2 Cost Concepts and Behavior

Transcription

1 2 Cost Concepts and Behavior Solutions to Review Questions 2-1. Cost is a more general term that refers to a sacrifice of resources and may be either an opportunity cost or an outlay cost. An expense is the write-off of an outlay cost against revenues in a particular accounting period and usually pertains only to external financial reports Product costs are those costs that are attributed to products, while period costs are those costs that are attributed to time periods. The determination of product costs varies depending on the approach used: full absorption, variable, or managerial costing Outlay costs are those costs that represent a past, current, or future cash outlay. Opportunity cost is the value of what is given up by choosing a particular alternative Common examples include the cost of lost sales by producing low quality products or substandard customer service. Another example is a firm operating at capacity. In this case, a sale to one customer precludes a sale to another customer Yes. The costs associated with goods sold in a period are not expected to result in future benefits. They provided revenues for the period in which the goods were sold; therefore, they are expensed for financial accounting purposes The costs associated with goods sold are a product cost for a manufacturing firm. They are the costs associated with the product and recorded in an inventory account until the product is sold. Solutions Manual, Chapter 2 19

2 2-7. Both accounts represent the cost of the goods acquired from an outside supplier, which include all costs necessary to ready the goods for sale (in merchandising) or production (in manufacturing). The merchandiser expenses these costs as the product is sold, as no additional costs are incurred. The manufacturer transforms the purchased materials into finished goods and charges these costs, along with conversion costs to production (work in process inventory). These costs are expensed when the finished goods are sold Direct materials: Materials in their raw or unconverted form, which become an integral part of the finished product are considered direct materials. In some cases, materials are so immaterial in amount that they are considered part of overhead. Direct labor: Costs associated with labor engaged in manufacturing activities. Sometimes this is considered as the labor that is actually responsible for converting the materials into finished product. Assembly workers, cutters, finishers and similar hands on personnel are classified as direct labor. Manufacturing overhead: All other costs directly related to product manufacture. These costs include the indirect labor and materials, costs related to the facilities and equipment required to carry out manufacturing operations, supervisory costs, and all other direct support activities Step costs change with volume in steps, such as when supervisors are added. Semivariable or mixed costs have elements of both fixed and variable costs. Utilities and maintenance are often mixed costs Total variable costs change in direct proportion to a change in volume (within the relevant range of activity). Total fixed costs do not change as volume changes (within the relevant range of activity). 20 Fundamentals of Cost Accounting

3 Solutions to Critical Analysis and Discussion Questions The statement is not true. Materials can be direct or indirect. Indirect materials include items such as lubricating oil, gloves, paper supplies, and so on. Similarly, indirect labor includes plant supervision, maintenance workers, and others not directly associated with the production of the product Statements such as this almost always refer to the full cost per unit mixing fixed and variable costs. Therefore, multiplying the cost per seat-mile by the number of miles is unlikely to give a useful estimate of flying one passenger. The variable costs will be very small Marketing and administrative costs are treated as period costs and expensed for financial accounting purposes in both manufacturing and merchandising organizations. However, for decision making or assessing product profitability, marketing and administrative costs that can be reasonably associated with the product (productspecific advertising, for example) are just as important as the manufacturing costs There is no correct answer to this allocation problem. Common allocation procedures would including (1) splitting the costs equally (25% each), (2) dividing the costs by the miles driven and charging based on the miles each person rides, (3) charging the incremental costs of the passengers (almost nothing) because you were going to drive to Texas anyway Direct material costs include the cost of supplies and medicine. One possible direct labor cost would be nursing staff assigned to the unit. Indirect costs include the costs of hospital administration, depreciation on the building, security costs, and so on. Solutions Manual, Chapter 2 21

4 Solutions to Exercises (15 min.) Basic Concepts. a. False. This is an expense. For example, R&D costs are incurred in expectation of future benefits. b. True. Each unit of a product has the same amount of direct material (same cost per unit), but producing more units requires more material (and more cost). c. False. Variable costs can be direct (direct materials) or indirect (lubricating oil for machines.) (15 min.) Basic Concepts. Cost Item Fixed (F) Variable (V) Period (P) Product (M) a. Energy to run forklifts that move products around the V M factory... b. Depreciation on office buildings for administrative staff.. F P c. Bonuses of top executives in the company... F P d. Overtime pay for assembly workers... V M e. Transportation-in costs on materials purchased... V M f. Assembly line workers wages... V M g. Travel cost for sales personnel... V P h. Administrative support for sales supervisors... F P i. Controller s office rental... F P j. Cafeteria costs for the factory... F M (10 min.) Basic Concepts. a. Property taxes on the factory... C b. Wages for drivers delivering work-in-process from one plant to another... C c. Transportation-in costs on materials purchased... P d. Assembly line worker s salary.... B e. Direct materials used in production process... P f. Lubricating oil for plant machines... C 22 Fundamentals of Cost Accounting

5 2-19. (15 min.) Basic Concepts. Concept Definition 5 Period cost Cost that can more easily be attributed to time intervals. 9 Indirect cost Cost that cannot be directly related to a cost object. 11 Fixed cost Cost that does not vary with the volume of activity. 7 Opportunity cost Lost benefit from the best forgone alternative. 6 Outlay cost Past, present, or near-future cash flow. 10 Direct cost Cost that can be directly related to a cost object. 3 Expense Cost charged against revenue in a particular accounting period. 2 Cost Sacrifice of resources. 1 Variable cost Cost that varies with the volume of activity. 8 Full absorption cost Cost used to compute inventory value according to GAAP. 4 Product cost Cost that is part of inventory (15 min.) Basic Concepts. Cost Item Fixed (F) Variable (V) Period (P) Product (M) a. Advertising costs... F P b. Depreciation on pollution control equipment in the plant.. F M c. Office supplies for the plant manager... F M d. Power to operate factory equipment... V M e. Commissions paid to sales personnel... V P Solutions Manual, Chapter 2 23

6 2-21. (15 min.) Basic Concepts. a. Variable production cost per unit ($120 + $20 + $5 + $10)... $155 b. Variable cost per unit. ($155 + $15)... $170 c. Full cost per unit. [$170 + ($50, units)]... $270 d. Full absorption cost per unit. [$155 + ($30, )]... $215 e. Prime cost per unit: (labor + materials + outsource)... $145 f. Conversion cost per unit. (labor + overhead + outsource)... $210 g. Contribution margin per unit. ($300 $170)... $130 h. Gross margin per unit. ($300 full absorption cost of $215) $85 i. Suppose the number of units decreases to 400 units per month, which is within the relevant range. Which parts of (a) through (h) will change. For each amount that will change, give the new amount for a volume of 400 units. Full cost = $170 + ($50, ) = $295 Full absorption cost = $155 + ($30, ) = $230 Conversion costs = $120 + $10 + ($30, ) + $20 = $225 Gross margin = $300 $230 = $70 c, d, f and h will change (15 min.) Cost Allocation Ethical Issues This problem is based on the experience of the authors research at several companies. a. Answers will vary as there are several defensible bases on which to allocate the product development costs. Because the price for government sales depends on the allocated costs, using expected sales (units or revenues) leads to a potential circularity. Price depends on cost, which depends on sales, which depends on price. b. The company has an incentive to allocate as much cost as possible to government sales. This cost will be reimbursed (and the government may be less pricesensitive). Of course, the government recognizes this and has detailed allocation guidelines in place and an agency (the Defense Contract Audit Agency) that monitors contracts and the allocation of costs. 24 Fundamentals of Cost Accounting

7 2-23. (15 min.) Cost Allocation Ethical Issues This problem is based on the experience of the authors research at several companies. a. Answers will vary as there are several defensible bases on which to allocate the common costs. One possibility is relative revenues. (We ignore here whether we should allocate these costs, something we discuss in chapter 4.) b. You should explain to Star that you cannot agree with the allocation basis, especially given the reason for selecting the basis. If this fails to persuade Star, you should disclose to Star s boss your disagreement with the analysis and the relation between Star and the vendor (30 min.) Prepare Statements for a Manufacturing Company: MacBeth Manufacturing. MacBeth Manufacturing Company Cost of Goods Sold Statement For the Year Ended December 31 Beginning work in process inventory... $32,300 Manufacturing costs: Direct materials: Beginning inventory... $22,000 Purchases... 49,000 (a)* Materials available... 71,000 Less ending inventory... 25,000 Direct materials used... $46,000 Other manufacturing costs... 5,200 ** Total manufacturing costs... 51,200 (c) Total costs of work in process... 83,500 Less ending work in process... 29,000 Cost of goods manufactured... 54,500 (b) Beginning finished goods inventory... 5,500 Finished goods available for sale... 60,000 Ending finished goods inventory... 7,000 Cost of goods sold... $53,000 * Letters (a), (b), and (c) refer to amounts found in solutions to requirements a, b, and c. ** Difference between total manufacturing costs of $51,200 and direct materials used of $46,000. Solutions Manual, Chapter 2 25

8 2-25. (10 min.) Prepare Statements for a Service Company: Chuck s Brokerage Service (10 min.) Prepare Statements for a Service Company: InterGalactic Strategic Consultants Revenues... $42,000,000 (Given) Cost of services sold (b)... 21,200,000 (Revenues gross margin) Gross margin... $20,800,000 (Given) Marketing and administrative costs (a)... 12,700,000 (Gross margin operating profit) Operating profit... $8,100,000 (Given) 26 Fundamentals of Cost Accounting

9 2-27. (20 min.) Prepare Statements for a Service Company: Lead! Inc. You can solve this in the order shown below. Lead!, Inc. Income Statement For the Month Ended April 30 Revenue... Cost of services sold... Gross margin... Marketing and administrative costs... Operating profit ($200,000 x 20%)... $200,000 a 128,000 c $72,000 d 32,000 e $40,000 b a. Given b. $40,000 = 20% x $200,000. c. To find the cost of services sold plus marketing and administrative costs, start with the operating profit (b). Then cost of services plus marketing and administrative costs is $160,000 (= $200,000 $40,000). But, marketing and administrative costs equal 25% of cost of services sold, so, 1.25 x Cost of services sold = $160,000 or cost of services sold = $128,000. d. $72,000 = $200,000 $128,000. e. $32,000 = 25% x $128,000. Solutions Manual, Chapter 2 27

10 2-28. (30 min.) Prepare Statements for a Manufacturing Company: Secol Machining Company Secol Machining Company Cost of Goods Sold Statement For the Year Ended December 31 Beginning work in process inventory... $ 58,000 Manufacturing costs: Direct materials: Beginning inventory... $ 48,000 Purchases ,000 Materials available ,000 Less ending inventory... 59,000 Direct materials used... $299,000 (a)* Other manufacturing costs ,200 ** Total manufacturing costs... 1,084,200 (c) Total costs of work in process... $ 1,142,200 Less ending work in process... 56,000 Cost of goods manufactured... $ 1,086,200 (b) Beginning finished goods inventory... 43,800 Finished goods available for sale... $ 1,130,000 Ending finished goods inventory... 45,000 Cost of goods sold... $1,075,000 * The best approach to solving this problem is to lay out the format of the Cost of Goods Sold Statement first, then fill in the amounts known. Next find the subtotals that are possible (e.g., Finished goods available for sale). Finally, solve for letters (a), (b), and (c) where (a), (b), and (c) refer to amounts found in solutions to requirements a, b, and c. ** Difference between total manufacturing costs and direct materials used. 28 Fundamentals of Cost Accounting

11 2-29. (15 min.) Basic Concepts a. Ending Material Inventory, December 31, = Beginning balance + Transferred in Transferred out = $2,600 + $16,100 $14, = $4,100 b. Cost of Goods Manufactured During the Year are the goods Transferred Out of Work-in-Process Inventory = Beginning Balance + Transferred In Ending Balance = $2,700 + $55,550 $3, (also can be found solving for Transferred In to Finished Goods) = $54,450 c. Gross Margin = Revenue Cost of Goods Sold = $103,300 $56, = $47, (15 min.) Prepare Statements for a Merchandising Company: Sun & Surf Apparel Shop Sun & Surf Apparel Shop Income Statement For the Year Ended December 31 Revenue... $934,000 Cost of goods sold (see statement below) ,620 Gross margin... $318,380 Marketing and administrative costs ($73,200 + $42,850 + $14,400 + $2,730) ,180 Operating profit... $185,200 Sun & Surf Apparel Shop Cost of Goods Sold Statement For the Year Ended December 31 Beginning inventory... $ 26,000 Purchases... $610,000 Transportation-in... 4,620 Total cost of goods purchased ,620 Cost of goods available for sale ,620 Ending inventory... 25,000 Cost of goods sold... $615,620 Solutions Manual, Chapter 2 29

