Variable Costing: A Tool for Management McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-2 Beware of the Average Costs • • Is the average cost a variable or fixed cost? Recall that total costs include fixed costs that do not change with volume variable costs that do change with volume AC = TC / q = (VC + FC) / q = v + FC / q • Decisions based on average costs may be erroneous. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-3 Example: Vortex Inc. • Vortec has contracted with customers to sell 100,000 units $5.00 per unit. Its total cost with this contract is estimated to be $450,000, i.e., $4.50 per unit • Vortec has a new business opportunity to sell additional 2,000 units at $4 per unit. In that case, the estimated average cost is $4.47 for the total 102,000 units. • The additional sales do not affect the current administrative expenses $27,500. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-4 Example: Vortex Inc. • You are the owner of this company. • You are concerned about the price of the additional sales $4.00, which is lower than the average unit cost $4.47. What will you do for this additional sales opportunity? Provide an analysis guiding your decision of whether or not to sell the additional 2,000 units? McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-5 Example: Vortex Inc. • Units produced and sold Total Revenue and Costs: Sales ($5.00 regular, $4.00 special) Cost of sales ($4.50, $4.47) Administrative expenses Net profit before taxes McGraw-Hill/Irwin Current Special Order 100,000 102,000 $ 500,000 450,000 - 27,500 $ 22,500 $508,000 455.940 - 27,500 $ 24,560 Copyright © 2008, The McGraw-Hill Companies, Inc. 7-6 Example: Vortex Inc. Alternatively, • Incremental revenue (2,000 units x $4.00) • Incremental cost of 2,000 units $8,000 Total cost @ 102,000 units (102,000 x $4.47) 455,940 Total cost @ 100,000 units (100,000 x $4.50) 450,000 • Incremental profit of 2,000 units McGraw-Hill/Irwin 5,940 $2,060 Copyright © 2008, The McGraw-Hill Companies, Inc. 7-7 Example: Vortex Inc. • Is the average cost of $4.47 useful information? • How much is the average cost per unit to produce the additional 2,000 units? The incremental cost per unit of the 2000 units $(455,940 – 450,000) / 2000 = $5940 / 2000 = $2.97 < 4.47 McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-8 Learning Objective 1 Explain how variable costing differs from absorption costing and compute unit product costs under each method. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-9 Overview of Absorption and Variable Costing Absorption Costing Variable Costing Direct Materials Product Costs Product Costs Direct Labor Variable Manufacturing Overhead Fixed Manufacturing Overhead Period Costs McGraw-Hill/Irwin Variable Selling and Administrative Expenses Period Costs Fixed Selling and Administrative Expenses Copyright © 2008, The McGraw-Hill Companies, Inc. 7-10 Quick Check Which method will produce the highest values for work in process and finished goods inventories? a. Absorption costing. b. Variable costing. c. They produce the same values for these inventories. d. It depends. . . McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-11 Quick Check Which method will produce the highest values for work in process and finished goods inventories? a. Absorption costing. b. Variable costing. c. They produce the same values for these inventories. d. It depends. . . McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-12 Unit Cost Computations Harvey Company produces a single product with the following information available: McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-13 Unit Cost Computations Unit product cost is determined as follows: Under absorption and variable costing, selling and administrative expenses are always treated as period expenses and deducted from revenue as incurred. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-14 Learning Objective 2 Prepare income statements using both variable and absorption costing. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-15 Income Comparison of Absorption and Variable Costing Let’s assume the following additional information for Harvey Company. 20,000 units were sold during the year at a price of $30 each. There were no units in beginning inventory. Now, let’s compute net operating income using both absorption and variable costing. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-16 Absorption Costing McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-17 Variable Costing Variable manufacturing Variable Costing costs only. Sales (20,000 × $30) Less variable expenses: Beginning inventory $ Add COGM (25,000 × $10) 250,000 Goods available for sale 250,000 Less ending inventory (5,000 × $10) 50,000 Variable cost of goods sold 200,000 Variable selling & administrative expenses (20,000 × $3) 60,000 Contribution margin Less fixed expenses: Manufacturing overhead $ 150,000 Selling & administrative expenses 100,000 Net operating income McGraw-Hill/Irwin $ 600,000 All fixed manufacturing overhead is expensed. 260,000 340,000 250,000 $ 90,000 Copyright © 2008, The McGraw-Hill Companies, Inc. 7-18 Learning Objective 3 Reconcile variable costing and absorption costing net operating incomes and explain why the two amounts differ. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-19 Comparing the Two Methods McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-20 Comparing the Two Methods We can reconcile the difference between absorption and variable income as follows: Variable costing net operating income $ 90,000 Add: Fixed mfg. overhead costs deferred in inventory (5,000 units × $6 per unit) 30,000 Absorption costing net operating income $ 120,000 McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-21 Extended Comparisons of Income Data Harvey Company Year Two McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-22 Unit Cost Computations Since there was no change in the variable costs per unit, total fixed costs, or the number of units produced, the unit costs remain unchanged. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-23 Absorption Costing Absorption Costing Sales (30,000 × $30) Less cost of goods sold: Beg. inventory (5,000 × $16) Add COGM (25,000 × $16) Goods available for sale Less ending inventory Gross margin Less selling & admin. exp. Variable (30,000 × $3) Fixed Net operating income $ 900,000 $ 80,000 400,000 480,000 - $ 90,000 100,000 480,000 420,000 190,000 $ 230,000 These are 25,000 units produced in the current period. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-24 Variable Costing Variable manufacturing costs only. All fixed manufacturing overhead is expensed. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-25 Comparing the Two Methods We can reconcile the difference between absorption and variable income as follows: Variable costing net operating income $ 260,000 Deduct: Fixed manufacturing overhead costs released from inventory (5,000 units × $6 per unit) 30,000 Absorption costing net operating income $ 230,000 Fixed mfg. Overhead $150,000 = = $6.00 per unit Units produced 25,000 units McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-26 Summary of Key Insights McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-27 Effect of Changes in Production on Net Operating Income Let’s revise the Harvey Company example. In the previous example, 25,000 units were produced each year, but sales increased from 20,000 units in year one to 30,000 units in year two. In this revised example, production will differ each year while sales will remain constant. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-28 Effect of Changes in Production Harvey Company Year One McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-29 Unit Cost Computations for Year One Unit product cost is determined as follows: Since the number of units produced increased in this example, while the fixed manufacturing overhead remained the same, the absorption unit cost is less. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-30 Absorption Costing: Year One McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-31 Variable Costing: Year One Variable manufacturing Variable Costing costs only. Sales (25,000 × $30) Less variable expenses: Beginning inventory $ Add COGM (30,000 × $10) 300,000 Goods available for sale 300,000 Less ending inventory (5,000 × $10) 50,000 Variable cost of goods sold 250,000 Variable selling & administrative expenses (25,000 × $3) 75,000 Contribution margin Less fixed expenses: Manufacturing overhead $ 150,000 Selling & administrative expenses 100,000 Net operating income McGraw-Hill/Irwin $ 750,000 All fixed manufacturing overhead is expensed. 325,000 425,000 250,000 $ 175,000 Copyright © 2008, The McGraw-Hill Companies, Inc. 7-32 Effect of Changes in Production Harvey Company Year Two McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-33 Unit Cost Computations for Year Two Unit product cost is determined as follows: Since the number of units produced decreased in the second year, while the fixed manufacturing overhead remained the same, the absorption unit cost is now higher. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-34 Absorption Costing: Year Two Absorption Costing Sales (25,000 × $30) Less cost of goods sold: Beg. inventory (5,000 × $15) Add COGM (20,000 × $17.50) Goods available for sale Less ending inventory Gross margin Less selling & admin. exp. Variable (25,000 × $3) Fixed Net operating income $ 750,000 $ 75,000 350,000 425,000 - $ 75,000 100,000 425,000 325,000 175,000 $ 150,000 These are the 20,000 units produced in the current period at the higher unit cost of $17.50 each. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-35 Variable Costing: Year Two Variable manufacturing costs only. All fixed manufacturing overhead is expensed. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-36 Comparing the Two Methods Conclusions Net operating income is not affected by changes in production using variable costing. Net operating income is affected by changes in production using absorption costing even though the number of units sold is the same each year. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-37 Learning Objective 4 Understand the advantages and disadvantages of both variable and absorption costing. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-38 Variable versus Absorption Costing Fixed manufacturing costs must be assigned to products to properly match revenues and costs. Absorption Costing McGraw-Hill/Irwin Fixed manufacturing costs are capacity costs and will be incurred even if nothing is produced. Variable Costing Copyright © 2008, The McGraw-Hill Companies, Inc. 7-39 Impact on the Manager Opponents of absorption costing argue that shifting fixed manufacturing overhead costs between periods can lead to faulty decisions. These opponents argue that variable costing income statements are easier to understand because net operating income is only affected by changes in unit sales. This produces net operating income figures that are more consistent with managers’ expectations. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-40 CVP Analysis, Decision Making and Absorption costing Absorption costing does not support CVP analysis because it essentially treats fixed manufacturing overhead as if it is a variable cost by assigning a per unit amount of the fixed overhead to each unit of production. Treating fixed manufacturing overhead as a variable cost can: • Lead to erroneous decisions. • Example: Vortec Inc. • Produce a positive net operating income even when the number of units sold is less than the breakeven point. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. 7-41 Advantages of Variable Costing and the Contribution Approach Management finds it more useful. Consistent with CVP analysis. Net operating income is closer to net cash flow. Consistent with standard costs and flexible budgeting. Advantages Easier to estimate profitability of products and segments. Impact of fixed costs on profits emphasized. McGraw-Hill/Irwin Profit is not affected by changes in inventories. Copyright © 2008, The McGraw-Hill Companies, Inc. 7-42 Impact of JIT Inventory Methods In a JIT inventory system . . . Production tends to equal sales . . . So, the difference between variable and absorption income tends to disappear. McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc.