Explanation: The beginning inventory is $12,000. Purchases of $30,000 are added. $24,000 are used in production, of which $5,000 are indirect materials. The ending inventory is therefore $18,000.

  1. WIP

WIP

Debit ($)

Credit ($)

Beginning balance

56,000


Direct materials

19,000


Direct labor

58,000


Applied overhead

87,000


Transferred to finished goods


155,000

Ending balance


65,000

Explanation: The beginning inventory is $56,000. Direct materials, direct labor, and applied manufacturing overhead are added. The ending inventory is $65,000.

  1. FG

Finished Goods

Debit ($)

Credit ($)

Beginning balance

35,000


Transferred from WIP

155,000


Transferred to COGS


148,000

Ending balance


42,000

Explanation: The beginning inventory is $35,000. An additional $155,000 is transferred from WIP, and finally, $148,000 is transferred to Cost of Goods Sold. The ending inventory is $42,000.


COGM

Beginning RM

$12,000

+purchase RM

$30,000

= RM available

$42,000

- end. RM

$(18,000)

=RM used in production

$24,000

-Indirect materials (included in overhead)

$(5,000)

=Direct materials

$19,000

+Direct labor

$58,000

+Applied manufacturing overhead

$87,000

=Total manufacturing costs

$164,000

+Beg. WIP

$56,000

-End. WIP

$(65,000)

=COGM

$155,000

Explanation: The calculation starts with the beginning inventories, purchases, and the deduction of the ending balance of raw materials. Then, direct labor and applied overhead are added. Finally, the beginning balance of work in progress is added, and the ending balance is subtracted.


COGS

Beg. FG

$35,000

+COGM

$155,000

=Goods available for sale

$190,000

-End. FG

$(42,000)

=Unadjusted COGS

$148,000

+Underapplied manufacturing overhead

$5,000

=Adjusted COGS

$153,000

Summary:

  • Cost of goods manufactured (COGM): $155,000

  • Adjusted cost of goods sold (COGS): $153,000 If this is the expected value, it indicates that the actual underapplied overhead is indeed $5,000, as described in the task.


EXERCISE 3–5 Journal Entries and T-accounts LO3–1, LO3–2 The Polaris Company uses a job-order costing system.

The following transactions occurred in October:


a. Raw materials purchased on account, $210,000.

b. Raw materials used in production, $190,000 ($178,000 direct materials and $12,000 indirect

materials).

c. Accrued direct labor cost of $90,000 and indirect labor cost of $110,000.

d. Depreciation recorded on factory equipment, $40,000.

e. Other manufacturing overhead costs accrued during October, $70,000.

f. Jobs costing $520,000 according to their job cost sheets were completed during October and transferred to Finished Goods.

g. Jobs that had cost $480,000 to complete according to their job cost sheets were shipped to customers during the month.



1. Prepare journal entries to record the transactions given above.


2. Prepare T-accounts for Manufacturing Overhead and Work in Process. Post the relevant transactions from above to each account. Compute the ending balance in each account, assuming that Work in Process has a beginning balance of $42,000.

a. Raw materials were purchased on account

b. Raw materials were used in production


c. Accrued wages (direct and indirect labor)

d. Depreciation on factory equipment

e. Additional manufacturing overhead costs

f. Transfer of completed jobs to finished goods

g. Delivery of completed jobs to customers


T-Accounts


RM

Debit ($)

Credit($)

Beginning Balance


0

Purchases

210,000


Used in Production (Direct)


178,000

Used in Production (Indirect)


12,000

Ending Balance

20,000


Manufacturing overhead

Debit ($)

Credit($)

Indirect materials

12,000


Indirect labor

110,000


Depreciation

40,000


Other overhead costs

70,000


Applied to WIP


232,000

Total debits

232,000

Total credits

Ending Balance

0


WIP

Debit($)

Credit($)

Beginning Balance

42,000


Direct materials

178,000


Direct labor

90,000


Applied overhead

232,000


Transferred to Finished Goods


520,000

Total debits

542,000

Total credit

Ending Balance

22,000


FG

Debit($)

Credit($)

Beginning Balance


0

Transferred from WIP

520,000


Shipped to Customers (COGS)


480,000

Ending Balance

40,000


Total Manufacturing Costs =Direct Materials+Direct Labor+Manufacturing Overhead

=178,000+90,000+232,000

=500,000

Total Inventory Balance:

Total Ending Inventory =End. RM+End. WIP+End. FG

=20,000+22,000+40,000

=82,000


Prepare schedules of cost of goods manufactured and cost of goods sold and an income statement. (Hint: Prepare the income statement and schedule of cost of goods sold first followed by the schedule of cost of goods manufactured.)

