Financial and Managerial Accounting Wild, Shaw, and Chiappetta Fifth Edition Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 19 Variable Costing and Performance Reporting Conceptual Learning Objectives C1: Describe how absorption costing can result in overproduction. C2: Explain the role of variable costing in pricing special orders. 19-3 Analytical Learning Objectives A1: Compute and interpret break-even volume in units. 19-4 Procedural Learning Objectives P1: Compute unit cost under both absorption and variable costing. P2: Prepare and analyze an income statement using absorption costing and using variable costing. P3: Prepare a contribution margin report. P4: Convert income under variable costing to the absorption cost basis. 19-5 C1 Absorption Costing & Variable Costing Absorption costing (also called full costing), assumes that products absorb all costs incurred to produce them. While widely used for financial reporting (GAAP), this costing method can result in misleading product cost information for managers’ business decisions. 19-6 C2 Absorption Costing & Variable Costing Under variable costing, only costs that change in total with changes in production level are included in product costs. 19-7 P1 Distinguishing between Absorption Costing and Variable Costing: Absorption Costing Absorption Costing Direct Materials Direct Labor Variable Overhead Fixed Overhead Product Cost 19-8 P1 Distinguishing between Absorption Costing and Variable Costing: Variable Costing Variable Costing Direct Materials Direct Labor Product Cost Variable Overhead Fixed Overhead Period Cost 19-9 P1 Difference between Absorption Costing and Variable Costing: Computing Unit Cost Exhibit 19.1 Summary Cost Data Direct materials cost…………………………………………. $4 per unit Direct labor cost…………………………………………. $8 per unit Overhead cost Variable overhead cost…………………………………….. $180,000 Fixed overhead cost………………………………………….. 600,000 Total overhead cost………………………………………….. $780,000 Expected units produced………………………………….. 60,000 units 19-10 P1 Difference between Absorption Costing and Variable Costing: Computing Unit Cost Exhibit 19.1 Summary Cost Data Direct materials cost…………………………………………. $4 per unit Direct labor cost…………………………………………. $8 per unit Overhead cost Variable overhead cost…………………………………….. $180,000 Fixed overhead cost………………………………………….. 600,000 Total overhead cost………………………………………….. $780,000 Expected units produced………………………………….. 60,000 units Variable OH cost per unit: $180,000/ 60,000 units = $3/unit Fixed OH cost per unit: $600,000/ 60,000 units = $10/unit Exhibit 19.2 Unit Cost Computation Absorption Variable Costing Costing Direct materials cost per unit……………... $4 $4 Direct labor cost per unit…………. 8 8 Overhead cost Variable overhead cost per unit….. 3 3 Fixed overhead cost per unit……... 10 Total product cost per unit……………. $25 $15 19-11 P1 Analysis of Income Reporting for Both Absorption and Variable Costing Production Costs Direct materials cost Direct labor cost Variable overhead cost Fixed overhead cost $4 per unit $8 per unit $3 per unit $600,000 per year Nonproduction Costs Variable selling and administrative expenses $2 per unit Fixed selling and administrative expenses $200,000 per year Units Produced Units Sold Units in Ending Inventory 2011 2012 2013 60,000 60,000 60,000 60,000 40,000 80,000 0 20,000 0 19-12 P2 Analysis of Income Reporting for Absorption Costing: Units Produced Equal Units Sold Exhibit 19.4 Income for 2011 ----Quantity Produced Equals Quantity Sold† IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2011 Sales (60,000 x $40)………………………………………………………….. Cost of goods sold (60,000 x $25*)…………………………………………… Gross margin…………………………………………………………………… Selling and administrative expenses [$200,000 + (60,000 x $2)]………… Net income……………………………………………………………………….. $2,400,000 1,500,000 900,000 320,000 $580,000 Notice that the net income is $580,000 *Units produced equal 60,000; units sold equal 60,000. † See Exhibit 19.2 for unit cost computation under absorption and variable costing. 