12 2-31. (10 min.) Cost Behavior for Forecasting: Ramirez Company. The variable costs will be 40% higher (an increase of 21,000 15,000 = 6,000 units) Variable costs: Direct materials used ($1,020,000 x 1.4)... $ 1,428,000 Direct labor ($1,995,000 x 1.4)... 2,793,000 Indirect materials and supplies ($240,000 x 1.4) ,000 Power to run plant equipment ($225,000 x 1.4) ,000 Total variable costs... $4,872,000 Fixed costs: Supervisory salaries ,000 Plant utilities (other than power to run plant equipment) ,000 Depreciation on plant and equipment ,000 Property taxes on building ,000 Total fixed costs... 1,545,000 Total costs for 21,000 units... $6,417,000 Fixed costs = $1,545,000 = $930,000 + $285,000 + $135,000 + $195,000 Note that the variable cost per unit is $232 at both 15,000 units and at 21,000 units. Variable costs = $232 per unit = ($4,872,000 21,000 units) or ($3,480,000 15,000 units) 30 Fundamentals of Cost Accounting

13 2-32. (30 min.) Components of Full Costs: Gibson Corporation a. Variable manufacturing cost: $180 + $110 + $40= $330 b. Variable cost: $180 + $110 + $40 + $12 = $342 c. Full absorption cost: $180 + $110 + $40 + ($108,000 1,800 units) = $390 d. Full cost: $180 + $110 + $40 + $12 + ($108,000 1,800 units) + ($72,000 1,800 units) = $442 Solutions Manual, Chapter 2 31

14 2-33. (15 min.) Components of Full Costs: Gibson Corporation a. Product cost = Direct materials + Direct labor + Manufacturing overhead. Product cost per unit: $180 + $110 + $40 + ($108,000 1,800 units) = $390 b. Period costs = Marketing and administrative costs. Period costs for the period: $72,000 + ($12 x 1,800 units) = $93, Fundamentals of Cost Accounting

15 2-34. (30 min.) Components of Full Cost: Larcker Manufacturing. a. Variable cost: $35 + $40 + $20 + $8 = $103 b. Variable manufacturing cost: $35 + $40 + $20 = $95 c. Full-absorption cost: $35 + $40 + $20 + ($225,000 5,000 units) = $140 d. Full cost: $35 + $40 + $20 + $8 + ($225,000 5,000 units) + ($195,000 5,000 units) = $187 Solutions Manual, Chapter 2 33

16 2-34. (continued) e. Profit margin = Sales price full cost = $195 $187 = $8 f. Gross margin = Sales price full absorption cost = $195 $140 = $55 g. Contribution margin = Sales price variable cost = $195 $103 = $92 34 Fundamentals of Cost Accounting

17 2-35. (20 Min.) Gross Margin and Contribution Margin Income Statements: Larcker Manufacturing Gross Margin Income Statement Contribution Margin Income Statement Revenue(a)... $975,000 Revenue... $975,000 Variable manufacturing Variable manufacturing costs 475,000 costs (b) ,000 Fixed manufacturing costs 225,000 Variable marketing and administrative costs... 40,000 Gross margin... $275,000 Contribution margin... $460,000 Variable marketing and Fixed manufacturing costs ,000 administrative costs (c)... 40,000 Fixed marketing and administrative costs ,000 Fixed marketing and administrative costs ,000 Operating profit... $40,000 Operating profit... $40,000 (a) $195 x 5,000 units = $975,000 (b) $95 x 5,000 units = $475,000 (c) $8 x 5,000 units = $40, (20 Min.) Gross Margin and Contribution Margin Income Statements: Cunha Products Gross Margin Income Statement ($000) Contribution Margin Income Statement ($000) Revenue... $13,200 Revenue... $13,200 Variable manufacturing costs a... 5,950 Variable manufacturing costs... 5,950 Fixed manufacturing costs 2,200 Variable marketing and administrative costs Gross margin... $ 5,050 Contribution margin... $ 6,570 Variable marketing and Fixed manufacturing costs... 2,200 administrative costs Fixed marketing and administrative costs... 1,600 Fixed marketing and administrative costs... 1,600 Operating profit... $ 2,770 Operating profit... $ 2,770 a Variable manufacturing costs = $3,400 + $1,700 + $850 = $5,950 Solutions Manual, Chapter 2 35