Given Information:

  • Total Manufacturing Costs: $683,000

  • Cost of Goods Available for Sale: $740,000

  • Unadjusted Cost of Goods Sold (COGS): $660,000

  • Net Operating Income: $30,000

  • Underapplied or Overapplied Manufacturing Overhead: Included in the Cost of Goods Sold (COGS)

  • Selling Expenses: $140,000

  • Administrative Expenses: $100,000

Step 1: Calculation of Cost of Goods Sold (COGS)

First, we calculate the adjusted Cost of Goods Sold, considering under- or overapplied manufacturing overhead.

COGS overview


Beginning Finished Goods Inventory

50,000

+COGM

690,000=740,000-50,000

= Goods Available for Sale (COGAS)

740,000

- Ending Finished Goods Inventory (calculated)

(80,000)

= Cost of Goods Sold (COGS)

660,000

Explanation:

The ending finished goods inventory is calculated so that the Goods Available for Sale (COGAS) of $740,000 matches the unadjusted COGS of $660,000.

Thus, the calculation is as follows:

End. FG = Goods Available for Sale−COGS

End. FG = 740,000−660,000=80,000


Step 2: Calculation of Cost of Goods Manufactured (COGM)

The calculation of COGM takes into account the beginning and ending balances of Work in Process (WIP).


COGM overview

Amount ($)

Beg. WIP

42,000

+total manufacturing cost

683,000

=Total Costs of WIP

725,000

-End. WIP

(35,000)

=COGM

690,000

Explanation:

The beginning balance of Work in Process (WIP) is calculated to match the COGM of $690,000 as follows:

Beginning WIP = COGM−Total Manufacturing Costs+Ending WIP

= 690,000−683,000+35,000

= 42,000

Thus, the beginning WIP balance is $42,000.


Step 3: Calculation of Net Sales

Net Sales=COGS+Net Operating Income+Selling Expenses

+Administrative Expenses

Net Sales=660,000+30,000+140,000+100,000

=930,000

Thus, the Net Sales amount to $930,000.


Step 4: Creation of the Income Statement

Net Sales

930,000

-COGS

(660,000)

=Cross margin

270,000

-Selling expense

(140,000)

-administrative expense

(100,000)

=Net Operating Income

30,000

Explanation:

The Gross Margin is $270,000. After deducting Selling Expenses ($140,000) and Administrative Expenses ($100,000), the Net Operating Income is $30,000.


Step 5: T-Accounts for Raw Materials, Work in Process (WIP), and Finished Goods

RM

Debit ($)

Credit ($)

Beginning Balance

40,000


Purchases

290,000


Used in Production


320,000

Ending Balance

10,000


Explanation: The ending balance of raw materials is $10,000.

WIP

Debit ($)

Credit ($)

Beginning Balance

42,000


Direct Materials

320,000


Direct Labor

85,000


Applied Manufacturing Overhead

285,000


Transferred to Finished Goods


690,000

Ending Balance

35,000


Explanation: The ending balance of Work in Process is $35,000



FG

Debit ($)

Credit ($)

Beginning Balance

50,000


Transferred from WIP

690,000


Transferred to COGS


660,000

Ending Balance

80,000


Final Results:

  • Adjusted Cost of Goods Sold (COGS): $660,000

  • Cost of Goods Manufactured (COGM): $690,000

  • Net Sales: $930,000

  • Net Operating Income: $30,000


PROBLEM 3–14 Schedule of Cost of Goods Manufactured; Overhead Analysis LO3–3, LO3–4

Gitano Products operates a job-order costing system and applies overhead cost to jobs on the basis of direct materials used in production (not on the basis of raw materials purchased). Its predetermined overhead rate was based on a cost formula that estimated $800,000 of manufacturing overhead for an estimated allocation base of $500,000 direct material dollars to be used in production. The company has provided the following data for the just completed year:

  1. Compute the predetermined overhead rate for the year.

  2. Compute the amount of underapplied or overapplied overhead for the year.

  3. Prepare a schedule of cost of goods manufactured for the year. Assume all raw materials are used in production as direct materials.

  4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer. What options are available for disposing of underapplied or overapplied overhead?

  5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials.

Given this assumption, supply the information missing below:

Direct materials

$24,000

Direct labor

?

Manufacturing overhead

?