19-13 P2 Analysis of Income Reporting for Variable Costing: Units Produced Equal Units Sold Exhibit 19.4 Income for 2011-----Quantity Produced Equals Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2011 Sales (60,000 x $40) Variable expenses Variable production costs (60,000 x $15*) $900,000 Variable selling and administrative expenses (60,000 x $2) 120,000 Contribution margin Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 Net income We can see that the income under variable costing is also $580,000. This is because the number of units produced are equal to the number of units sold. $2,400,000 1,020,000 1,380,000 $800,000 $580,000 19-14 P3 Contribution Margin Report IceAge Company Contribution Margin Report For the Year Ended December 31, 2011 Sales $ 2,400,000 Variable Expenses Variable production costs $900,000 Variable selling expenses 120,000 1,020,000 Contribution margin $ 1,380,000 Contribution margin is the excess of sales over total variable expenses Contribution margin contributes to covering fixed costs and earning income 19-15 P3 Contribution Margin Report IceAge Company Contribution Margin Report For the year ended December 31, 2011 Sales Variable expenses Variable production costs Variable selling expenses Contribution margin $ 900,000 120,000 $ 2,400,000 % of sales 100.0% 1,020,000 $ 1,380,000 42.5% 57.5% The contribution margin ratio is Contribution Margin Sales 19-16 P2 Analysis of Income Reporting for Both Absorption and Variable Costing: Units Produced Equal Units Sold Exhibit 19.5 Production Cost Assignment for 2011 Cost of Goods Sold Ending Inventory Period Cost (Expense) (Asset) (Expense) Absorption Costing Direct materials 60,000 x $4 $ 240,000 0 x $4 $0 Direct labor 60,000 x $8 480,000 0 x $8 0 Variable overhead 60,000 x $3 180,000 0 x $3 0 Fixed overhead 60,000 x $10 600,000 0 x $10 0 Total costs 1,500,000 0 $240,000 480,000 180,000 600,000 $1,500,000 Variable Costing Direct materials Direct labor Variable overhead Fixed overhead Total costs $240,000 480,000 180,000 600,000 $1,500,000 Cost difference 60,000 x $4 60,000 x $8 60,000 x $3 $ 240,000 240,000 180,000 0 x $4 $0 0 x $8 0 0 x $3 0 $900,000 0 $600,000 $600,000 2011 Expense $0 19-17 P2 Analysis of Income Reporting for Variable Costing: Units Produced Exceed Units Sold Exhibit 19.6 Income for 2012-----Quantity Produced Equals Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2012 Sales (40,000 x $40) Variable expenses Variable production costs (40,000 x $15*) $600,000 Variable selling and administrative expenses (40,000 x $2) 80,000 Contribution margin Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense $200,000 Net income $1,600,000 680,000 920,000 $800,000 $120,000 19-18 P2 Analysis of Income Reporting for Absorption Costing: Units Produced Exceed Units Sold Exhibit 19.6 Income for 2012----Quantity Produced Exceeds Quantity Sold† IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2012 Sales (40,000 x $40) Cost of goods sold (40,000 x $25*) Gross margin Selling and administrative expenses [$200,000 + (40,000 x $2)] Net income $1,600,000 1,000,000 600,000 280,000 $320,000 Income for 2012 is $320,000 *Units produced equal 60,000; units sold equal 40,000. † See Exhibit 19.2 for unit cost computation under absorption and variable costing. 19-19 P2 Analysis of Income Reporting for Variable Costing: Units Produced Exceed Units Sold Exhibit 19.6 Income for 2012----Quantity Produced Exceeds Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2012 Sales (40,000 x $40) $1,600,000 Variable expenses Variable production costs (40,000 x $15*) $600,000 Under variable costing, the Variable selling and administrative expenses (40,000 x $2) net 80,000 680,000 income is only $120,000 Contribution margin 920,000 Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 800,000 Net income $120,000 19-20 P2 Analysis of Income Reporting for Variable Costing: Units Produced Exceed Units Sold Exhibit 19.6 Income for 2012 ---Quantity Produced Exceeds Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2012 Sales (40,000 x $40) Variable expenses Variable production costs (40,000 x $15*) $600,000 Variable selling and administrative expenses (40,000 x $2) 80,000 Contribution margin Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 Net income $1,600,000 Under absorption costing,$200,000 of fixed overhead is allocated to the 20,000 units in ending inventory and is not expensed until680,000 future periods. Variable costing920,000 expenses the entire $600,000 of fixed overhead. 