Problems for Absorption and Variable Costing Column Files Unit/Module Absorption and Variable Costing Week Shu Corporation manufactures and sells a hand held calculator. The following information relates to Shun's operation for last year: Unit product cost under variable costing $5.20 per unit Fixed manufacturing overhead cost for the year $260,000 Fixed selling and administrative cost for the year $180,000 Units (calculators) produced and sold 400,000 What is Shun's unit product cost under absorption costing for last year? Solution: Unit product cost under VC FMOH cost/unit $260,000/400,000 Unit produced cost under AC $5.20 0.65 $5.85 A manufacturing company that produces a single product has provided the following data concerning its most recent month of operations: Problems for Absorption and Variable Costing 1 What is the total period cost for the month under the variable costing approach? Solution: Variable selling & administrative 8 x 6,300 50,400 Fixed selling & administrative 88,200 FMOH 46,200 Period cost under VC $184,800 A manufacturing company that produces a single product has provided the following data concerning its most recent month of operations: Units in beginning inventory 0 Units produced 7,100 Units sold 7,000 Units in ending inventory 100 Variable cost per unit: Problems for Absorption and Variable Costing 2 Direct materials $33 Direct labor $53 Variable manufacturing overhead $1 Variable selling & administrative $7 Fixed costs: Fixed manufacturing overhead $170,400 Fixed selling & administrative $7,000 What is the unit product cost for the month under variable costing? Solution: Direct materials $33 Direct labor $53 Variable manufacturing overhead $1 Product cost $87 A manufacturing company that produces a single product has provided the following data concerning its most recent month of operations: Selling price Units in beginning inventory $97 0 Units produced 2,200 Units sold 2,100 Units in ending inventory 100 Variable costs per unit: Problems for Absorption and Variable Costing 3 Direct materials $32 Direct labor $25 Variable manufacturing overhead $2 Variable selling & administrative $9 Fixed costs: Fixed manufacturing overhead $8,800 Fixed selling & administrative $37,800 What is the total period cost for the month under the absorption costing approach? Solution: Fixed selling & administrative $37,800 Variable selling & administrative $9 x 2,100 18,900 Period cost under AC $56,700 The following data pertain to last year's operations at Clarkson, Incorporated, a company that produces a single product: Units in beginning inventory 0 Units produced 100,000 Units sold 98,000 Selling price per unit $10 Variable costs per unit: Direct materials Problems for Absorption and Variable Costing $1.50 4 Direct labor $2.50 Variable manufacturing overhead $1 Variable selling & administrative $2 7 Fixed costs per year: Fixed manufacturing overhead $200,000 Fixed selling & administrative $50,000 What was the absorption costing net operating income last year? Solution: Sales 98,000 x $10 $980,000 COGS Beg. inventory 0 COGM 100,000 x 7 700,000 TGAS 700,000 End. Inventory 2,000 x 7 14,000 Gross margin 686,000 $294,000 Selling & Administrative expense Variable selling & admin. expense $2 x 98,000 196,000 Fixed selling & admin. expense 50,000 Operating income under AC 246,000 $48,000 A manufacturing company that produces a single product has provided the following data concerning its most recent month of operations: Selling price Problems for Absorption and Variable Costing $135 5 Units in beg. inventory 0 Units produced 6,400 Units sold 6,200 Units in ending inventory 200 Variable cost per unit: Direct materials $49 Direct labor $38 Variable manufacturing overhead $6 Variable selling & administrative $11 $93 Fixed costs: Fixed manufacturing overhead $108,800 Fixed selling & administrative $74,400 The total contribution margin for the month under the variable costing approach is: Solution: Sales $135 x 6,200 $837,000 Variable Cost of Sales: Beg. inventory 0 COGM 6,400 x $93 $595,200 TGAS 595,200 End. inventory 200 x $93 18,600 VCOGS 576,600 Variable S & E expense 11 x 6,200 68,200 Problems for Absorption and Variable Costing 644,800 6 Contribution margin $192,200 Blake Company produces a single product. Last year, Blake's net operating income under absorption costing was $3,600 lower than under variable costing. The company sold 10,000 units during the year, and its variable costs were $9 per unit, of which $1 was variable selling expense. If production cost was $11 per unit under absorption costing, then how many units did the company produce during the year? Solution: VC/unit $9 VSE 1 Product cost FMOH 8 Product cost per unit 11 FMOH per unit $3 Difference in NOI 3,600 Divide: FMOH 3 Units difference 1,200 unit Units sold 10,000 Unit difference 1,200 Units produced 8,800 units Pungent Corporation manufactures and sells a spice rack. Shown below are the actual operating results for the first two years of operation: Year 1 Year 2 Units (spice racks) produced 40,000 40,000 Problems for Absorption and Variable Costing 7 Units (spice racks) sold 37,000 41,000 Absorption costing net operating income $52,000 $44,000 Variable costing net operating income ??? $38,000 Pungent's cost structure and selling price were the same for both years. What is Pungent's variable costing net operating income for Year 2? Solution: Unit FMOH Cost: 44,000 - 38,000 = 6,000 = $2 per unit 40,000 - 37,000 NOI under AC 3,000 $52,000 Add: FMOH cost released from inventory under AC 1,000 x $2 NOI under VC 2,000 $54,000 Sipho Corporation manufactures a variety of products. Last year, the company's variable costing net operating income was $90,900. Fixed manufacturing overhead costs released from inventory under absorption costing amounted to $21,900. What was the absorption costing net operating income last year? Solution: NOI under VC $90,900 Deduct: FMOH cost 21,900 NOI under AC $69,000 Problems for Absorption and Variable Costing 8 Phearsum Corporation manufactures a parachute. Shown below is Phearsum's cost structure: Variable cost per parachute Total fixed cost for the year Manufacturing cost $342,000 $160 Selling and administrative $171,000 $10 In its first year of operation, Phearsum produced and sold 4,000 parachutes. The parachutes sold for $310 each. If Phearsum would have sold only 3,800 parachutes in its first year, what total amount of cost would have been assigned to the 200 parachutes in finished goods inventory under the variable costing method? Solution: Units in ending inventory 200 Variable Manufacturing cost $160 FGI under VC $32,000 Swifton Company produces a single product. Last year, the company had net operating income of $40,000 using variable costing. Beginning and ending inventories were 22,000 and 27,000 units, respectively. If the fixed manufacturing overhead cost was $3.00 per unit, what was the income using absorption costing? Solution: NOI under VS $40,000 Add: FMOH cost deferral in inventory under AC 27,000 - 22,000 x 3 NOI under AC Problems for Absorption and Variable Costing 15,000 $55,000 9 Problems for Absorption and Variable Costing 10