Work in process inventory

$70,000


Step 1: Calculate the Predetermined Overhead Rate

The predetermined overhead rate is calculated as:


Step 2: Compute the Amount of Underapplied or Overapplied Overhead

  1. Total Actual Manufacturing Overhead Incurred:

    Total Actual Overhead

    =170,000 (Indirect Labor)+48,000 (Property Taxes)

    +260,000 (Depreciation)+95,000 (Maintenance)+7,000 (Insurance)

    +180,000 (Rent)

    =760,000

  2. Total Direct Materials Used in Production:

    Direct Materials Used = Beg. RM+Purchase-End. RM

    Direct Materials Used = 20,000+510,000−80,000

    = 450,000

  3. Applied Overhead:

    App. Overhead = Direct Materials Used×Pre. Overhead Rate

    App. Overhead = 450,000×1.6 = 720,000

  4. Underapplied or Overapplied Overhead:

    Under./Overapp.Overhead = T.A. Overhead−App.Overhead Under./Overapp.Overhead = 760,000−720,000

    = 40,000 (Underapplied)

    Conclusion: There is $40,000 of underapplied overhead.

Step 3: Schedule of Cost of Goods Manufactured (COGM)

Description

Amount ($)

Beginning Work in Process Inventory

150,000

+ Direct Materials Used

450,000

+ Direct Labor

90,000

+ Applied Manufacturing Overhead

720,000

= Total Manufacturing Costs

1,410,000

- Ending Work in Process Inventory

(70,000)

= Cost of Goods Manufactured (COGM)

1,340,000

Explanation: The beginning WIP of $150,000 is added to the total manufacturing costs (including direct materials, direct labor, and applied overhead) and then adjusted for the ending WIP balance to find the COGM of $1,340,000.

Step 4: Calculation of Unadjusted Cost of Goods Sold (COGS)

Description

Amount ($)

Beginning Finished Goods Inventory

260,000

+ Cost of Goods Manufactured (COGM)

1,340,000

= Goods Available for Sale

1,600,000

- Ending Finished Goods Inventory

(400,000)

= Unadjusted Cost of Goods Sold (COGS)

1,200,000

Explanation: The COGS is calculated by adding the beginning FG inventory to the COGM and then subtracting the ending FG inventory, giving an unadjusted COGS of $1,200,000.


Step 5: Calculation of Missing Direct Labor and Overhead in WIP Inventory

Given:

  • Ending WIP Inventory: $70,000

  • Direct Materials in Ending WIP: $24,000

  1. Calculate Direct Labor and Manufacturing Overhead in WIP:

    Total Ending WIP

    =Direct Materials+Direct Labor+Manufacturing Overhead

    70,000=24,000+Direct Labor+Manufacturing Overhead

  2. Using Predetermined Overhead Rate:

    Manufacturing Overhead

    = 1.6 × Direct Materials

    = 1.6 × 24,000

    = 38,400

  3. Calculate Direct Labor:

    70,000=24,000 + Direct Labor + 38,400

    Direct Labor= 70,000 − 24,000 − 38,400

    = 7,600


EXERCISE 5–14 Break-Even and Target Profit Analysis LO5–3, LO5–4, LO5–5, LO5–6

Lindon Company is the exclusive distributor for an automotive product that sells for $40 per unit and has a CM ratio of 30%. The company’s fixed expenses are $180,000 per year.

The company plans to sell 16,000 units this year.


  1. What are the variable expenses per unit?

  2. What is the break-even point in unit sales and in dollar sales?

  3. What amount of unit sales and dollar sales is required to attain a target profit of $60,000 per year?

  4. Assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $4 per unit.

    What is the company’s new break-even point in unit sales and in dollar sales?

    What dollar sales is required to attain a target profit of $60,000?


Solution for EXERCISE 5–14: Break-Even and Target Profit Analysis for Lindon Company

Given Information:

  • Selling Price per Unit: $40

  • CM Ratio: 30%

  • Fixed Expenses: $180,000 per year

  • Planned Sales: 16,000 units

Part 1: Calculate the Variable Expenses per Unit

The Contribution Margin (CM) Ratio is the proportion of the selling price that contributes to covering fixed expenses and generating profit. The remaining portion represents variable expenses.

We know the formula for the CM Ratio:

Conclusion for Part 1:

The variable expense per unit is $28.


Part 2: Calculate the Break-even Point in Unit Sales and Dollar Sales


1.Break-even Point in Unit Sales:

The formula for the break-even point in units is:


2.Break-even Point in Dollar Sales:

The formula for the break-even point in dollars is:

Conclusion for Part 2:

  • The break-even point is 15,000 units.

  • The break-even sales in dollars is $600,000.


Part 3: Calculate Unit Sales and Dollar Sales Required to Attain a Target Profit of $60,000

1.Required Unit Sales:

To calculate the unit sales needed to attain a target profit, use the formula:

2.Required Dollar Sales:

To calculate the required dollar sales, use the formula:

Conclusion for Part 3:

  • The company needs to sell 20,000 units to attain a target profit of $60,000.

  • The required dollar sales are $800,000.