800,000 $120,000 19-21 P2 Analysis of Income Reporting for Both Absorption and Variable Costing: Units Produced Exceed Units Sold Exhibit 19.7 Production Cost Assignment for 2012 Cost of Goods Sold (Expense) Absorption Costing Direct materials Direct labor Variable overhead Fixed overhead Total costs Ending Inventory (Asset) Period Cost (Expense) 2012 Expense 40,000 x $4 40,000 x $8 40,000 x $3 40,000 x $10 $ 160,000 320,000 120,000 400,000 $1,000,000 20,000 x $4 $ 80,000 20,000 x $8 160,000 20,000 x $3 60,000 20,000 x $10 200,000 $500,000 $160,000 320,000 120,000 400,000 $1,000,000 40,000 x $4 40,000 x $8 40,000 x $3 $ 160,000 320,000 120,000 ________ 20,000 x $4 $ 80,000 20,000 x $8 160,000 20,000 x $3 60,000 _______ $600,000 $160,000 320,000 120,000 600,000 $600,000 $300,000 $600,000 $1,200,000 Variable Costing Direct materials Direct labor Variable overhead Fixed overhead Total costs Cost difference ($200,000) 19-22 P2 Analysis of Income Reporting for Absorption Costing: Units Produced Are Less Than Units Sold Exhibit 19.8 Income for 2013—Quantity Produced is Less Than Quantity Sold† IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2013 Sales (80,000 x $40) Cost of goods sold (80,000 x $25*) Gross margin Selling and administrative expenses [$200,000 + (80,000 x $2)] Net income $3,200,000 2,000,000 1,200,000 360,000 $840,000 Income is now $840,000 *Units produced equal 60,000; units sold equal 80,000. † See Exhibit 19.2 for unit cost computation under absorption and variable costing. 19-23 P2 Analysis of Income Reporting for Variable Costing: Units Produced Are Less Than Units Sold Exhibit 19.8 Continued IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2013 Sales (80,000 x $40) Variable expenses Variable production costs (80,000 x $15*) $1,200,000 Variable selling and administrative expenses ($80,000 x $2) 160,000 Contribution margin Fixed expenses Income under variable Fixed overhead 600,000 costing is $1,040,000 Fixed selling and administrative expense 200,000 Net income $3,200,000 1,360,000 1,840,000 800,000 $1,040,000 19-24 Analysis of Income Reporting for Both Absorption and Variable Costing: Units P2 Produced Are Less Than Units Sold Exhibit 19.9 Production Cost Assignment for 2013 Cost of Good Sold Ending Inventory (Expense) (Asset) Absorption Costing Direct materials Direct labor Variable overhead Fixed overhead Total costs Period Cost (Expense) 80,000 x $4 80,000 x $8 80,000 x $3 80,000 x $10 $ 320,000 640,000 240,000 800,000 $2,000,000 0 x $4 0 x $8 0 x $3 0 x $10 $0 0 0 0 $0 80,000 x $4 80,000 x $8 80,000 x $3 $ 320,000 640,000 240,000 ________ 0 x $4 0 x $8 0 x $3 $0 0 0 2013 Expense $ 320,000 640,000 240,000 800,000 $ 2,000,000 Variable Costing Direct materials Direct labor Variable overhead Fixed overhead Total costs Cost difference $1,200,000 ___ $600,000 $320,000 640,000 240,000 600,000 $0 $600,000 $1,800,000 $ 200,000 19-25 P2 Summarizing Income Reporting Exhibit 19.10 Summary of Income Statements Units Produced Income for Income for and Sold Absorption Costing Variable Costing Difference 2011 Units produced: 60,000 Units sold: 60,000 $580,000 $580,000 $0 2012 Units produced: 60,000 Units sold: 40,000 320,000 120,000 200,000 2013 Units produced: 60,000 Units sold: 80,000 840,000 1,040,000 -200,000 Totals Units produced: 180,000 Units sold: 180,000 $1,740,000 $1,740,000 $0 19-26 P4 Converting Reports under Variable Costing to Absorption Costing Exhibit 19.11 Converting Variable Costing Income to Absorption Costing Income Variable costing income (from exhibit 19.10) Add: Fixed overhead cost deferred in ending inventory (20,000 × $10) Less: Fixed overhead cost recognized from beginning inventory (20,000 × $10) Absorption costing income 2011 $580,000 0 0 $580,000 2012 $120,000 200,000 0 $320,000 2013 $1,040,000 0 -200,000 $840,000 19-27 C1 Planning Production Producing too much inventory Producing too little inventory Excess inventory Lost sales Higher storage and financing costs Customer dissatisfaction Greater risk of obsolescence 19-28 C1 Planning Production: Income under Absorption Costing for Different Production Levels Why is income under absorption costing affected by the production level when that for variable costing is not? The answer lies in the different treatment of fixed overhead costs within the two methods. 19-29 C1 Planning Production Exhibit 19.12 Unit Cost Under Absorption Costing When 60,000 Units are Produced Direct materials cost $4 per unit Direct labor cost 8 per unit Variable overhead 3 per unit Total variable cost 15 per unit Fixed overhead ($600,000/60,000 units) 10 per unit Total production cost $25 per unit When 100,000 Units are Produced Direct materials Direct labor Variable overhead Total variable cost Fixed overhead ($600,000/100,000 units) Total production cost $4 per unit 8 per unit 3 per unit 15 per unit 6 per unit $21 per unit When 60,000 units are produced: When 100,000 units are produced: Fixed overhead per unit is: Fixed overhead per unit is: $600,000/ 60,000 units = $10/unit $600,000/ 100,000 units = $6/unit 19-30 C1 Planning Production: Income under Absorption Costing for Different Production Levels Exhibit 19.13 IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2011 [60,000 Units Produced; 60,000 Units Sold] Sales (60,000 x $40) Cost of goods sold (60,000 x $25) Gross margin Selling and administrative expenses Variable (60,000 x $2) $120,000 Fixed 200,000 Net income $2,400,000 1,500,000 900,000 320,000 $580,000 Note: Income under absorption costing is 41% greater if management produces 40,000 more units than necessary and builds up ending inventory. IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2011 [100,000 Units Produced; 60,000 Units Sold] Sales (60,000 x $40) Cost of goods sold (60,000 x $21) Gross margin Selling and administrative expenses Variable (60,000 x $2) $120,000 Fixed 200,000 Net income $2,400,000 1,260,000 1,140,000 320,000 $820,000 The 41% income increase is computed as: $820,000-$580,000 = 0.41 $580,000 19-31 C1 Planning Production: Income under Variable Costing for Different Production Levels Exhibit 19.14 For Year Ended December 31, 2011 [60,000 Units Produced; 60,000 Units Sold] Sales (60,000 x $40) Variable expenses Variable production costs (60,000 x $15) $900,000 Variable selling and administrative expenses (60,000 x $2) 120,000 Contribution margin Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 Net income $2,400,000 1,020,000 1,380,000 800,000 $580,000 For Year Ended December 31, 2011 [100,000 Units Produced; 60,000 Units Sold] Sales (60,000 x $40) Variable expenses Variable production costs (60,000 x $15) $900,000 Variable selling and administrative expenses (60,000 x $2) 120,000 Contribution margin Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 Net income $2,400,000 1,020,000 1,380,000 800,000 $580,000 19-32 C2 Setting Prices Over the Long Run: Price must be high enough to cover all costs, including variable costs and fixed costs, and still provide an acceptable return to owners 19-33 C2 Setting Prices Over the Short Run: Fixed production costs such as the cost to maintain plant capacity do not change with changes in production levels. With excess capacity, increases in production level would increase variable production costs, but not fixed costs. While managers try to maintain the long-run price on existing orders, which covers all production costs, managers should accept special orders provided the special order price exceeds variable cost. 19-34 C2 Setting Prices (Special Orders Illustration) Exhibit 19.15 Computing Incremental Income for a Special Order Rejecting Special Order Accepting Special Order Incremental sales $ 0 Incremental sales (1,000 x $22) Incremental costs 0 Incremental costs Variable production cost (1,000 x $15) ____ Variable selling expense (1,000 x $2) Incremental income $ 0 Incremental income $22,000 15,000 2,000 $ 5,000 From Exhibit 19.2 Unit Cost Computation at 60,000 units Absorption Costing Direct materials cost per unit……………... $4 Direct labor cost per unit…………. 8 Overhead cost Variable overhead cost per unit….. 3 Fixed overhead cost per unit……... 10 Total product cost per unit……………. $25 Should the company accept a special order for 1,000 pairs of skates at an offer price of $22 per pair? 19-35 P4 Limitations of Reports Using Variable Costing •For income tax purposes, absorption costing is the only acceptable basis for filings with the Internal Revenue Service (IRS) under the Tax Reform Act of 1986. •Absorption costing is the only acceptable basis for external reporting under both U.S. GAAP and IFRS. 19-36 A1 Calculating Breakeven We can use the data in the following contribution margin format for IceAge to help us determine break-even point. IceAge Company Contribution Margin Report For the Year Ended December 31, 2011 Sales Variable expenses Variable production costs $900,000 Variable selling expenses 120,000 Contribution margin Fixed expenses Net income $2,400,000 1,020,000 1,380,000 800,000 $580,000 Per Unit $ 40 17 $ 23 19-37 A1 Calculating Breakeven Contribution margin per unit = Sales price per unit – Variable cost per unit Break-even volume in units = Total fixed costs Contribution margin per unit 19-38 A1 Calculating Breakeven IceAge’s Contribution Margin per Unit = Sales price per unit – Variable cost per unit = $40 - $17 = $23 IceAge’s Break-Even Volume in Units $800,000 Total fixed costs = $23 per unit CM per unit = 34,783 units (rounded) 19-39 End of Chapter 19 19-40
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