18 2-37. (20 Min.) Gross Margin and Contribution Margin Income Statements: Tosca Beverages Gross margin income statement Contribution margin income statement Revenue a $188,000 Revenue... $188,000 Variable manufacturing costs b... 24,675 Variable manufacturing costs... 24,675 Fixed manufacturing costs c 54,050 Variable marketing and administrative costs... 28,200 Gross margin... $109,275 Contribution margin... $135,125 Variable marketing and Fixed manufacturing costs. 54,050 administrative costs d... 28,200 Fixed marketing and administrative costs e... 58,750 Fixed marketing and administrative costs... 58,750 Operating profit... $22,325 Operating profit... $22,325 a Revenue = $8.00 x 23,500 = $188,000 b Variable manufacturing costs = ($ $ $0.15) x 23,500 = $24,675 c Fixed manufacturing costs = $2.30 x 23,500 = $54,050 d Variable marketing and administrative costs = $1.20 x 23,500 = $28,200 e Fixed marketing and administrative costs = $2.50 x 23,500 = $58, Fundamentals of Cost Accounting

19 2-38. (30 min.) Value Income Statement: Gene s Diner. a. Gene s Diner Value Income Statement For the month ending October 31 Nonvalueadded activities Valueadded activities Total Sales Revenue... $120,000 $120,000 Cost of merchandise:... Cost of food served a... $ 6,000 34,000 40,000 Gross margin... $ (6,000) $ 86,000 $ 80,000 Operating expenses:... Employee salaries and wages b... 4,500 25,500 30,000 Managers salaries c... 2,400 9,600 12,000 Building costs d... 3,600 14,400 18,000 Operating income (loss)... $(16,500) $ 36,500 $ 20,000 a 15% nonvalue-added activities (= 5% not used + 10% incorrectly prepared) b 15% nonvalue-added activities c 20% nonvalue-added activities d 20% unused and nonvalue-added activities b. The information is the value income statement enables Gene to identify nonvalueadded activities. He could eliminate such activities without reducing value to customers. Gene can take steps to ensure that food is used prior to the expiration date, either by changing scheduling or purchasing procedures. He can also spend time training staff to take orders more carefully. Preparing a November statement helps Gene see whether the company is improving in reducing nonvalue-added activities. Solutions Manual, Chapter 2 37

20 2-39. (30 min.) Value Income Statement: Paul s Limo Service. a. b. The information in the value income statement enables Paul to identify nonvalueadded activities. He could eliminate such activities without reducing value to customers. Paul can take steps to improve how directions are given to drivers and reduce customer complaints, for example. By preparing the same information in July, Paul can see how he is improving (or becoming worse) in reducing nonvalue-added activities. 38 Fundamentals of Cost Accounting

21 Solutions to Problems (30 min.) Cost Concepts: Santa Cruz, Inc. a. Prime costs = direct materials + direct labor Direct materials = beginning inventory + purchases ending inventory = $18,000 + $84,000 $15,000 = $87,000 Direct labor is given as $60,000 Prime costs = $87,000 + $60,000 = $147,000 b. c. d. e. Conversion costs = Direct labor + Manufacturing overhead Conversion costs = $60,000 + $80,000 = $140,000 Total manufacturing costs = Direct materials + Direct labor + Manufacturing overhead = $87,000 (from a above) + $60,000 + $80,000 = $227,000 Cost of goods Beginning Work In Process + Total manufacturing costs manufactured = Ending Work In Process = $9,000 + $227,000 (from c above) $6,000 = $230,000 Cost of Goods Sold = Cost of Goods Manufactured + Beginning Finished Goods Inventory Ending Finished Goods Inventory = $230,000 + $54,000 $72,000 (from d above) = $212,000 Solutions Manual, Chapter 2 39