Part 4: Impact of Reducing Variable Expenses by $4 per Unit

If the company reduces its variable expenses by $4 per unit, the new variable expense per unit will be:

Conclusion for Part 4:

  • The new break-even point is 11,250 units and $450,000 in dollar sales.

  • The dollar sales required to attain a target profit of $60,000 is $600,000.


EXERCISE 6–1 Variable and Absorption Costing Unit Product Costs LO6–1

Ida Sidha Karya Company is a family-owned company located in the village of Gianyar on the island of Bali in Indonesia. The company produces a handcrafted Balinese musical instrument called a gamelan that is similar to a xylophone. The gamelans are sold for $850.

Selected data for the company’s operations last year follow:

Units in beg. inventory

0

Units produced

250

Units sold

225

Units in end. inventory

25

Variable costs per unit:


Direct materials

$100

Direct labor

$320

Variable manufacturing overhead

$40

Variable selling and administrative

$20

Fixed costs:


Fixed manufacturing overhead

$60,000

Fixed selling and administrative

$20,000

  1. Assume that the company uses absorption costing. Compute the unit product cost for one gamelan.

  2. Assume that the company uses variable costing. Compute the unit product cost for one gamelan.


Part 1: Absorption Costing – Unit Product Cost

Under absorption costing, both variable costs and a portion of fixed manufacturing overhead are included in the unit product cost.

Part 2: Variable Costing – Unit Product Cost

Under variable costing, only variable costs are included in the unit product cost. Fixed manufacturing overhead is treated as a period expense.

Summary:

Costing Method

Unit Product Cost

Absorption Costing

$700

Variable Costing

$460

  • Absorption costing includes fixed manufacturing overhead in the unit cost.

  • Variable costing only includes variable costs, treating fixed overhead as a period expense.


EXERCISE 6–2 Variable Costing Income Statement; Explanation of Difference in Net Operating Income LO6–2

Refer to the data in Exercise 6–1 for Ida Sidha Karya Company. The absorption costing income statement prepared by the company’s accountant for last year appears as shown:

Sales

$191,250

Cost of goods sold

$157,500

Gross margin

$33,750

Selling and administrative expense

$24,500

Net operating income

$9,250

  1. Under absorption costing, how much fixed manufacturing overhead cost is included in the company’s inventory at the end of last year?

  2. Prepare an income statement for last year using variable costing. Explain the difference in net operating income between the two costing methods.


Part 1: Fixed Manufacturing Overhead Cost in Ending Inventory under Absorption Costing

Under absorption costing, fixed manufacturing overhead is included in the unit product cost and is spread across all units produced.

Step 1: Calculate Fixed Manufacturing Overhead per Unit

Total Fixed Manufacturing Overhead: $60,000

Units Produced: 250 units

Part 2: Prepare an Income Statement Using Variable Costing

Under variable costing, only variable manufacturing costs are included in the cost of goods sold, while fixed manufacturing overhead is treated as a period expense.

Let's prepare the variable costing income statement.


Step 1: Calculate Variable Cost of Goods Sold (COGS)

Variable Cost per Unit (from Exercise 6–1):

  • Direct materials: $100

  • Direct labor: $320

  • Variable manufacturing overhead: $40

  • Total Variable Cost per Unit: $460

Units Sold: 225 units

Variable Costing Income Statement:

Description

Amount ($)

Sales (225 units × $850)

191,250

- Variable Cost of Goods Sold (225 units × $460)

103,500

- Variable Selling and Admin Expenses (225 units × $20)

4,500

= Contribution Margin

83,250

- Fixed Manufacturing Overhead

60,000

- Fixed Selling and Administrative Expenses

20,000

= Net Operating Income

3,250

Part 3: Explanation of the Difference in Net Operating Income

  1. Net Operating Income under Absorption Costing: $9,250

  2. Net Operating Income under Variable Costing: $3,250

Reason for the Difference:

  • Under absorption costing, $6,000 of fixed manufacturing overhead is deferred in the ending inventory (as it’s included in the inventory cost and not expensed until the units are sold). This results in a higher net operating income.

  • Under variable costing, all fixed manufacturing overhead is treated as a period expense, so it is expensed fully in the current period. This leads to a lower net operating income.

Reconciliation of Net Operating Income Difference:

Difference in Net Operating Income

=Fixed Manufacturing Overhead in Ending Inventory under Absorption Costing Difference

Difference=6,000

he $6,000 difference is due to the fixed manufacturing overhead that is included in the ending inventory under absorption costing.

Summary:

  • Absorption Costing Net Operating Income: $9,250

  • Variable Costing Net Operating Income: $3,250

  • Difference: $6,000 (due to fixed manufacturing overhead in ending inventory under absorption costing).


EXERCISE 6–9 Variable and Absorption Costing Unit Product Costs and Income Statements LO6–1, LO6–2, LO6–3

Walsh Company manufactures and sells one product.

The following information pertains to each of the company’s first two years of operations:

Variable costs per unit:


Manufacturing:


Direct materials

$25

Direct labor

$15

Variable manufacturing overhead

$5

Variable selling and administrative

$2

Fixed costs per year:


Fixed manufacturing overhead

$250,000

Fixed selling and administrative expenses

$80,000

During its first year of operations, Walsh produced 50,000 units and sold 40,000 units.

During its second year of operations, it produced 40,000 units and sold 50,000 units.

The selling price of the company’s product is $60 per unit.

  1. a. Compute the unit product cost for Year 1 and Year 2.

    b. Prepare an income statement for Year 1 and Year 2.

  2. Assume the company uses absorption costing:

    a. Compute the unit product cost for Year 1 and Year 2.

    b. Prepare an income statement for Year 1 and Year 2.

  3. Explain the difference between variable costing and absorption costing net operating income in Year 1. Also, explain why the two net operating incomes differ in Year 2.


Part 1: Variable Costing – Unit Product Cost and Income Statements

Part 2: Absorption Costing – Unit Product Cost and Income Statements

Part 3: Explanation of the Difference in Net Operating Income

  1. Year 1:

    • Variable Costing Net Operating Income = $190,000

    • Absorption Costing Net Operating Income = $240,000

    • Difference = $50,000

    Explanation: The difference arises because absorption costing includes $50,000 of fixed manufacturing overhead in ending inventory (10,000 units × $5 fixed overhead per unit). Under variable costing, all fixed manufacturing overhead is expensed immediately, resulting in lower net income.

  2. Year 2:

    • Variable Costing Net Operating Income = $320,000

    • Absorption Costing Net Operating Income = $357,500

    • Difference = $37,500

    Explanation: In Year 2, 10,000 units from Year 1’s ending inventory are sold. The $50,000 of fixed manufacturing overhead deferred in Year 1 is now expensed under absorption costing, reducing the net operating income difference. However, absorption costing still reports a higher income because the fixed manufacturing overhead per unit in Year 2 is higher ($6.25 vs. $5).

Summary:

Costing Method

Year 1 Net Operating Income

Year 2 Net Operating Income

Variable Costing

$190,000

$320,000

Absorption Costing

$240,000

$357,500




PROBLEM 6–19 Variable Costing Income Statement; Reconciliation LO6–2, LO6–3

During Heaton Company’s first two years of operations, it reported absorption costing net operating income as follows:


Year 1

Year 2

Sales (@ $25 per unit)

$1,000,000

$1,250,000

Cost of goods sold (@ $18 per unit)

720,000

900,000

Gross margin

280,000

350,000

Selling and administrative expenses*

210,000

230,000

Net operating income

$ 70,000

$ 120,000

*$2 per unit variable; $130,000 fixed each year.

The company’s $18 unit product cost is computed as follows

Direct materials

$4

Direct labor

7

Variable manufacturing overhead

1

Fixed manufacturing overhead ($270,000 ÷ 45,000 units)

6

Absorption costing unit product cost

$18

Forty percent of fixed manufacturing overhead consists of wages and salaries;

the remainder consists of depreciation charges on production equipment and buildings.

Production and cost data for the first two years of operations are:


Year 1

Year 2

Units produced

45,000

45,000

Units sold

40,000

50,000

1. Using variable costing, what is the unit product cost for both years?

2. What is the variable costing net operating income in Year 1 and in Year 2?

3. Reconcile the absorption costing and the variable costing net operating income figures for each year.

Part 1: Unit Product Cost under Variable Costing

Under variable costing, only variable manufacturing costs are included in the unit product cost.

Fixed manufacturing overhead is treated as a period cost.

Formula:

Part 2: Variable Costing Net Operating Income


Part 3: Reconciliation of Absorption and Variable Costing Net Operating Income

Year 1:

  • Absorption Costing Net Operating Income: $70,000

  • Variable Costing Net Operating Income: $40,000

  • Difference: $30,000

Explanation: The difference of $30,000 arises because under absorption costing, some of the fixed manufacturing overhead is deferred in ending inventory. In Year 1, 5,000 units (45,000 units produced - 40,000 units sold) are still in inventory, and each unit contains $6 of fixed manufacturing overhead.


Fixed Manufacturing Overhead Deferred=5,000×6=30,000


Year 2:

  • Absorption Costing Net Operating Income: $120,000

  • Variable Costing Net Operating Income: $150,000

  • Difference: -$30,000

Explanation: In Year 2, the 5,000 units from Year 1's ending inventory were sold, releasing the $30,000 of fixed manufacturing overhead that had been deferred in Year 1 under absorption costing. This reduces net income under absorption costing compared to variable costing.

