Variable e Costing By Dr. Micha ael Constas s 18 Page 1 Pricing g and Pro ofitabilitty Analy ysis Absorption n As we have h seen n in previo ous chapte ers, when you manufactture your own inve entory, the e cost of that inventory y includes all of the e costs a associated with running the facto ory that p produces the inven ntory. Generally y, no partt of the fa actory costt is expen nsed. Instead, it is capita alized as tthe cost o of the inven ntory produced d. It is on nly expense ed when the invento ory is sold. Att that pointt the cost o of the inve entory beco omes Cost of Goods So old. This system is referred to o as Absorptio on Costing. It is also kknow as “Fu ull Costing”” and “Full-Absorption Co osting”. T The thought is thatt the inventory y absorbs all of the facctory costs ffully. As we have seen n, inventory y costs are e made up p of the fo ollowing un nder Absorption Costing:: Direct D Laborr; Direct D Materrials; and Manufacturin M ng Overhea ad (regardle ess of whetther it is fixe ed or variab ble). GAAP re equires tha at a firm mu ust use Absorption Cossting for alll of its finan ncial statem ments that are released to o outside pa arties. An alterrnative systtem to Abso orption Cos sting is Varriable Costting. Althou ugh GAAP does not perm mit Variable Costing, Variable Costing C is still widelyy used by companiess for internal purposes (e.g., in order to evaluate the perrformance o of a manager, a produ uct or a divisio on). With Variable Costing, the cos st of the inv ventory prod duced inclu udes only: Direct D Laborr; Direct D Materrial; and Variable V Manufacturing g Overhead d. Under Variable V Cos sting, Fixed d Manufactu uring Overh head is not treated as part of the cost of the in nventory pro oduced. In nstead, Fixe ed Manufa cturing Ove erhead is e expensed in n the current period. p Currently expensing a co ost is often referred to o as treating g it as a “pe eriod cost”. Capitalizing C p of the cost c of inve ntory is ofte en referred to as treatting it a cost as part as a “pro oduct cost”. The exc clusion of Fixed Manuffacturing Overhead O fro om the cosst of invento ory makes Cost of Goods Sold a pu urely Variab ble Cost. Please send s comm ments and corrections c to t me at [email protected] Variable e Costing By Dr. Micha ael Constas s Page 2 Variable Costin ng vs. Abs sorption Costing In addition to haviing a differrent definitiion of inve entory cost,, Variable C Costing usses a differentt Income Statement S format. f With W a Varia able Costin ng Income Statementt, we group expenses in nto Variable e Costs an nd Fixed Costs. The Variable C Costing Inccome Stateme ent first repo orts a company's Sale es Revenue e reduced b by its Varia able Costs. This differenc ce is referred to as s the "Co ontribution Margin." The Contrribution Ma argin represen nts the dollar amountt that a com mpany’s op perations “ccontribute” to help pa ay its Fixed Costs. C The e Variable Costing Income Stat ement then n reduces the compa any’s Contribu ution Margin n by its Fixe ed Costs. This Co ontribution Margin Fo ormat used by Variable Costiing is diffe erent from m the traditional Multi-Sttep Income Stateme ent associa ated with Absorption n Costing. A comparison of the two t formats s appears below: b ABSOR RPTION CO OSTING Sales Revenue oods Sold -Cost of Go Gross Margin or Grross Profit -Selliing, Genera al and Adm ministrative Expenses E Operating Profits VA ARIABLE COSTING Sales Reve enue -Varriable Costss and Expenses Contribution Ma argin -F Fixed Costss and Expenses O Operating Profits Assume e that Lucy’s Chocolate Facto ory, Inc. ha as the folllowing cossts, sales and production: Units Produced: Units Sold: Price Per Unit: Directt Materials: Directt Labor: Variab ble Manufaccturing Ove erhead: Fixed Manufactu uring Overhead: Variab ble Sell., Ge en. & Adm.. Exps.: Fixed Sell., Gen.. & Adm. Exxps.: C eac ch unit wou uld cost the following: Using Absorption Costing, Direct Materials: M Direct La abor: Variable e Manufactu uring Overh head: Fixed Manufacturin ng Overhea ad: Total Co osts Divide By B Number of Units Pro oduced Cost Per Unit $50,000 $30,000 $20,000 $50,000 $150 0,000 ÷10 0,000 $15 Please send s comm ments and corrections c to t me at [email protected] 10 0,000 10 0,000 $25 $50 0,000 $30 0,000 $20 0,000 $40 0,000 $30 0,000 $30 0,000 Variable Costing By Dr. Michael Constas Page 3 Using Variable Costing, each unit would cost the following: Direct Materials: Direct Labor: Variable Manufacturing Overhead: Total Costs Divide By Number of Units Produced Cost Per Unit $50,000 $30,000 $20,000 $100,000 ÷10,000 $10 The difference in cost of the units under the Absorption Costing Method ($15) and the Variable Costing Method ($10) is equal to the Fixed Manufacturing Overhead per unit ($5), which is included in inventory cost under Absorption Costing and is excluded from inventory cost under Variable Costing. Assuming that Lucy sold all of the units that it produced, you would have the following Income Statements produced by the two methods: Absorption Costing Income Statement Variable Costing Income Statement (25x10K) Sales Revenue: $250,000 (25x10K) Sales Revenue: $250,000 (15x10K) COGS: -150,000 Less VC: (10x10K) VCOGS: -100,000 VSG&Adm: -30,000 Gross Margin: $100,000 Contrib.Marg: $120,000 (30K+30K) Less FC: Less: SG&Adm: -60,000 F MO/H: -50,000 F SG&Adm: -30,000 Oper. Profits: $40,000 Oper. Profits: $40,000 As you can see, both methods produce the same Operating Profits. (This statement assumes that either: (i) your manufacturing costs are the same in the current period and prior periods, or (ii) you are using LIFO). On the other hand, if the number of units that you sell differs from the number of units produced in this period, then the Operating Profits reported using the two methods will differ. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 4 Assume that Lucy sold only one-half of its production. Because the number of units sold are one-half of the units that were sold previously then Lucy’s Variable Costs and Sales Revenue would be one-half of the figures reported above. Absorption Costing Income Statement Variable Costing Income Statement ½ (25x10K) Sales Revenue: $125,000 ½ (25x10K) Sales Revenue: $125,000 ½ (15x10K) Less VC: COGS: -75,000 VCOGS: -50,000 ½ (10x10K) ½ (30K) VSG&Adm: -15,000 Gross Margin: $50,000 Contrib.Marg: $60,000 (30K+ ½ 30K) Less FC: Less: SG&Adm: -45,000 F MO/H: -50,000 F SG&Adm: -30,000 Oper. Profits: $5000 Oper. Profits: -$20,000 The difference in the Operating Profits reported by the two methods is attributable to the different treatment of Fixed Manufacturing Overhead allocated to the unsold units under Absorption Costing. With Variable Costing, the entire Fixed Manufacturing Overhead Cost ($50,000) is expensed in the current period. With Absorption Costing, the Fixed Manufacturing Overhead is divided into a per unit cost ($5) and added to the Variable Cost of each unit ($10) to produce the total cost of each unit manufactured ($15). When only half of the units are sold, then only half of the Fixed Manufacturing Overhead is expensed. The difference between the Operating Profits reported using the two methods [$5,000 – (-$20,000) = $25,000] is equal to the amount of Fixed Manufacturing Overhead that is added to the cost of the unsold units: Fixed Manufacturing Overhead Per Unit x Unsold Units $5 x 5,000 = $25,000 Because the Fixed Manufacturing Overhead that is not expensed is added to the cost of the inventory, the inventory cost is $25,000 higher using Absorption Costing than it is using Variable Costing. With Absorption Costing the inventory cost is $15 per unit and the cost of the 5,000 unsold units is $75,000. On the other hand, with Variable Costing, the inventory cost is $10 per unit, and the cost of the 5,000 unsold units is $50,000. Potential Abuse of Absorption Costing As you will recall from our discussion of Cost Behavior, with a linear cost function, the Variable Cost per unit does not change as production increases (V=Vx↑/x↑) because the total Variable Costs (numerator) go up proportionately as you produce more units (denominator). On the other hand, the Fixed Cost per unit drops as you produce more units [(FC per unit)↓=F/(x↑)] because you are dividing the same amount of Fixed Costs by a larger denominator as you increase your production. As noted above, Fixed Manufacturing Costs are part of the cost of inventory with Absorption Costing. The total cost of each unit (both fixed and variable) will drop as you Please send comments and corrections to me at [email protected] Page 5 Variable e Costing By Dr. Micha ael Constas s produce e more units because of the factt that you a are reducin ng the fixed d portion off that cost. By y increasing the numb ber of units s that it pro oduces, a firm can low wer its inven ntory cost perr unit and thereby t low wer its Cos st of Goodss Sold and d increase its profits. The freedom m to produce e inventory y solely to generate g hiigher profitss is a licen nse to print your own money. For example, e a assume tha at Ye Old Mint Co. p prints comm memorative coins. Itss cost functtion is $5,0 000 + $1 pe er unit prod duced, and each coin can be solld for $1.90 0. If Ye Old Mint produ uces 10,000 0 units, the total cost to t produce e 10,000 units is $15 5,000 [$5,000 + ($1x10,000)], an nd the cosst of each h unit is $1.50. w make 4 40 cents o on each un nit sold ($1.90 Mint will $1.50 0) at this prroduction le evel. On th he other han nd, if it pro oduces 50 ,000 unitss, then the e total cosst to produ uce 50,00 00 units is $55,00 00 [$5,000 0 + ($1x5 50,000)], an nd the cosst of each h unit is $1.10. Mint will w make 8 80 cents on n each unit that it sells at this production p level ($1.9 90 - $1.10)). As you can First U.S. Mint see, Mint dou bled its p profits und der Absorption Costing without sellling any mo ore units merely by pro roducing mo ore invento ory. Pro oduce & Se ell 10,000 units u K) Sales Revenue: $19,000 (1.90x10K ($1.5x10K K) COGS S: -15,000 K) Oper. Profits: $4,000 (40¢x10K Produce e 50,000 Units & Selll 10,000 Un nits (1.9x1 10K) Sales R Revenue: $19,000 ($1.10x1 10K) COGS: -11,000 (80¢x1 10K) Oper. P Profits: $8,000 A number of mana agers and companies c have disco overed thatt they can increase profits through overproduc ction of unitts, and they y have prod duced more e inventory than they n need or the purpo ose of boos sting their Operating O Profits. solely fo This ma anipulation of o profits is not possib ble with Varriable Costing. With Va ariable Cossting, all Fixed d Costs (in ncluding Fix xed Manuffacturing O Overhead) a are expenssed in the year incurred d. The cost of your inventory is made m up sollely of Varia able Costs.. Regardless of the num mber of units s that you produce, p the e inventoryy cost (Varia able Cost) sstays the sa ame. If Mint produces 10,000 1 unitts, the tota al cost to produce th he units is $10,000 (($1 x 10,000),, and each unit costs $1. $ If Mint produces 5 50,000 unitss, the total cost to produce the units s is $50,000 0 ($1 x 50,0 000), which h is still $1 p per unit. Please send s comm ments and corrections c to t me at [email protected] Variable Costing By Dr. Michael Constas Page 6 With Variable Costing, Mint would report $4,000 of Operating Profits regardless of the number of units produced: Produce & Sell 10,000 units Sales Revenue: $19,000 (1.90x10K) ($1x10K) VCOGS: -10,000 Contrib. Marg: $9,000 F MO/H: -5,000 Oper. Profits: $4,000 Produce 50,000 Units & Sell 10,000 Units (1.90x10K) Sales Revenue: $19,000 ($1x10K) VCOGS: -10,000 Contrib. Marg: $9,000 F MO/H: -5,000 Oper. Profits: $4,000 Variable Costing always produces the same amount of Operating Profits as that generated using Absorption Costing when 10,000 units were produced and sold ($4,000). For this reason, the Operating Profits reported using Variable Costing are compared to the Operating Profits reported using Absorption Costing. The Operating Profits produced by Variable Costing tells you the amount of Operating