Variable Costing and Analysis Chapter 6 Wild and Shaw Managerial Accounting 5th Edition Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 1 6-P1: Compute unit cost under both absorption and variable costing. 3 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. • P1 3 Absorption Costing & Variable Costing Under variable costing, only costs that change in total with changes in production level are included in product costs. P1 4 Distinguishing between Absorption Costing and Variable Costing: Absorption Costing (Based on Exhibit 6.1) Absorption Costing Direct Materials Direct Labor Variable Overhead Fixed Overhead Product Cost P1 5 Distinguishing between Absorption Costing and Variable Costing: Variable Costing (Based on Exhibit 6.1) Variable Costing Direct Materials Direct Labor Product Cost Variable Overhead Fixed Overhead Period Cost P1 6 Difference between Absorption Costing and Variable Costing: Computing Unit Cost Exhibit 6.2 Summary Product 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 P1 7 Difference between Absorption Costing and Variable Costing: Computing Unit Cost Exhibit 6.2 Summary Product 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 6.3 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 P1 8 NEED-TO-KNOW A manufacturer reports the following data. Direct materials Direct labor Overhead costs: Variable overhead Fixed overhead Expected units produced $6.00 per unit $14.00 per unit $220,000 per year $680,000 per year 20,000 units $220,000 / 20,000 units = $11 per unit $680,000 / 20,000 units = $34 per unit 1) Compute the total product cost per unit under absorption costing. 2) Compute the total product cost per unit under variable costing. $6.00 $6.00 $14.00 $14.00 $31.00 per unit $65.00 per unit $11.00 $11.00 $34.00 $34.00 P1 Copyright © 2015 McGraw-Hill Education 9 Analysis of Income Reporting for Both Absorption and Variable Costing Summary Cost Information for 2013-2015 Manufacturing Costs Direct materials cost Direct labor cost Variable overhead cost $4 per unit $8 per unit $3 per unit Fixed overhead cost $600,000 per year Selling and Administrative Expenses Variable expenses $2 per unit Fixed expenses $200,000 per year Units Produced Units Sold Units in Ending Inventory 2013 2014 2015 60,000 60,000 60,000 60,000 40,000 80,000 0 20,000 0 P1 10 6-P2: Prepare and analyze an income statement using absorption costing and using variable costing. 11 Analysis of Income Reporting for Absorption Costing: Units Produced Equal Units Sold Exhibit 6.4 Income for 2013 ----Quantity Produced Equals Quantity Sold† IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2013 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 6.3 for unit cost computation under absorption and variable costing. P2 12 Analysis of Income Reporting for Variable Costing: Units Produced Equal Units Sold Exhibit 6.4 Income for 2013-----Quantity Produced Equals Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2013 Sales (60,000 x $40) $2,400,000 We can see that the income under variable Variable expenses Variable production costs costing is also $580,000. This is because (60,000 x $15*) $900,000 the number of units produced are equal to Variable selling and administrative the number of units sold. expenses (60,000 x $2) 120,000 1,020,000 Contribution margin 1,380,000 Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 $800,000 Net income $580,000 P2 A performance report that excludes fixed expenses and net income is a contribution margin report. It’s bottom line is contribution margin. 13 Contribution Margin Report IceAge Company Contribution Margin Report For the Year Ended December 31, 2013 Sales $ 2,400,000 Variable Expenses Variable production costs $900,000 Variable selling expenses 120,000 1,020,000 Contribution margin $ 1,380,000 Sales - Variable expenses = Contribution margin **Contribution margin contributes to covering fixed costs and earning income P2 14 Analysis of Income Reporting for Both Absorption and Variable Costing: Units Produced Equal Units Sold Exhibit 6.5 Production Cost Assignment for 2013 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 $ 240,000 480,000 180,000 $900,000 0 x $4 $0 0 x $8 0 0 x $3 0 0 $600,000 $600,000 Total Expense $0 P2 15 Analysis of Income Reporting for Variable Costing: Units Produced Exceed Units Sold Exhibit 6.6 Income for 2014-----Quantity Produced Equals Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2014 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 P2 16 Analysis of Income Reporting for Absorption Costing: Units Produced Exceed Units Sold Exhibit 6.6 Income for 2014----Quantity Produced Exceeds Quantity Sold† IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2014 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 2014 is $320,000 *Units produced equal 60,000; units sold equal 40,000. † See Exhibit 6.2 for unit cost computation under absorption and variable costing. P2 17 Analysis of Income Reporting for Variable Costing: Units Produced Exceed Units Sold Exhibit 6.6 Income for 2014----Quantity Produced Exceeds Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2014 Sales (40,000 x $40) Variable expenses Variable production costs (40,000 x $15*) $600,000 Variable selling and administrative Under variable costing, the expenses (40,000 x $2) 80,000 net income is only $120,000 Contribution margin Fixed expenses Fixed overhead 600,000 Fixed selling and administrative expense 200,000 Net income P2 $1,600,000 680,000 920,000 800,000 $120,000 18 Analysis of Income Reporting for Variable Costing: Units Produced Exceed Units Sold Exhibit 6.6 Income for 2014 ---Quantity Produced Exceeds Quantity Sold IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2014 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 P2 $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 920,000 periods. Variable costing expenses the entire $600,000 of fixed overhead. 800,000 $120,000 19 Analysis of Income Reporting for Both Absorption and Variable Costing: Units Produced Exceed Units Sold Exhibit 6.7 Production Cost Assignment for 2014 Cost of Goods Sold (Expense) Absorption Costing Ending Inventory (Asset) Direct materials Direct labor Variable overhead Fixed overhead Total costs Period Cost (Expense) Total 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) P2 20 Analysis of Income Reporting for Absorption Costing: Units Produced Are Less Than Units Sold Exhibit 6.8 Income for 2015—Quantity Produced is Less Than Quantity Sold† IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2015 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 6.3 for unit cost computation under absorption and variable costing. P2 21 Analysis of Income Reporting for Variable Costing: Units Produced Are Less Than Units Sold Exhibit 6.8 Continued IceAge Company Income Statement (Variable Costing) For Year Ended December 31, 2015 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 Fixed overhead 600,000 Income under variable Fixed selling and costing is $1,040,000 administrative expense 200,000 Net income $3,200,000 1,360,000 1,840,000 800,000 $1,040,000 P2 22 Analysis of Income Reporting for Both Absorption and Variable Costing: Units Produced Are Less Than Units Sold Exhibit 6.9 Production Cost Assignment for 2015 Cost of Good Sold (Expense) Absorption Costing Direct materials Direct labor Variable overhead Fixed overhead Total costs Ending Inventory (Asset) Period Cost (Expense) Total 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 $ 320,000 640,000 240,000 800,000 $ 2,000,000 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 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 P2 23 Summarizing Income Reporting Exhibit 6.10 Summary of Income Statements Units Produced Income for Income for and Sold Absorption Costing Variable Costing Difference 2013 Units produced: 60,000 $580,000 $580,000 $0 Units sold: 60,000 2014 Units produced: 60,000 320,000 120,000 200,000 Units sold: 40,000 2015 Units produced: 60,000 840,000 1,040,000 -200,000 Units sold: 80,000 Totals Units produced: 180,000 Units sold: 180,000 $1,740,000 $1,740,000 $0 P2 24 NEED-TO-KNOW Zbest Manufacturing reports the following costing data for the current year. 20,000 units were produced, and 14,000 units were sold. Direct materials per unit $6 per unit Direct labor per unit $11 per unit Variable overhead per unit $3 per unit Fixed overhead for the year $680,000 per year Sales price $80 per unit Variable selling and administrative cost per unit $2 per unit Fixed selling and administrative cost per year $112,000 per year 1. Prepare an income statement for the year using absorption costing. Product cost per unit using Absorption Costing: Direct materials per unit Direct labor per unit Variable overhead per unit Fixed overhead per unit ($680,000 / 20,000 units produced) Cost per unit $6.00 11.00 3.00 34.00 $54.00 Zbest Manufacturing Absorption Costing Income Statement Sales (14,000 units @ $80 per unit) Cost of goods sold (14,000 units @ $54 per unit) Gross margin Selling, general and administrative expenses: Variable selling and administrative expenses (14,000 x $2) Fixed selling and administrative expenses Total selling, general and administrative expenses Net income (loss) $1,120,000 756,000 364,000 $28,000 112,000 140,000 $224,000 P2 Copyright © 2016 McGraw-Hill Education 25 NEED-TO-KNOW Zbest Manufacturing reports the following costing data for the current year. 20,000 units were produced, and 14,000 units were sold. Direct materials per unit $6 per unit Direct labor per unit $11 per unit Variable overhead per unit $3 per unit Fixed overhead for the year $680,000 per year Sales price $80 per unit Variable selling and administrative cost per unit $2 per unit Fixed selling and administrative cost per year $112,000 per year 2. Prepare an income statement for the year using variable costing. Product cost using Variable Costing: Direct materials per unit $6.00 Direct labor per unit 11.00 Variable overhead per unit 3.00 Cost per unit $20.00 P2 Zbest Manufacturing Variable Costing Income Statement Sales (14,000 units @ $80 per unit) Less: Variable costs Variable production costs (14,000 x $20 per unit) Variable selling and administrative expenses (14,000 x $2) Total variable costs Contribution margin Less: Fixed expenses Fixed overhead costs Fixed selling and administrative expenses Total fixed expenses Net income (loss) $1,120,000 $280,000 28,000 308,000 812,000 680,000 112,000 792,000 $20,000 26 NEED-TO-KNOW Zbest Manufacturing Absorption Costing Income Statement Sales (14,000 units @ $80 per unit) Cost of goods sold (14,000 units @ $54 per unit) Gross margin Selling, general and administrative expenses: Variable selling and administrative expenses (14,000 x $2) Fixed selling and administrative expenses Total selling, general and administrative expenses Net income (loss) Zbest Manufacturing Variable Costing Income Statement Sales (14,000 units @ $80 per unit) Less: Variable costs Variable production costs (14,000 x $20 per unit) Variable selling and administrative expenses (14,000 x $2) Total variable costs Contribution margin Less: Fixed expenses Fixed overhead costs Fixed selling and administrative expenses Total fixed expenses Net income (loss) P2 Number of units added to inventory Fixed overhead per unit ($680,000 / 20,000 units) Change in income (Absorption vs. Variable) Copyright © 2016 McGraw-Hill Education $1,120,000 756,000 364,000 28,000 112,000 140,000 $224,000 $1,120,000 $280,000 28,000 308,000 812,000 680,000 112,000 792,000 $20,000 6,000 $34.00 $204,000 27 6-P3: Convert income under variable costing to the absorption cost basis. 