Summary of Reconciliation:

Year

Absorption Costing Net Income

Variable Costing Net Income

Difference

Explanation

Year 1

$70,000

$40,000

$30,000

$30,000 of fixed manufacturing overhead in ending inventory

Year 2

$120,000

$150,000

-$30,000

$30,000 of fixed manufacturing overhead released from ending inventory


EXERCISE 5A–1 High-Low Method LO5–10 The Cheyenne Hotel in Big Sky, Montana, has accumulated records of the total electrical costs of the hotel and the number of occupancy-days over the last year. An occupancy-day represents a room rented for one day.

The hotel’s business is highly seasonal, with peaks occurring during the ski season and in the summer.

Month

Occupancy-Days


Electrical Costs


January

1,736


$4,127


February

1,904


$4,207


March

2,356


$5,083


April

960


$2,857


May

360


$1,871


June

744


$2,696


July

2,108


$4,670


August

2,406


$5,148


September

840


$2,691


October

124


$1,588


November

720


$2,454


December

1,364


$3,529


Required:

  1. Using the high-low method, estimate the fixed cost of electricity per month and the variable cost of electricity per occupancy-day. Round off the fixed cost to the nearest whole dollar and the variable cost to the nearest whole cent.

  2. What other factors in addition to occupancy-days are likely to affect the variation in electrical costs from month to month?


Solution for EXERCISE 5A–1: High-Low Method for Cheyenne Hotel

Given Information:

  • Occupancy-Days: Number of days with rented rooms.

  • Electrical Costs: Monthly electrical expenses.

Part 1: Estimate the Fixed and Variable Cost using the High-Low Method

Step 1: Identify the High and Low Points

  1. High Point:

    • Occupancy-Days: 2,406 (August)

    • Electrical Costs: $5,148

  2. Low Point:

    • Occupancy-Days: 124 (October)

    • Electrical Costs: $1,588

Step 2: Calculate the Variable Cost per Occupancy-Day

The high-low method calculates the variable cost per unit (in this case, per occupancy-day) using the formula:

Step 3: Calculate the Total Fixed Cost

To find the total fixed cost, use the high or low point data:

Fixed Cost Formula:

Fixed Cost =Total Cost−(Variable Cost per Occupancy-Day×Occupancy-Days)

Using the high point (August):

Fixed Cost=5,148−(1.56×2,406)=5,148−3,755=1,390

Conclusion:

  • Fixed Cost per Month: $1,393

  • Variable Cost per Occupancy-Day: $1.56

Part 2: Factors Affecting Electrical Costs

Apart from the number of occupancy-days, several other factors could impact electrical costs:

  1. Seasonal Temperature Changes: Heating or cooling costs may vary with the seasons, leading to fluctuations in electrical usage.

  2. Hotel Amenities and Services: The operation of amenities such as pools, spas, or on-site restaurants may increase electricity consumption.

  3. Occupant Behavior: Guests might leave lights, heating, or air conditioning on for extended periods, increasing electrical costs.

  4. Events and Functions: Hosting events or conferences could lead to a temporary increase in electricity usage.

  5. Energy Efficiency: The age and efficiency of electrical systems and appliances can impact overall electricity usage.

Summary:

  1. Fixed Cost per Month: $1,393

  2. Variable Cost per Occupancy-Day: $1.56

  3. Additional Factors: Seasonal variations, guest behavior, hotel services, events, and energy efficiency.


PROBLEM 5A–8 High-Low Method; Predicting Cost LO5–10 Nova Company’s total overhead cost at various levels of activity are presented below:

Month

Machine- Hours

Total Overhead Cost

April

70,000

$198,000

May

60,000

$174,000

June.

80,000

$222,000

July

90,000

$246,000

Assume that the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 60,000 machine-hour level of activity is:

Utilities (variable)

$ 48,000

Supervisory salaries (fixed)

21,000

Maintenance (mixed)

105,000

Total overhead cost

$174,000

Nova Company’s management wants to break down the maintenance cost into its variable and fixed cost elements.

Required:

  1. Estimate how much of the $246,000 of overhead cost in July was maintenance cost. (Hint: to do this, it may be helpful to first determine how much of the $246,000 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs.)

  2. Using the high-low method, estimate a cost formula for maintenance in the form Y = a + bX .

  3. Express the company’s total overhead cost in the form Y = a + bX.

  4. What total overhead cost would you expect to be incurred at an activity level of 75,000

    machine-hours?


Solution for Nova Company: Overhead Cost Analysis

Given Data:

  • Machine-Hours and Total Overhead Costs:

    • April: 70,000 machine-hours, $198,000

    • May: 60,000 machine-hours, $174,000

    • June: 80,000 machine-hours, $222,000

    • July: 90,000 machine-hours, $246,000

  • Breakdown of Overhead Costs at 60,000 Machine-Hours:

    • Utilities (variable): $48,000

    • Supervisory Salaries (fixed): $62,000

    • Maintenance: (unknown variable and fixed components)

Step 1: Estimate Maintenance Cost in July

Breakdown of Overhead Costs at 60,000 Machine-Hours

  • Utilities Cost: $48,000

    • Variable Cost per Machine-Hour for utilities:

  • Supervisory Salaries (Fixed Cost): $62,000

Calculate the Total Utilities and Supervisory Salaries in July (90,000 Machine-Hours)

  1. Utilities Cost in July:

    Utilities Cost=90,000×0.80=72,000

  2. Maintenance Cost for July

    We can now estimate the maintenance cost for July by subtracting the utilities and supervisory salaries from the total overhead cost:

    Maintenance Cost for July=Total Overhead−Utilities Cost−Supervisory Salaries

    Maintenance Cost for July=246,000−72,000−21,000

    =153,000

    So, the maintenance cost in July is $153,000.


Step 2: Use the High-Low Method to Estimate the Cost Formula for Maintenance

The high-low method will help us break down the maintenance cost into its variable and fixed components.

2.1 Identify the High and Low Points

  • High Point: 90,000 machine hours (July), maintenance cost = $153,000

  • Low Point: 60,000 machine hours (May), maintenance cost = $105,000 (from the provided breakdown)

2.2 Calculate the Variable Maintenance Cost per Machine Hour

Using the high-low method formula:

Calculate the Variable Cost per Machine-Hour for Maintenance


3 Calculate the Fixed Maintenance Cost

Now that we know the variable cost, we can calculate the fixed portion of the maintenance cost using either the high or low point. Let’s use the low point (60,000 machine hours, $105,000 maintenance cost):

Fixed Maintenance Cost

=Total Maintenance Cost−(Variable Cost per Unit×Activity Level)

Fixed Maintenance Cost=105,000−(1.60×60,000)

=105,000−96,000

=9,000

So, the fixed maintenance cost is $9,000.

Maintenance Cost Formula:

Maintenance Cost (Y)=9,000+1.60X

Where:

  • Y = Total maintenance cost

  • X = Number of machine hours


Step 3:Express the Company’s Total Overhead Cost in the Form Y = a + bX

Now that we have broken down the maintenance cost into its fixed and variable components, we can express the total overhead cost formula by combining all the cost elements:

  • Utilities: $0.80 per machine hour (variable)

  • Supervisory Salaries: $21,000 (fixed)

  • Maintenance: $9,000 fixed, $1.60 per machine hour (variable)

Total Overhead Cost Formula:

Total Overhead Cost (Y)=21,000+9,000+(0.80X)+(1.60X)

Total Overhead Cost (Y)=30,000+2.40X

Step 4: Estimate the Total Overhead Cost for 75,000 Machine Hours

Now, using the total overhead cost formula, we can estimate the total overhead cost for 75,000 machine hours:

Total Overhead Cost=30,000+(2.40×75,000)

Total Overhead Cost=30,000+180,000=210,000

So, the total overhead cost for 75,000 machine hours is $210,000.



Summary of Results:

  1. Maintenance cost for July (90,000 machine hours) = $153,000.

  2. Maintenance cost formula: Maintenance Cost (Y)=9,000+1.60X\text{Maintenance Cost (Y)} = 9,000 + 1.60XMaintenance Cost (Y)=9,000+1.60X

  3. Total overhead cost formula: Total Overhead Cost (Y)=30,000+2.40X\text{Total Overhead Cost (Y)} = 30,000 + 2.40XTotal Overhead Cost (Y)=30,000+2.40X

  4. Total overhead cost for 75,000 machine hours = $210,000.


PROBLEM 5A–9 High-Low Method; Contribution Format Income Statement LO5–10

Milden Company is a distributor who wants to start using a contribution format income statement for planning purposes. The company has analyzed its expenses and developed the following cost formulas:

Cost

Cost Formula

Cost of good sold

$35 per unit sold

Advertising expense

$210,000 per quarter

Sales commissions

6% of sales

Shipping expense

?

Administrative salaries

$145,000 per quarter

Insurance expense

$9,000 per quarter

Depreciation expense

$76,000 per quarter

Because shipping expense is a mixed cost, the company needs to estimate the variable shipping expense per unit sold and the fixed shipping expense per quarter using the following data:

Quarter

Units Sold

Shipping Expense

Year 1:



First

10,000

$119,000

Second

16,000

$175,000

Third

18,000

$190,000

Fourth

15,000

$164,000

Year 2:



First

11,000

$130,000

Second

17,000

$185,000

Third

20,000

$210,000

Fourth

13,000

$147,000

Required:

  1. Using the high-low method, estimate a cost formula for shipping expense in the form Y = a + bX.

  2. In the first quarter of Year 3, the company plans to sell 12,000 units at a selling price of $100 per unit. Prepare a contribution format income statement for the quarter.