Profits that would have been reported using Absorption Costing if the manager (or firm) had only produced enough units to meet sales demands. It exposes the manipulation of Operating Profits produced by making unsold units. Although, producing unneeded units improves Operating Profits, this overproduction is actually detrimental to the firm. The unsold units are not free. The firm expended the Variable Costs needed to produce the units. Thus, you are tying up valuable resources in the cost of the unsold inventory (as well as the cost to store the unsold inventory) that could be used elsewhere. The current trend in inventory management is to try to reduce inventory levels and thereby reduce such inventory and storage costs (e.g., the growing popularity of the Just In Time Inventory System). Moreover, once you produce this excess inventory, you cannot sell it without hurting your Operating Profits in the year of sale. If you ever sell more units than you produce, then Variable Costing will have higher Operating Profits than those produced using Absorption Costing. Assume that Ye Old Mint Co. has the following production and sales levels: First Year Second Year Units Produced 50,000 10,000 Units Sold 10,000 50,000 As noted previously, the following inventory costs is produced at the following production levels using Absorption Costing and Variable Costing: First Year Second Year Units Produced 50,000 10,000 Absorption Costing $1.10 per unit $1.50 per unit Variable Costing $1 per unit $1 per unit Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 7 In the first year, Absorption Costing will report Operating Profits that are $4,000 higher than those reported using Variable Costing: Variable Costing Absorption Costing (1.90x10K) Sales Revenue: $19,000 Sales Revenue: $19,000 (1.90x10K) ($1x10K) COGS: -11,000 ($1.10x10K) VCOGS: -10,000 (80¢x10K) Contrib. Marg: Oper. Profits: $8,000 $9,000 F MO/H: -5,000 Oper. Profits: $4,000 The difference in Operating Profits is due to transferring $4,000 of Fixed Manufacturing Overhead away from Cost of Goods Sold to the cost of the unsold inventory, which is an asset on the Balance Sheet. Note that when Mint produces 50,000 units, the Fixed Manufacturing Overhead ($5,000) is spread over all of those units and produces a per unit cost of 10¢ ($5,000/50,000): F MO/H per Unit X Unsold Units 10¢ X 40,000 = Absorption Costing Profits exceed Variable Costing Profits by: = $4,000 As you can see, when you produce more units than you sell, then your Operating Profits are higher using Absorption Costing than those produced using Variable Costing. In the second year, however, Mint sells more units than it produces, and the opposite is true: Absorption Costing Variable Costing (1.9x50K) Sales Revenue: Sales Revenue: $95,000 $95,000 COGS: -59,000 ($1.10x40K)+ VCOGS: -50,000 Oper. Profits: $36,000 ($1.5 x 10K) (80¢x10K) Contrib. Marg: F MO/H: Oper. Profits: (1.90x50K) ($1x50K) $45,000 -5,000 $40,000 Now, all of the Fixed Manufacturing Overhead that was not expensed (and was placed in inventory) during the first year under Absorption Costing now moves to Cost of Goods Sold. This makes Mint’s expenses $4,000 higher than they are using Variable Costing. Recall that with Variable Costing all of the Fixed Manufacturing Overhead was expensed in the first year, which is why the Operating Profits reported using Variable Costing were lower in the first year. Variable Costing has no deferred Fixed Manufacturing Overhead Cost that is recaptured upon the sale of the inventory. F MO/H per Unit X Unsold Units 10¢ X -40,000 = Absorption Costing Profits exceed Variable Costing Profits by: = -$4,000 This time we dipped into inventory levels. Thus, there are negative unsold units. The negative amount of profits indicates that the Variable Costing Method produces Please send comments and corrections to me at [email protected] Variable e Costing By Dr. Micha ael Constas s Page 8 Operatin ng Profits that are $4,000 $ high her than th hose reporrted using the Absorption Method. Variable Costin ng Examp ple The follo owing inform mation relates to Robin Toy Co: Sales Price: P Variable e Costs and d Expenses s: Direct D Laborr: Direct D Materrials: Variable V Man nufacturing g Overhead: Variable V Selling, Generral & Administtrative Expe enses: Fixed Costs C and Expenses: E Fixed Manuffacturing Ov verhead: g, General & Fixed Selling Administtrative Expe enses: $15 $1/ unit produced $2/ unit produced $1/ unit produced $2/ unit sold 0 $60,000 $40,000 0 What arre the Operrating Profitts of Robin n if it manuffactures an nd sells 10,000 units u using both Abs sorption Co osting and Variable V Co osting? The firstt thing that you should d always do o with these e problems is to calcu ulate the Co ost of Goods Manufacture M ed per unit using each h method. Absorptiion Costing g: Direct Matterials: Direct Lab bor: Variable Manufacturi M ing Overhead: Fixed Man nufacturing Overhead:: $ 20,0 000 10,0 000 10,0 000 60,0 000 Total Man nufacturing Cost: Divide By The Numb ber of Units Produced: $100,000 ÷10,000 Manufactu uring Cost Per P Unit: (2x10,,000) (1x10,,000) (1x10,,000) $10 e Costing: Variable Direct Matterials: Direct Lab bor: Variable Manufacturi M ing Overhead: Total Man nufacturing Cost: Divide By The Numb ber of Units Produced: Manufactu uring Cost Per P Unit: $ 20,0 000 10,0 000 10,0 000 (2x10,,000) (1x10,,000) (1x10,,000) $40,000 ÷10,000 $4 Please send s comm ments and corrections c to t me at [email protected] Variable Costing By Dr. Michael Constas Page 9 Note that the Fixed Manufacturing Overhead per unit is $6 ($60,000/10,000 units), which is the difference between the costs produced by the two methods ($10 - $4 = $6). As we have seen before, because Robin sold exactly the number of units that it manufactured, the two methods produce the same Operating Profits: ABSORPTION COSTING Sales Revenue: $150,000 (15x10K) Cost of Goods Sold: -100,000 (10x10K) Gross Margin: Selling & Administrative: $50,000 -$60,000 Operating Profits: -$10,000 (40K+(2x10K)) VARIABLE COSTING Sales Revenue: $150,000 Var. COGS: Var Sell. & Adm: -40,000 -20,000 Contribution Margin: $90,000 Fxd. Manuf. OH: Fxd. Sell. & Adm: -60,000 -40,000 Operating Profits: -10,000 (15x10K) (4x10K) (2x10K) Now, let us examine what happens when Robin doubles its production to 20,000 units. Assume that it still sells 10,000 units. Again, you must first calculate the Cost of Goods Manufactured per unit for each method. Absorption Costing: Direct Materials: Direct Labor: Variable Manufacturing Overhead: Fixed Manufacturing Overhead: $ 40,000 20,000 20,000 60,000 Total Manufacturing Cost: Divide By The Number of Units Produced: $140,000 ÷20,000 Manufacturing Cost Per Unit: (2x20,000) (1x20,000) (1x20,000) $7 Note what happened to the cost of one unit under Absorption Costing when we increased production. It decreased from $10 to $7. This difference is due solely to the Fixed Manufacturing Overhead. The Fixed Manufacturing Overhead has now dropped to $3 per unit ($60,000/20,000 units) from the previous $6 per unit. Variable Costing: Direct Materials: Direct Labor: Variable Manufacturing Overhead: Total Manufacturing Cost: Divide By The Number of Units Produced: Manufacturing Cost Per Unit: $ 40,000 20,000 20,000 (2x20,000) (1x20,000) (1x20,000) $80,000 ÷20,000 $4 Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 10 Note that the inventory cost of one unit did not change under Variable Costing. Because Robin sold less units than it manufactured, the two methods produce different Operating Profits figures: ABSORPTION COSTING VARIABLE COSTING Sales Revenue: Cost of Goods Sold: $150,000 -70,000 (15x10K) (7x10K) Sales Revenue: Gross Margin: Selling & Administrative: $80,000 -$60,000 (40K+(2x10K)) Contribution Margin: $90,000 Fxd. Manuf. OH: Fxd. Sell. & Adm: -60,000 -40,000 Operating Profits: -10,000 Operating Profits: $20,000 Var. COGS: Var Sell. & Adm: $150,000 -40,000 -20,000 (15x10K) (4x10K) (2x10K) Note that the Operating Profits produced using Variable Costing did not change. It stayed at a loss of $10,000. The Operating Profits reported using Absorption Costing improved from the original loss of $10,000 to a profit of $20,000. Why? Robin did not produce more revenue than before. This $30,000 increase in the Operating Profits came solely from reducing the cost of Robin’s inventory from $10 per unit to $7 per unit. Remember that Variable Costing expenses all of the Fixed Manufacturing Overhead. However, with Absorption Costing, the Fixed Manufacturing Overhead ($3 per unit) that is attributable to the unsold units (10,000 units) was removed from the expenses on the Income Statement and added to the cost of Inventory on the Balance Sheet: Fixed Manufacturing Overhead Per Unit x Unsold Units $3 x 10,000 = $30,000 So, Absorption Costing allowed Robin to reduce its total expenses by $30,000 as a result of its production of unneeded units. Variable Costing did not permit such a reduction in expenses. Dropping A Division or Product When we discussed Relevant Costing, we saw that costs that do not disappear when a product or division is dropped (unavoidable costs) are not relevant in making a decision about whether to drop a division or product. Only costs that disappear when a product or division is dropped (avoidable costs) are relevant. The Variable Costing Income Statement helps to isolate avoidable and unavoidable costs because Variable Costs, by definition, are avoidable costs. If you reduce your production, by dropping a division or a product, these costs will go down. Although the Absorption Income Statement mixes Fixed Costs and Variable Costs, the Variable Costing Income Statement isolates the two types of costs. The Contribution Margin is relevant in making a decision about Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 11 dropping a division or product. If the division or product has a negative Contribution Margin, then it should be dropped. Although it is relevant, the Contribution Margin, however, is not the only information that you need to know. As we have seen previously, Fixed Costs can be divided into two classes: Common Fixed Costs – the Fixed Costs that are common to all divisions or products and that will not disappear if a product or division is dropped (unavoidable); and Direct Fixed Costs – the Fixed Costs that can be traced to a product or division and that will disappear if a product or division is dropped (avoidable). As we have noted previously, because Direct Fixed Costs will be reduced if you drop a division or product, they are therefore relevant to the decision of whether to discontinue a product or division. Assume that Carmen’s Banana Business, Inc. produces and sells three popular banana products: Bananas, Banana Bread, and Banana Pudding. Carmen has the following revenue and costs (numbers in thousands): Sales Revenue: Variable Costs: Manager Salaries: Rent: Product Margin /Oper. Prof. Fruit Bread Pudding Total $600 $400 $400 $1,400 -100 -100 -200 -400 -50 -50 -50 -150 -200 -200 -700 -300 $150 50 -50 $150 In an Absorption Income Statement, the Variable and Fixed Costs would be commingled, and the Product Margin of the Banana Pudding (-50) would suggest that it should be dropped. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 12 When a Variable Costing Income Statement is used, however, it becomes less clear that the Banana Pudding product line should be dropped: Sales Revenue: Less Variable Costs: Variable Costs: Contribution Margin: Less Fixed Costs: Manager Salaries: Rent: Operating Profits: Fruit Bread $600 $400 -100 $500 -100 $300 Pudding Total $400 $1,400 -200 -400 $200 $1,000 -150 -700 $150 The Banana Pudding’s positive Contribution Margin indicates that the revenue produced from selling the pudding is sufficient to: (i) pay the Variable Costs incurred in the production of the pudding, as well as (ii) pay part of the Fixed Costs of the Company. Unfortunately, a Variable Costing Income Statement does not contain any information regarding whether Fixed Costs are avoidable (Direct Fixed Costs) or unavoidable (Common Fixed Costs). This must be added to the Variable Costing Income Statement. Direct Fixed Costs should be allocated to a division or product. Only Common Fixed Costs should appear only in the “Total” column. In the above example, assume that the rent is a Common Fixed Cost and the salaries of the managers represent Direct Fixed Costs. Sales Revenue: Less Variable Costs: Variable Costs: Contribution Margin: Less Direct Fixed Costs: Manager Salaries: Product Margin: Less Common Fixed Costs: Rent: Operating Profits: Fruit Bread $600 $400 Pudding Total $400 $1,400 -100 $500 -100 $300 -200 -400 $200 $1,000 -50 $450 -50 $250 -50 $150 -150 $850 -700 $150 This modified Variable Costing Income Statement segregates Direct Fixed Costs from Common Fixed Costs. This format makes it clear that the Banana Pudding product line should not be dropped. It shows that Banana Pudding contributes $150,000 to Carmen’s Operating Profits. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 13 Since Carmen has only $150,000 of Operating Profits, if Banana Pudding is dropped, then Carmen’s Operating Profits will disappear (150,000 – 150,000 = 0): Fruit Bread Sales Revenue: Less Variable Costs: Variable Costs: Contribution Margin: Less Fixed Costs: Manager Salaries: Product Margin: Rent: Operating Profits: Total $600 $400 $1.000 -100 $500 -100 $300 -200 $800 -50 $450 -50 $250 -100 $700 -700 $0 Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 14 PROBLEMS E-1. In an income statement prepared as an internal report using the variable costing method, variable selling and administrative expenses would: A) not be used. B) be treated the same as fixed selling and administrative expenses. C) be used in the computation of net operating income but not in the computation of the contribution margin. D) be used in the computation of the contribution margin. E-2. If the number of units produced exceeds the number of units sold, then net operating income under absorption costing will: A) be equal to the net operating income under variable costing. B) be greater than net operating income under variable costing. C) be equal to the net operating income under variable costing plus total fixed manufacturing costs. D) be equal to the net operating income under variable costing less total fixed manufacturing costs. Use the following to answer questions E-3 through E-6: Janos Company, which has only one product, has provided the following data concerning its most recent month of operations: Selling price ............................................. $111 Units in beginning inventory ................... Units produced ......................................... Units sold ................................................. Units in ending inventory ........................ 300 2,000 2,200 100 Variable costs per unit: Direct materials..................................... Direct labor ........................................... Variable manufacturing overhead ......... Variable selling and administrative ...... $29 30 4 9 Fixed costs: Fixed manufacturing overhead ............. Fixed selling and administrative ........... $34,000 39,600 The company produces the same number of units every month, although the sales in units vary from month to month. The company's variable costs per unit and total fixed costs have been constant from month to month. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 15 E-3. What is the unit product cost for the month under variable costing? A) $63 B) $80 C) $72 D) $89 E-4. What is the unit product cost for the month under absorption costing? A) $80 B) $72 C) $63 D) $89 E-5. What is the net operating income for the month under variable costing? A) $8,800 B) $12,200 C) $1,700 D) $24,800 E-6. What is the net operating income for the month under absorption costing? A) $8,800 B) $24,800 C) $1,700 D) $12,200 Use the following to answer questions E-7 through E-10: Kosco Corporation's absorption costing income statement for March follows: Kosco Corporation Income Statement For the Month Ended March 31 Sales (2,400 units).................................................... Cost of goods sold: Beginning Inventory (100 units)........................... Add Cost of Goods Manufactured (2,500 units)... Goods Available for Sale ...................................... Less Ending Inventory (200 units)........................ Cost of Goods Sold .................................................. Gross Margin ........................................................... Less Selling and Administrative Expenses: Fixed ..................................................................... Variable ................................................................. Net Operating Income.............................................. $48,000 $ 1,000 25,000 26,000 2,000 24,000 24,000 7,200 9,600 Please send comments and corrections to me at [email protected] 16,800 $ 7,200 Variable Costing By Dr. Michael Constas Page 16 During March, the company's variable production costs were $8 per unit and its fixed manufacturing overhead totaled $5,000. E-7. Net operating income under the variable costing method for March would be: A) $7,200. B) $7,000. C) $7,600. D) $6,800. E-8. The contribution margin per unit during March was: A) $8. B) $12. C) $10. D) $3. E-9. The break-even point in units for the month under variable costing would be: A) 600 units. B) 900 units. C) 1,017 units. D) 1,525 units. E-10. The dollar value of Kosco's ending inventory on March 31 under variable costing would be: A) $1,600. B) $2,400. C) $2,000. D) $3,400. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas P-1 Page 17 Assume that a company has four divisions, which performed as reported below. Sales: Variable Costs Fixed Costs Operating Profit A B C D Total $1,000 $2,000 $1,000 $1,000 -660 -1,200 -800 -400 -300 -300 -300 -600 $50 $200 -$100 $300 $450 Sixty percent of the Fixed Costs allocated to each division costs are common to the company as a whole (e.g., the president's salary). These costs are allocated using the relative sales of each of the divisions. Forty percent of the Fixed Costs are specific to the division listed. The company's president, who never had Cost Accounting, has decided to drop any unprofitable divisions. This economy is stagnant and all revenues and costs remain the same each year. Apart from the President’s decision, should the company drop any division? What is going to happen if the company follows this edict in the first year? What is going to happen if the company follows this edict in the second year? What is going to happen if the company follows this edict in the third year? What is going to happen if the company follows this edict in the fourth year? Is there a fifth year? P-2 Wilmont Company's executive committee was meeting to select a new vicepresident of operations. The leading candidate was Howard Kimball, manager of Wilmont's largest division. Howard had been divisional manager for three years. The president of Wilmont, Larry Olsen, was impressed with the significant improvements in the division's profits since Howard had assumed command. In the first year of operations, divisional profits had increased by 20 percent. They had shown significant improvements for the following two years as well. To bolster support for Howard, the company's president circulated the following divisional income statements (dollars in thousands): 1995 1996 1997 Sales (in thousands): Less: Cost Of Goods Sold:* $30,000 (26,250) $32,000 (26,400) $34,000 (27,200) Gross Margin Less: Selling and Administrative:** $ 3,750 (3,000) $ 5,600 (3,600) $ 6,800 (3,800) Operating Profit: * Assumes a LIFO inventory flow ** All costs are fixed $ $ 2,000 $ 3,000 750 "As you can see," Larry observed at a meeting, "Howard has increased profits Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 18 by a factor of four since 1995. That's by far the most impressive performance of any divisional manager. We could certainly use someone with that kind of drive. I definitely believe that Howard should be the new vice-president." "I'm not quite as convinced that Howard's performance is as impressive as it appears," responded Bill Peters, the vice-president of finance. "I could hardly believe that Howard's division could show the magnitude of improvement revealed by the income statements, so I asked the divisional controller to supply some additional information. As the data suggest, the profits realized by Howard's division may be attributable to a concerted effort to produce for inventory. In fact, I believe it can be shown that the division is actually showing a loss each year and that real profits have declined by as much as 15 percent since 1995." Peters then showed the following information: 1995 1996 1997 Sales (units): 150,000 160,000 170,000 Production*: 200,000 250,000 300,000 Fixed Manuf. OH: $15,000,000 $15,000,000 $15,000,000 Fixed Manufacturing $75 $60 $50 Overhead Rate: Unit Variable Production $100 $105 $110 Costs * Represents both expected and actual production. Fixed overhead rates are computed using expected actual production. 1. Explain what Bill Peters meant by "producing for inventory." 2. Recast the income statements in a variable-costing format. Now how does the performance of the division appear? 3. Reconcile the differences in the income figures using the two methods for each of the three years. 4. If you were a shareholder, how could you detect income increases that are caused mainly by production for inventory? Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas P-3 Page 19 Jackson, Inc. has just completed its first year of operations. The unit costs are as follows: Manufacturing costs (per unit): Direct Materials Direct Labor Variable Manufacturing Overhead Fixed Manufacturing Overhead Total Non-Manufacturing costs: $ 4.00 10.50 3.00 4.50 (2 lbs. @ $2) (1.5 hrs @ $7) (1.5 hrs @ $2) (1.5 hrs @ $3) $22.00 Variable: Fixed: 10% of Sales $200,000 During the year, the company had the following activity: Units Produced Units Sold Unit Selling Price Direct Labor Hours Worked 25,000 20,000 $40 37,500 Actual Fixed Manufacturing Overhead was $10,000 greater than the budgeted Fixed Manufacturing Overhead. Actual Variable Manufacturing Overhead was $5,000 greater than budgeted Variable Manufacturing Overhead. The company used an expected actual activity level of 37,500 Direct Labor Hours to compute the predetermined overhead application rates. Assume that any overhead variances (e.g., $10,000 fixed overhead variance and $5,000 variable overhead variance) are added to Cost of Goods Sold when the underlying cost (Fixed Manufacturing Overhead or Variable Manufacturing Overhead) is added to COGS. 1. Compute the unit cost using (a) Absorption Costing and (b) Variable Costing. 2. Prepare an Absorption Costing Income Statement. 3. Prepare a Variable Costing Income Statement. 4. Reconcile the difference between the two Income Statements. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas P-4 Page 20 Nancy Henderson has just been appointed manager of Palmroy's glass products division. She has two years to make the division profitable. If the division is still showing a loss after two years, it will be eliminated, and Nancy will be reassigned as an assistant divisional manager in another division. The divisional income statement for the most recent year is given below. Sales Less: Variable Expenses $5,350,000 -4,750,000 Contribution Margin Less: Direct Fixed Expenses $ 600,000 -$750,000 Divisional margin Less: Common fixed expenses (allocated) -$150,000 -200,000 Divisional Operating Loss -$350,000 Upon arriving at the division, Nancy requested the following data on the division's three products: Sales (units): Unit Selling Price: Unit Variable Cost: Direct Fixed Costs: Product A Product B Product C 10,000 $150 $100 $100,000 20,000 $140 $110 $500,000 15,000 $70 $103.33 $150,000 She also gathered data on a proposed new product (Product D). If this product is added, it would displaced one of the current products. The quantity that could be produced and sold would equal the quantity sold of the product it displaces, although demand limits the maximum quantity that could be sold to 20,000 units. Because of specialized production equipment, it is not possible for the new product to displace part of the production of a second product. The information on Product D is as follows: Unit Selling Price: Unit variable Cost: Direct Fixed Costs: $ 70 $ 30 $ 640,000 1. Prepare segmented income statements for Products A, B, and C. 2. Determine the products that Nancy should produce for the coming year. Prepare segmented income statements that prove your combination is the best for the division. By how much will profits improve given the combination that you selected? (Hint: Your combination may include one, two, or three products.) Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas P-5 Page 21 "This makes no sense at all," said Bill Sharp, president of Essex Company. "We sold the same number of units this year as we did last year, yet our profits have more than doubled. Who made the goof -- the computer or the people who operate it?" The statements to which Mr. Sharp was referring are shown below (absorption costing basis): 2001 2002 Sales (20,000 units each year) $700,000 $700,000 Less cost of goods sold 460,000 400,000 Gross margin $240,000 $300,000 Less selling and administrative expenses $200,000 200,000 Income before income taxes $40,000 $100,000 The company was organized on January 1, 2001, so the previous statements show the results of its first two years of operation. In the first year, the company produced and sold 20,000 units; in the second year, the company again sold 20,000 units, but it increased production in order to have a stock of units on hand, as shown here: 2002 2001 Production in units 20,000 25,000 Sales in units 20,000 20,000 Variable production cost per unit $8 $8 Fixed overhead costs (total) $300,000 $300,000 Fixed overhead costs are applied to units of product on a basis of each year's production. (The company produces and sells a single product.) Variable selling and administrative expense are $1 per unit sold. Required: A. Compute the manufacturing cost of single unit of product for year 2002 under both absorption costing and variable costing. B. What is the value of ending inventory in 2002 under full cost and variable cost? C. What is the income before taxes in 2002 using variable costing? D. Reconcile the income in 2002 under the two methods? Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas P-6 Page 22 The following information was made available concerning the four departments of the Roast Company. Sales Var. COGS Oper. Exps.: Fixed Variable Dept. A. $ 50,000 (30,000) Dept. B. $ 20,000 (10,000) Dept. C. $100,000 (70,000) Dept. D. $ 70,000 (45,000) (10,000) (8,000) ------------ (4,000) (3,000) ------------ ( 8,000) (22,000) ------------ (14,000) (12,000) ------------ Operating Profit (Loss): 2,000 3,000 0 (1,000) ======= ======= ======= ======= Chuck Roast, the president of the company, has decided that one department must be dropped. One-half of the fixed costs shown above are direct fixed costs. Assuming a department must be dropped, which department should be dropped so as to give the greatest benefit to the company? __________ Explain how you reached your decision. Show computations. What will be the company's operating profit after the department is dropped? __________ What do you think of Chuck Roast's decision to drop a department? SOLUTIONS E-1 The answer is d. All variable costs and expenses are subtracted from Sales Revenue to produce the contribution margin. E-2 The answer is b. The amount by which the operating income reported under absorption costing exceeds the operating income reported under variable costing is given by the following formula. Fixed Factory Overhead Per Unit x Unsold Units E-3 The answer is a. Variable costing only includes variable manufacturing costs in the cost of a product. ($29 + $30 + 4 = $63). E-4 The answer is a. Absorption costing includes all manufacturing costs in the cost of a product. This would include all of the variable manufacturing costs ($63) plus the fixed manufacturing cost per unit of $17. ($34,000/2,000 units produced). That is $80. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas E-5 The answer is b. Sales Revenue: Less Variable Costs: Variable COGS: Var. S,G&Adm: Contribution Margin: Less Fixed Costs: Fixed Manf. Costs: Fixed S,G&Adm: Operating Profit E-6 Page 23 $244,200 ($111 x 2,200) $138,600 19,800 ($63 x 2,200) ($9 x 2,200) -158,400 $85,800 $34,000 39,600 -73,600 $12,200 The answer is a. You could do an absorption costing income statement or you could use the formula that I showed you in class: Fixed Manufacturing Overhead Per Unit x Unsold Units: $17 x -200 = -$3,400 The fact that you dipped into inventory (sold more than you produced) means that variable costing operating is higher than absorption costing operating profit. That is why it is shown as negative numbers. $12,200 - $3,400 = $8,800 E-7 The answer is b. You could do a variable costing income statement or you could use the formula that I showed you in class. Fixed Overhead per unit is $2 ($5,000/2,500 units): Fixed Manufacturing Overhead Per Unit x Unsold Units: $2 x 100 = $200 $7,200 - $200 = $7,000 Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas E-8 Page 24 The answer is a. Sales Revenue: Less Variable Costs: Variable COGS: Var. S,G&Adm: $48,000 $19,200 9,600 ($8 x 2,400) -28,800 $19,200 Contribution Margin: Contribution Margin per Unit: E-9 $8 ($19,200/2,400) The answer is d. X = Fixed Costs / Contribution Margin Per Unit Fixed Costs = $5,000 + $7,200 = $12,200 Break Even point = $12,200/8 = 1,525 units. E-10 The answer is a. $8 x 200 = $1,600. P-1 Sales: Variable Costs Contribution Margin Direct Fixed Costs Division Profit: Common Fixed Costs: Operating Profit A B C D Total $1,000 $2,000 $1,000 $1,000 -660 -1,200 -800 -400 $340 $800 $200 $600 -240 -120 -120 -120 $220 $560 $80 $480 $1340 $900 $440 Each division has a positive Operating Profit. No division should be dropped. If you drop Division C in the first year: Sales: Variable Costs: Fixed Costs: Operating Profit: A B D Total $1,000 $2,000 $1,000 -660 -1,200 -400 -690 -345 -345 -$5 $110 $255 $360 Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 25 If you drop Division A in the second year: B D Total Sales: $2,000 $1,000 Variable Costs: -1,200 -400 Fixed Costs: -840 -420 Operating Profit: -$40 $180 $140 If you drop Division B in the third year: Sales: Variable Costs: Fixed Costs: Operating Profit: D $1,000 -400 -1,020 -$420 Total -$420 If you drop Division D in the fourth year, then there is no fifth year. P-2 1. When you produce more inventory than you are selling, then fix costs are being treated as assets and not being expensed. 