chapter eight absorption and variable costing, and inventory management copyright © 2012 nelson...
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Chapter EightAbsorption and Variable Costing,
and Inventory Management
Chapter EightAbsorption and Variable Costing,
and Inventory Management
COPYRIGHT © 2012 Nelson Education Ltd.
COPYRIGHT © 2012 Nelson Education Ltd.COPYRIGHT © 2012 Nelson Education Ltd.
Learning ObjectivesLearning Objectives
1. Explain the difference between absorption and variable costing
2. Prepare segmented income statements
3. Discuss inventory management under the economic order quantity and just-in-time (JIT) models
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OBJECTIVE OBJECTIVE 11
Explain the difference between absorption and variable costing
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Absorption Costing Income StatementAbsorption Costing Income Statement
• Assigns all manufacturing costs to the product– direct materials– direct labour– variable overhead– fixed overhead
• Fixed overhead is applied to the product using a predetermined overhead rate
• Required by generally accepted accounting principles (GAAP) for external reporting
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Variable Costing Income StatementVariable Costing Income Statement
• Assigns only variable manufacturing costs to the product– direct materials– direct labour– variable overhead
• Fixed overhead is treated as a period expense
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Example: Cornerstone 8-1Example: Cornerstone 8-1
Information:
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Units in beginning inventoryUnits produced
Units sold ($300 per unit)Variable costs per unit:
Direct materialsDirect labourVariable overhead
Fixed costs:Fixed overhead per unit producedFixed selling and administrative
----10,000
8,000
$50$100
$50
$25$100,000
How to Compute Inventory Cost under Absorption Costing
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ExampleExample
Required:
1. How many units are in ending inventory?
2. Using absorption costing, calculate the per-unit product cost
3. What is the value of ending inventory?
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ExampleExample
Units ending inventory
Units beginning inventory
Units produced
Units sold
= + –
0 + 10,000 – 8,000=
= 2,000
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Absorption CostingAbsorption Costing
Direct materials $ 50
Direct labour
Variable overhead
Fixed overheadUnit product cost
100
50
$22525
Value of ending inventory = 2,000 × $225 = $450,000
Per unit
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Example: Cornerstone 8-2Example: Cornerstone 8-2
Information:Units in beginning inventoryUnits produced
Units sold ($300 per unit)Variable costs per unit:
Direct materialsDirect labourVariable overhead
Fixed costs:Fixed overhead per unit producedFixed selling and administrative
----10,000
8,000
$50$100
$50
$25$100,000
How to Compute Inventory Cost under Variable Costing
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ExampleExample
Required:
1. How many units are in ending inventory?
2. Using variable costing, calculate the per-unit product cost
3. What is the value of ending inventory?
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ExampleExample
Units ending inventory
Units beginning inventory
Units produced
Units sold
= + –
0 + 10,000 – 8,000=
= 2,000
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Variable CostingVariable Costing
Direct materials
Direct labour
Variable overheadUnit product cost
$ 50
100
50$200
Value of ending inventory = 2,000 × $200 = $400,000
When inventory on hand exists, variable costing results in lower ending inventory than absorption costing
Only variable costs
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Absorption and Variable CostingAbsorption and Variable Costing
DM
DL
Var OH
Fixed OH
DM
DL
Var OH
Variable Costing
Unit Cost
Absorption Costing
Unit Cost
Absorption Costing includes Fixed Overhead in Unit Cost, Variable Costing does not
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Example: Cornerstone 8-3Example: Cornerstone 8-3
Information:Units in beginning inventoryUnits produced
Units sold ($300 per unit)Variable costs per unit:
Direct materialsDirect labourVariable overhead
Fixed costs:Fixed overhead per unit producedFixed selling and administrative
----10,000
8,000
$50$100
$50
$25$100,000
How to Prepare an Absorption-Costing Income Statement
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ExampleExample
Required:
1. Calculate the cost of goods sold under absorption costing
2. Prepare an income statement using absorption costing
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ExampleExample
Cost of goods sold
Absorption unit product
costUnits sold= ×
$225= × 8,000
= $1,800,000
$50 + $100 + $50 + $25
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Fairchild CompanyAbsorption-Costing Income Statement
Fairchild CompanyAbsorption-Costing Income Statement
Sales ($300 × 8,000)
Less: Cost of goods sold
Gross Margin
Less: Selling and administrative expenses
$2,400,000
1,800,000
$ 600,000
100,000
Net Income $ 500,000
Fixed selling and administrative costs
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Example: Cornerstone 8-4Example: Cornerstone 8-4
Information:Units in beginning inventoryUnits produced
Units sold ($300 per unit)Variable costs per unit:
Direct materialsDirect labourVariable overhead
Fixed costs:Fixed overhead per unit producedFixed selling and administrative
----10,000
8,000
$50$100
$50
$25$100,000
How to Prepare a Variable-Costing Income Statement
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ExampleExample
Required:
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1. Calculate the cost of goods sold under variable costing
2. Prepare an income statement using variable costing
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ExampleExample
Cost of goods sold
Variable unit product cost
Units sold= ×
$200= × 8,000
= $1,600,000
$50 + $100 + $50
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Fairchild CompanyVariable-Costing Income Statement
Fairchild CompanyVariable-Costing Income Statement
Sales ($300 × 8,000)
Less variable expenses:
Variable cost of goods sold
$2,400,000
1,600,000
Contribution margin $ 800,000
Less fixed expenses:
Fixed overhead $250,000
350,000Fixed selling and administrative 100,000
$ 450,000Net Income
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Production, Sales, and Income RelationshipsProduction, Sales, and Income Relationships
1.