Solution for PROBLEM 5A–9: High-Low Method and Contribution Format Income Statement for Milden Company

Part 1: Estimate a Cost Formula for Shipping Expense Using the High-Low Method

Given Data for Shipping Expense:

Quarter

Units Sold

Shipping Expense

High Point

20,000

$210,000

Low Point

10,000

$119,000

Step 1: Calculate the Variable Cost per Unit for Shipping Expense

High-Low Method Formula:

Step 2: Calculate the Fixed Cost Component for Shipping Expense

Fixed Cost Formula:

Fixed Cost=Total Cost−(Variable Cost per Unit×Units)

Using the high point (20,000 units):

Fixed Cost=210,000−(9.10×20,000)

= 210,000 - 182,000

= 28,000

Step 3: Write the Cost Formula for Shipping Expense

The formula is in the form:

Y=a+bX

Where:

  • a = Fixed cost = $28,000

  • b = Variable cost per unit = $9.10

  • X = Number of units sold

Final Cost Formula for Shipping Expense:

Y=28,000+9.10X


Part 2: Contribution Format Income Statement for Year 3, First Quarter

Given Data:

  • Planned Sales in Q1, Year 3: 12,000 units

  • Selling Price per Unit: $100

  • Cost of Goods Sold: $35 per unit

  • Sales Commissions: 6% of sales

  • Advertising Expense: $210,000 per quarter

  • Administrative Salaries: $145,000 per quarter

  • Insurance Expense: $9,000 per quarter

  • Depreciation Expense: $76,000 per quarter

  • Shipping Expense Formula: Y=28,000+9.10XY = 28,000 + 9.10XY=28,000+9.10X

Step 1: Calculate Sales and Variable Expenses

  1. Sales:

    Sales=12,000×100=1,200,000

  2. Cost of Goods Sold:

    Cost of Goods Sold=12,000×35=420,000

  3. Sales Commissions:

    Sales Commissions=0.06×1,200,000=72,000

  4. Variable Shipping Expense:

    Variable Shipping Expense=9.10×12,000=109,200

Step 2: Calculate Contribution Margin

Total Variable Expenses=420,000+72,000+109,200=601,200

Contribution Margin=Sales−Total Variable Expenses

Contribution Margin=1,200,000−601,200=598,800

Step 3: Calculate Fixed Expenses

  1. Fixed Shipping Expense: $28,000

  2. Advertising Expense: $210,000

  3. Administrative Salaries: $145,000

  4. Insurance Expense: $9,000

  5. Depreciation Expense: $76,000

468,000Total Fixed Expenses

=28,000+210,000+145,000+9,000+76,000

=468,000


Step 4: Calculate Net Operating Income

Net Operating Income=Contribution Margin−Total Fixed Expense

Net Operating Income=598,800−468,000=130,800

Contribution Format Income Statement:

Description

Amount ($)

Sales (12,000 units × $100)

1,200,000

Variable Expenses


Cost of Goods Sold (12,000 × $35)

420,000

Sales Commissions (6% of Sales)

72,000

Shipping Expense (12,000 × $9.10)

109,200

-Total Variable Expenses

601,200

=Contribution Margin

598,800

Fixed Expenses


Shipping Expense

28,000

Advertising Expense

210,000

Administrative Salaries

145,000

Insurance Expense

9,000

Depreciation Expense

76,000

-Total Fixed Expenses

468,000

Net Operating Income

130,800

Final Traditional Income Statement (which is correct):

Traditional Income Statement

Amount ($)

Sales (12,000 units @ $100)

1,200,000

Cost of Goods Sold


Cost of Goods Sold (12,000 units @ $35)

420,000

Variable Shipping (12,000 units @ $9.10)

109,200

Total Cost of Goods Sold

529,200

Gross Profit

670,800

Operating Expenses:


Sales Commissions (6% of sales)

72,000

Fixed Shipping Expense

28,000

Advertising Expense

210,000

Administrative Salaries

145,000

Insurance Expense

9,000

Depreciation Expense

76,000

Total Operating Expenses

540,000

Net Operating Income

130,800



Summary of Results:

  1. Shipping Expense Formula: Y=28,000+9.10XY = 28,000 + 9.10XY=28,000+9.10X

  2. Net Operating Income for Q1, Year 3: $130,800



Author

Max H.

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