22 2-41. (30 minutes) Cost Concepts: Princeton Fabrication, Inc. a. (1) $62 Variable manufacturing cost Manufacturing overhead + Direct labor + Direct = materials = $20 + $10 + $32 = $62 (2) $94 Full unit cost = All unit fixed costs + All unit variable costs Unit fixed manufacturing = ($9, units) = $12 Unit fixed marketing and administrative cost = ($12, units) = $16 = $12 + $16 + $4 + $20 + $10 + $32 = $94 (3) $66 Variable cost = All variable unit costs = $4 + $20 + $10 + $32 = $66 (4) $74 Full absorption cost = Fixed and variable manufacturing overhead + Direct labor + direct materials = $12 + $20 + $10 + $32 = $74 (5) $42. Prime cost = Direct labor + Direct materials = $10 + $32 = $42 40 Fundamentals of Cost Accounting

23 2-41. (continued) (6) $42 Conversion cost = Direct labor + Manufacturing overhead = $10 + ($20 + $12) = $42 (7) $34 Profit margin = Sales price Full cost = $128 $94 = $34 (8) $62 Contribution margin = Sales price Variable costs = $128 $66 = $62 (9) $54 Gross margin = Sales price Full absorption cost = $128 $74 = $54 b. As the number of units increases (reflected in the denominator), fixed manufacturing cost per unit decreases. The numerator (i.e., total fixed costs) remains the same. Solutions Manual, Chapter 2 41

24 2-42. (30 min.) Prepare Statements for a Manufacturing Company: Pioneer Parts Pioneer Parts Statement of Cost of Goods Sold For the Year Ended December 31 ($000) Work in process, Jan $ 120 Manufacturing costs: Direct materials: Beginning inventory, Jan $ 90 Add material purchases... 8,200 Direct materials available... 8,290 Less ending inventory, Dec Direct materials used... $ 8,210 Direct labor... 10,600 Manufacturing overhead: Indirect factory labor... 2,800 Indirect materials and supplies Factory supervision... 2,100 Factory utilities Factory and machine depreciation... 11,600 Property taxes on factory Total manufacturing overhead... 18,380 Total manufacturing costs... 37,190 Total cost of work in process during the year... 37,310 Less work in process, Dec Costs of goods manufactured during the year. 37,170 Beginning finished goods, Jan ,640 Finished goods inventory available for sale... 38,810 Less ending finished goods inventory, Dec ,470 Cost of goods sold... $37, Fundamentals of Cost Accounting

25 2-42. (continued) Pioneer Parts Income Statement For the Year Ended December 31 ($000) Sales revenue... $45,400 Less: Cost of goods sold... 37,340 Gross margin... 8,060 Administrative costs... $3,600 Marketing costs... 1,500 Total marketing and administrative costs... 5,100 Operating profit... $ 2,960 Solutions Manual, Chapter 2 43

26 2-43. (30 min.) Prepare Statements for a Manufacturing Company: Oakdale Tool & Die. Oakdale Tool & Die Statement of Cost of Goods Sold For the Year Ended December 31 Beginning work in process, Jan $ 32,000 Manufacturing costs: Direct materials: Beginning inventory, Jan $ 12,000 Add: Purchases... 3,650,000 Direct materials available... 3,662,000 Less ending inventory, Dec ,000 Direct materials used... $3,648,000 Direct labor ,000 Manufacturing overhead: Indirect factory labor ,000 Factory supervision ,000 Indirect materials and supplies ,000 Building utilities (80% of total)... 1,000,000 Building & machine depreciation (85%) ,000 Property taxes factory (75% of total) ,000 Total manufacturing overhead... 4,482,000 Total manufacturing costs... 8,970,000 Total cost of work in process during the year... 9,002,000 Less work in process, Dec ,000 Costs of goods manufactured during the year... 8,973,000 Beginning finished goods, Jan ,000 Finished goods available for sale... 9,027,000 Less ending finished goods, Dec ,000 Cost of goods sold... $ 8,962, Fundamentals of Cost Accounting

27 2-43. (continued) Oakdale Tool & Die Income Statement For the Year Ended December 31 Sales revenue... $12,970,000 Less: Cost of goods sold (per statement)... 8,962,000 Gross profit... $ 4,008,000 Marketing and administrative costs: Depreciation (15% of total)... $ 135,000 Utilities (20% of total) ,000 Property taxes (25% of total) ,000 Administrative costs... 1,600,000 Marketing costs ,000 Total marketing and administrative costs... 3,066,000 Operating profit... $ 942,000 Solutions Manual, Chapter 2 45

28 2-44. (10 Min.) Cost Allocation with Cost Flow Diagram: Coastal Computer a. (1) Main Street Lakeland Mall Total Number of computers sold... 2,000 1,500 3,500 Percentage % % 100% Allocated Accounting department cost ($175,000)... $100,000 $75,000 $175,000 (2) Main Street Lakeland Mall Total Revenue... $2,000,000 $3,000,000 $5,000,000 Percentage... 40% 60% 100% Allocated Accounting department cost ($175,000)... $70,000 $105,000 $175,000 b. Cost pool Accounting Department $175,000 Cost allocation rule 40% a %Revenue 60% b Cost objects Main Street $70,000 Lakeland Mall $105,000 a 40% = $2,000,000 ($2,000,000 + $3,000,000) b 60% = $3,000,000 ($2,000,000 + $3,000,000) 46 Fundamentals of Cost Accounting

29 2-45. (20 Min.) Cost Allocation with Cost Flow Diagram: Pacific Business School. a. Undergraduate Graduate Total Number of students ,500 Percentage... 40% 60% 100% Credit Hours... 8,500 25,500 34,000 Percentage... 25% 75% 100% Allocation of student-related costs a... $450,000 $675,000 $1,125,000 Allocation of credit-hour costs b , , ,000 Total Allocations... $668,750 $1,331,250 $2,000,000 a $450,000 = 40% x $1,125,000; $675,000 = 60% x $1,125,000. b $218,750 = 25% x $875,000; $656,250 = 75% x $875,000. Solutions Manual, Chapter 2 47

30 2-45. (continued) b. a 25% = 8,500 credit-hours (8,500 credit-hours + 25,500 credit-hours) b 75% = 25,500 students (8,500 credit-hours + 25,500 credit-hours) c 40% = 600 students (600 students students) d 60% = 900 students (600 students students) 48 Fundamentals of Cost Accounting

31 2-46. (40 Min.) Find the Unknown Information. a. Finished goods beginning inventory Finished goods beginning inventory Finished goods beginning inventory + Cost of goods manufactured Cost of goods sold = Finished goods ending inventory + $22,200 $21,760 = $3,520 = $ 3,080 (= $3,520 $22,200 + $21,760) b. Direct materials used Direct materials used Direct materials used + Direct labor + Manufacturing overhead = Total manufacturing costs + $ 3,040 + $5,760 = $19,400 = $10,600 (= $19,400 $3,040 $5,760) Alternative solution Direct materials used Direct materials used Direct materials used = Beginning inventory + Materials purchased Ending inventory = $4,000 + $9,600 $3,000 = $10,600 c. Sales revenue Cost of goods sold = Gross margin Sales revenue $21,760 = $13,120 Rearranging, Sales revenue = $34,880 (= $13,120 + $21,760) Gross margin % = $13,120 $34,880 = 37.6% Solutions Manual, Chapter 2 49

32 2-47. (40 min.) Cost Allocation and Regulated Prices: The City of Imperial Falls a. The rate is 20 percent above the average cost of collection: Total cost of collection = $200,000 + $640,000 + $160,000 = $1,000,000 Total waste collected (tons) = 2, ,500 = 10,000 tons = 20,000,000 pounds Average cost per pound = $1,000,000 20,000,000 pounds = $.05 per pound Price per pound = $.05 x 1.20 = $.06 per pound b. First, allocate costs to the two cost objects: households and businesses: Allocation of administrative costs and truck costs: Total costs = $200,000 + $640,000 $840,000 Number of customers = 8, ,000 = 10,000 customers Allocated cost per customer = $840,000 10,000 customers = $84 per customer Allocation of other collection costs: Total costs = $160,000 Total waste collected (tons) = 2, ,500 = 10,000 tons Allocated cost per ton of waste = $160,000 10,000 tons = $16 per ton 50 Fundamentals of Cost Accounting

33 2-47. (continued) Allocation to customer types: Households Business Allocation of customer cost: Allocated cost per customer... $84 $84 Number of customers... 8,000 2,000 Allocated cost... $672,000 $168,000 Allocation of other costs Allocated cost per ton... $16 $16 Number of tons... 2,500 7,500 Allocated cost... $40,000 $120,000 Total allocated cost... $712,000 $288,000 Total number of tons... 2,500 7,500 Number of pounds... 5,000,000 15,000,000 Average allocated cost per pound... $.1424 $.0192 Price (= 1.20 x average cost)... $.1709 $.0230 c. Answers will vary. This problem illustrates that cost allocation can have an important effect on decisions when the allocated costs are used as if they are actual costs. In the current example, the proposed allocation approach allows the company to compete with other haulers for business customers because they maintain a monopoly on the household business. Solutions Manual, Chapter 2 51