2.
3.
IfProduction > Sales
Production < Sales
Production = Sales
ThenAbsorption Income > Variable Income
Absorption Income < Variable Income
Absorption Income = Variable Income
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OBJECTIVE OBJECTIVE 22
Prepare segmented income statements
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Segmented Income StatementsSegmented Income Statements
• Segment is a subunit of a company– divisions– departments– product lines– customer classes
• Fixed expenses are broken down into two categories:– direct fixed expenses
• directly traceable to a segment– common fixed expenses
• jointly caused by two or more segments
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Segment MarginSegment Margin
Sales
– Variable Cost of Goods Sold
– Variable Selling Expense
Contribution Margin– Direct fixed overhead
– Direct selling and administrative
Segment Margin
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Example: Cornerstone 8-5Example: Cornerstone 8-5
Information:Sales Variable cost of goods sold Direct fixed overhead
• Sales commissions, 5% of sales• Direct fixed selling and administrative expense
estimated:◦ $10,000 for the MP3 line◦ $15,000 for the DVD line
• Common fixed overhead est., $100,000• Common selling and administrative est., $20,000
150,00020,000
MP3 Players DVD Players$400,000 $290,000
200,00030,000
How to Prepare a Segmented Income Statement
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ExampleExample
Required:
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Prepare a segmented income statement for Audiomatronics Inc. for the coming year, using variable costing
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Audiomatronics Inc.Segmented Income Statement
For the Coming Year
Audiomatronics Inc.Segmented Income Statement
For the Coming Year
Sales Variable cost of goods sold Variable selling expense
(150,000)
MP3 Players DVD Players$400,000 $290,000(200,000)(20,000)
Total$690,000(350,000)
5% × $290,000
(14,500)
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Sales commissions = 5% of Sales5% × $400,000
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Audiomatronics Inc.Segmented Income Statement
For the Coming Year
Audiomatronics Inc.Segmented Income Statement
For the Coming Year
Sales Variable cost of goods sold Variable selling expense
(150,000)
MP3 Players DVD Players$400,000 $290,000(200,000)(20,000)
Total$690,000(350,000)
(14,500)Contribution Margin
Less direct fixed expenses:Direct fixed overheadDirect selling & admin.
(34,500)$180,000 $125,500 $305,500
(30,000) (20,000) (50,000)(10,000) (15,000) (25,000)
$140,000 $ 90,500 $230,500Segment margin
Segment margin reflects only those costs directly related to the operation of the segment. Common costs are not included in the
segment margin
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Audiomatronics Inc.Segmented Income Statement
For the Coming Year
Audiomatronics Inc.Segmented Income Statement
For the Coming Year
Sales Variable cost of goods sold Variable selling expense
(150,000)
MP3 Players DVD Players$400,000 $290,000(200,000)(20,000)
Total$690,000(350,000)
(14,500)Contribution Margin
Less direct fixed expenses:Direct fixed overheadDirect selling & admin.
(34,500)$180,000 $125,500 $305,500
(30,000) (20,000) (50,000)(10,000) (15,000) (25,000)
$140,000 $ 90,500 $230,500Segment margin
Common fixed overheadCommon selling & admin.
Operating Income
(100,000)(20,000)
Less common fixed expenses:
$110,5008-31
OBJECTIVE OBJECTIVE 33
Discuss inventory management under the
economic order quantity and just-in-time (JIT) models
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Ordering CostsOrdering Costs
• Costs of placing and receiving an order• Examples:
– order processing costs– cost of insurance for shipment– unloading costs
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Carrying CostsCarrying Costs
• Costs of carrying inventory• Examples:
– insurance– inventory taxes– obsolescence– opportunity cost of funds ties up in inventory,
handling costs, and storage space
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Stockout CostsStockout Costs
• Occur when demand is not known• Costs of not having:
– product available when demanded by a customer– raw materials available when needed for production
• Examples:– lost sales– costs of expediting– costs of interrupted production
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Traditional Reasons for Carrying InventoryTraditional Reasons for Carrying Inventory
• To balance ordering or setup costs and carrying costs• To satisfy customer demand • To avoid shutting down manufacturing facilities because
of:– Machine failure– Defective parts– Unavailable parts– Late delivery of parts
• To buffer against unreliable production processes• To take advantage of discounts• To hedge against future price increases
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How to Calculate Ordering Cost, and Total Inventory-Related Cost
Example: Cornerstone 8-6Example: Cornerstone 8-6
• Mall-o-Cars Inc. uses part X7B to repair water pumps– 10,000 units of part X7B are used each year– currently purchased in lots of 1,000 units– cost of $25 to place an order– carrying cost is $2 per part per year
Information:
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ExampleExample
1. How many orders for Part X7B does Mall-o-Cars place per year?
2. What is the total ordering cost of Part X7B per year?
3. What is the total carrying cost of Part X7B per year?
4. What is the total cost of Mall-o-Car’s inventory policy for Part X7B per year?
Required:
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ExampleExample
1. Number of orders
= Annual number of units used ÷ Number of units in an order
= 10,000 / 1,000
= 10 orders per year
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ExampleExample
2. Total ordering cost
= Number of orders × Cost per order
= 10 orders × $25
= $250
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ExampleExample
3. Total carrying cost
Average number of units in inventory
= (1,000/2) × $2
= $1,000
= × Cost of carrying
one unit in inventory
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ExampleExample
4. Total inventory-related cost
Total ordering cost
= $250 + $1,000
= $1,250
= + Total carrying cost
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Economic Order Quantity (EOQ):The Traditional Inventory ModelEconomic Order Quantity (EOQ):The Traditional Inventory Model
• Number of units in the optimal size order• Minimizes total inventory-related costs• Formula:
2 × CO × D/CC
Cost of placing one order
Annual demand in units
Cost of carrying one unit in inventory
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Example: Cornerstone 8-7Example: Cornerstone 8-7
• Mall-o-Cars Inc. uses Part X7B to repair water pumps– 10,000 units of Part X7B are used each year– Currently purchased in lots of 1,000 units– Cost of $25 to place an order– Carrying cost is $2 per part per year
Information:
How to Calculate the EOQ
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ExampleExample
1. What is the EOQ for Part X7B?
2. How many orders per year for Part X7B will Mall-o-Cars place under the EOQ policy?
3. What is the total annual ordering cost of Part X7B for a year under the EOQ policy?
4. What is the total annual carrying cost of Part X7B per year under the EOQ policy?
5. What is the total annual inventory-related cost for Part X7B under the EOQ?
Required:
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ExampleExample
1. Economic Order Quantity (EOQ)
(2 × $25 × 10,000) /$2=
= 500,000/2
= 500 units
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ExampleExample
2. Number of orders
= Annual number of units used / Number of units in an order
= 10,000 / 500
= 20 orders per year
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ExampleExample
3. Total ordering cost
= Number of orders × Cost per order
= 20 orders × $25
= $500
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ExampleExample
4. Total carrying cost
= (500/2) × $2
= $500
Average number of units in inventory
= × Cost of carrying
one unit in inventory
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ExampleExample
5. Total inventory-related cost
= $500 + $500
= $1,000
Total ordering cost= + Total carrying cost
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Reorder PointReorder Point
• Point in time when a new order should be placed
• Function of:– EOQ– Lead time– Rate at which inventory is used
Reorder point = Rate of usage × Lead time
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Example: Cornerstone 8-8Example: Cornerstone 8-8
Mall-o-Cars Inc. uses Part X7B to repair water pumps– 10,000 units of Part X7B are used each year– Used at a rate of 40 parts per day– Takes 5 days from time of order to arrival of order
Information:
HOW TO Calculate the Reorder Point
Required:Calculate the reorder point
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ExampleExample
Reorder point = Daily usage × Lead time
Reorder point = 40 × 5 days
Reorder point = 200
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Example: Cornerstone 8-9Example: Cornerstone 8-9
• Mall-o-Cars Inc. uses Part X7B to repair water pumps– 10,000 units of Part X7B are used each year– Used at an average rate of 40 parts per day
• But some days as many as 50 parts are used
– Takes 5 days from the time of order to the arrival of the order
Information:
How to Calculate Safety Stock and the Reorder Point with Safety Stock
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ExampleExample
1. Calculate the amount of safety stock
2. Calculate the reorder point with safety stock
Required:
8-55
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ExampleExample
1. Safety stock
= (Maximum daily usage – Average daily usage) × lead time
= (50 – 40) × 5 days
= 50
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ExampleExample
2. Reorder point= Maximum daily usage × lead time
= 50 × 5 days
= 250
= (Average daily usage × lead time) + Safety stock
= (40 × 5 days) + 50
= 250
OR
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Just-in-Time (JIT) ApproachJust-in-Time (JIT) Approach
• Goods pushed through the system by present demand rather than being pushed through on a fixed schedule based on anticipated demand
• Each operation produces only what is necessary to satisfy the demand of the succeeding operation
• Reduces all inventories to very low levels• Reduces inventory carrying costs
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