28 Converting Reports under Variable Costing to Absorption Costing Income under variable costing is restated to that under absorption costing utilizing the following formula: Exhibit 6.11 Converting Variable Costing Income to Absorption Costing Income Income under Absorption costing = Income under variable costing + Fixed overhead cost in ending inventory ▬ Fixed overhead cost in beginning inventory P3 29 Converting Reports under Variable Costing to Absorption Costing Exhibit 6.12 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 2013 $580,000 0 0 $580,000 2014 $120,000 200,000 0 $320,000 2015 $1,040,000 0 -200,000 $840,000 To restate variable costing income to absorption costing income for 2014, we must add back the fixed overhead cost deferred in ending inventory. P3 Similarly, to restate variable costing income to absorption costing income for 2015, we must deduct the fixed overhead cost recognized from beginning inventory, which was incurred in 2014, but expensed in the 2015 cost of goods sold when the inventory was sold. 30 6-C1: Describe how absorption costing can result in overproduction. 31 Planning Production C1 Producing too much inventory Producing too little inventory Excess inventory Lost sales Higher storage and financing costs Customer dissatisfaction Greater risk of obsolescence 32 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? C1 The answer lies in the different treatment of fixed overhead costs within the two methods. So…under absorption costing, if excess units are produced, the fixed overhead cost allocated to those units is not expensed until a future period when those units are sold. Exactly! 33 Planning Production What would happen if IceAge’s manager decided to produce 100,000 units instead of 60,000? The 40,000 extra units would be stored in inventory and the total production cost PER UNIT is $4 less! Exhibit 6.13 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 C1 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 34 Planning Production: Income under Absorption Costing for Different Production Levels Exhibit 6.14 IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2013 [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 $240,000 greater if management produces 40,000 more units than necessary and builds up ending inventory. C1 IceAge Company Income Statement (Absorption Costing) For Year Ended December 31, 2013 [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 This shows that a manager can report increased income merely by producing more and disregarding whether the excess units can be sold or not. 35 Planning Production: Income under Variable Costing for Different Production Levels Exhibit 6.15 [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 [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 Under variable costing, even if I produce more units, it doesn’t effect the reported net income. C1 I actually have to SELL more units to increase my net income. 36 6-P4: Determine product selling price based on absorption costing. 37 How does management determine the sales price of a product? Although many factors impact pricing, cost is a crucial factor! Absorption cost information is useful because it reflects the full costs that sales must exceed for the company to be profitable. Over the long run, price must be high enough to cover all costs. P4 38 We can use a three-step process to determine product selling prices: • • • Step 1: Determine the product cost per unit using absorption costing. Step 2: Determine the target markup on product cost per unit. Step 3: Add the target markup to the product cost to find the target selling price P4 39 Example: IceAge will use absorption costing to determine a target selling price. Exhibit 6.16 Determining Selling Price with Absorption Costing Step 1 Absorption cost per unit (from Exhibit 6.3) $25 Step 2 Target markup per unit ($25 times 60%) 15 Step 3 Target selling price per unit $40 Start with product cost. In this example, they chose a markup of 60% of cost. So the target selling price is $40 per unit. Then, management needs to determine a target markup. P4 40 Controllable vs. Uncontrollable Costs? • Managers are responsible for their controllable costs. • • • A cost is controllable if a manager has the power to determine the amount incurred. Examples vary depending on the manager’s level in the company. Uncontrollable costs are not within the manager’s control or influence. • Example would be production capacity. P4 41 Limitations of Reports Using Variable Costing Realities that contribute to the widespread use of absorption costing by companies: •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. •Top executives are often awarded bonuses based on income computed using absorption costing. P4 42 6-A1: Use variable costing in pricing special orders. 43 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 A1 44 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. A1 45 Setting Prices (Special Orders Illustration) Should the company accept a special order for 1,000 pairs of skates at an offer price of $22 per pair? Exhibit 6.17 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: Incremental income $ 0 Variable production cost (1,000 x $15) Variable selling expense (1,000 x $2) Incremental income $22,000 5,000 2,000 $ 5,000 From Exhibit 6.3 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 A 1 product cost per unit……………. Total $25 Variable production cost = $15 ($4DM + $8DL + $3 VOH) Order should be accepted because the $22 order price exceeds the $15 variable cost of the product. 46 End of Chapter 6 47
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