2. Sales Less Var. COGS: (100x150K) 1996 1997 1995 $30,000 $32,000 $34,000 -15,000 (105x160K) -16,800 (110x170K) -18,700 Contrib. Margin Less Fixed Costs: Fixed Manufacturing OH: Fixed S&A Expense: $15,000 $15,200 $15,300 -15,000 3,000 -15,000 -3,600 -15,000 -3,800 Operating Profit: -$3,000 -$3,400 -$3,500 3. The difference in income between full-absorption costing method and the variable costing method is due to the different treatment of the fixed factory overhead attributable to unsold units. 1995 = $75 x 50,000 = $3,750 1996 = $60 x 90,000 = $5,400 1997 = $50 x 130,000 = $6,500 4. On the balance sheet check the % of inventory to sales. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 26 P-3 1. a. Absorption manufacturing cost per unit: Direct Materials: Direct Labor: Variable Manufacturing Overhead: Fixed Manufacturing Overhead: $ 4.00 10.50 3.00 4.50 Total: $22.00 (2 lbs. @ $2) (1.5 hrs @ $7) (1.5 hrs @ $2) (1.5 hrs @ $3) b. Variable manufacturing cost per unit: Direct Materials: Direct Labor: Variable Manufacturing Overhead: $ 4.00 10.50 3.00 Total: $17.50 (2 lbs. @ $2) (1.5 hrs @ $7) (1.5 hrs @ $2) 2. Absorption Costing Income Statement: Revenue: Less Cost of Goods Sold: $800,000 -455,000 (20,000 x $40) ((20,000 x $22) + 10,000 + 5000) Gross Margin: Less Selling & Adm.Expenses: $345,000 -280,000 [200,000 + (.1 x 800,000)] Operating Profit: $65,000 3. Variable Costing Income Statement: Revenue Less Variable Costs: Variable Cost of Goods Sold Variable Selling and Adm Expenses $800,000 (20,000 x $40) -355,000 -80,000 [(20,000 x 17.50) + 5,000] (800,000 x .1) Contribution Margin: Less Fixed Costs: Fixed Selling and Administrative Expenses: Fixed Manufacturing Overhead: $365,000 Operating Profit: -200,000 -122,500 [(25,000 x 4.5) + 10,000] $42,500 4. Unsold Units x Fixed Manufacturing Overhead per Unit: 5,000 x (4.5) = $22,500 Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas Page 27 P-4 Sales Less Variable Costs: A B C $1,500 $2,800 $1,050 -1,000 -2,200 -1,550 Contribution Margin Less Fixed Costs: $500 -100 $600 -500 -$500 -150 Operating Profit: $400 $100 -$650 Product C has a negative contribution margin, so the firm should drop C. If D replaces C, then 15,000 units of D would be produced and sold: D $1,050 -450 Sales Less Variable Costs: Contrib. Margin Less Fixed Costs: $600 -640 Product Margin: -$40 D has a positive contribution margin, however, the fixed costs are higher than the contribution margin. These are direct fixed costs, and the firm can save the $640 if it doesn't make product D. It would be better just to drop C. If product D replaced product B, then D would sell more units, and can cover its direct fixed costs: D Sales Less Variable Costs: Contrib. Margin Less Fixed Costs: Product Margin: $1,400 -600 $800 -640 $160 Product D could make $60 more than product B. So the firm would be best to drop C and replace B with D. Please send comments and corrections to me at [email protected] Variable Costing By Dr. Michael Constas P-5. Page 28 A. Full/Absorption Costing Variable Production Costs: Fixed Overhead Costs: Total Manufacturing Costs: Number of Units Produced: Production Cost Per Unit: Variable Costing Variable Production Costs: Number of Units Variable Production Cost Per Unit $8 x 25,000 $200,000 300,000 $500,000 25,000 $20 $8 x 25,000 $200,000 25,000 $8 B. Ending Inventory is: Units Produced: Units Sold: Ending Inventory 25,000 -20,000 5,000 Use Production Cost Per Unit for Variable & Full/Absorption Costing Full: 5,000 x $20 = $100,000 Variable: 5,000 x $8 = $40,000 C. Variable Costing Sales Less: Variable Costs: Variable Production Costs: Variable Selling & Administrative Expenses: Contribution Margin Fixed Costs Fixed Manufacturing Costs: Fixed Selling & Administrative Expenses: Operating Income: $700,000 $8 x 20,000 $1 x 20,000 $200K - $20K Please send comments and corrections to me at [email protected] -$160,000 -$20,000 $520,000 -$300,000 -$180,000 $40,000 Variable Costing By Dr. Michael Constas D. Page 29 Fixed Production Overhead Costs Per Unit: $300,000/25,000 = $12.00 The difference between Variable Costing and Full/Absorption Costing is equal to: Fixed O/H Per Unit x Unsold Units There is a $60,000 difference between the Full/Absorption Costing method ($100,000) and the Variable Costing method ($40,000). Fixed O/H Per Unit ($12) x Unsold Units (5,000) = 60,000 P-6. Sales Var. Costs: Var. COGS Var. Oper. CM Dir. Fixed Dept. Margin Common Fixed Operating Profit: Dept. A. $ 50,000 Dept. B. $ 20,000 Dept. C. $100,000 Dept. D. $ 70,000 (30,000) (8,000) $12,000 (5,000) $7,000 (10,000) (3,000) $7,000 (2,000) $5,000 (70,000) (22,000) $8,000 (4,000) $4,000 (45,000) (12,000) $13,000 (7,000) $6,000 Total $22,000 -18,000 $4,000 A. You would look at the Department Margin. The lowest one is C’s $4,000. So, you would drop Department C. B. You have an operating profit of $4,000 with all of the departments. If you drop Department C, then you will lose its Department Margin ($4,000). This will drop the company’s operating profit to $0. C. This is a bad decision. Please send comments and corrections to me at [email protected]
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