34 2-48. (30 min.) Reconstruct Financial Statements: San Ysidro Company. a Materials used is given, but this number is not. To obtain it, Beg. Bal. + Purchases = Mat. Used + End. Bal. Beg. Bal. = Mat. Used + End. Bal. Purchases $387,350 = $1,337,350 + $310,000 $1,260,000 b Total labor = Indirect labor + Direct labor = $1,512,000 = 0.08 Direct labor + Direct labor Direct labor = $1,512, = $1,400,000 Indirect labor = 0.08 x $1,400,000 = $112, Fundamentals of Cost Accounting

35 2-48 (continued) a Total depreciation = Depreciation on plant + Depreciation on administrative building portion Depreciation on plant is 80% of the total depreciation, so total depreciation is, = $226, = $283,500 Depreciation on administrative portion = $283,500 x ( ) = $56,700. Solutions Manual, Chapter 2 53

36 2-49. (30 min.) Analyze the Impact of a Decision On Income Statements: Tunes2Go. a. This year s income statement: Baseline (Status Quo) Rent Equipment Difference Revenue... $9,600,000 $9,600,000 0 Operating costs: Variable... (1,200,000) (1,200,000) 0 Fixed (cash expenditures)... (4,500,000) (4,500,000) 0 Equipment depreciation... (900,000) (900,000) 0 Other depreciation... (750,000) (750,000) 0 Loss from equipment write-off... 0 (5,100,000) a $5,100,000 lower Operating profit (before taxes)... $2,250,000 $ (2,850,000) $5,100,000 lower a Equipment write-off = $6 million cost $900,000 accumulated depreciation for one year (equipment was purchased on January 1 of the year). b. Next year s income statement: Baseline (Status Quo) Rent Equipment Difference Revenue... $9,600,000 $10,272,000 a $672,000 higher Operating costs: Equipment rental... 0 (1,380,000) 1,380,000 higher Variable... (1,200,000) (1,200,000) 0 Fixed cash expenditures... (4,500,000) (4,230,000) b 270,000 lower Equipment depreciation... (900,000) 0 900,000 lower Other depreciation... (750,000) (750,000) 0 Operating profit... $2,250,000 $2,712,000 $462,000 higher a $10,272,000 = 1.07 $9,600,000 b $4,230,000 = ( ) $4,500,000 c. Despite the effect on next year s income statement, the company should not rent the new machine because net cash inflow as a result of installing the new machine ($672,000 + $270,000) does not cover cash outflow for equipment rental ($1,380,000). 54 Fundamentals of Cost Accounting

37 2-50. (20 Min.) Finding Unknowns: Mary s Mugs a. $1,875. Direct material cost per unit = Direct materials cost Units produced = $4,000 16,000 units = $0.25 per unit. Direct material used per mug = 0.4 pounds. Direct material cost per pound = $ pounds = $0.625 per pound. Direct material inventory = 3,000 pounds $0.625 per pound = $1,875. b. 2,200 units. Finished goods inventory (in units) = Finished goods inventory Manufacturing cost per unit. Manufacturing cost per unit = (Direct material + Direct labor + Indirect manufacturing cost) Units produced = ($4,000 + $18,000 + $3,600 + $4,000) 16,000 = $29,600 16,000 = $1.85 per unit. Finished goods inventory (in units) December 31, Year 1 = $4,070 $1.85 = 2,200 units c. $3.55. Selling price per unit = Revenues Units sold = Revenues (Units produced units in ending finished goods inventory) = $49,000 (16,000 2,200) = $49,000 13,800 = $3.55. d. $9,220. Operating income for the year: Revenues... $ 49,000 Cost of goods sold (13,800 x $1.85)... 25,530 Gross margin... $ 23,470 Less marketing and administrative costs Variable marketing and administrative costs... $2,250 Fixed marketing and administrative costs... 12,000 14,250 Operating profit... $ 9,220 Solutions Manual, Chapter 2 55

38 56 Fundamentals of Cost Accounting