Advanced Management Accounting Exam Review Paul Jeyakumar, M.Sc., CGA To assist you in answering the examination questions, CGA-Canada includes the following glossary of terms. Glossary of Assessment Terms Adapted from David Palmer, Study Guide: Developing Effective Study Methods (Vancouver: CGA-Canada, 1996). Copyright David Palmer. Calculate Compare Contrast Criticize Define Describe Design Determine Diagram Discuss Mathematically determine the amount or number, showing formulas used and steps taken. (Also Compute). Examine qualities or characteristics that resemble each other. Emphasize similarities, although differences may be mentioned. Compare by observing differences. Stress the dissimilarities of qualities or characteristics. (Also Distinguish between) Express your own judgment concerning the topic or viewpoint in question. Discuss both pros and cons. Clearly state the meaning of the word or term. Relate the meaning specifically to the way it is used in the subject area under discussion. Perhaps also show how the item defined differs from items in other classes. Provide detail on the relevant characteristics, qualities, or events. Create an outcome (e.g., a plan or program) that incorporates the relevant issues and information. Calculate or formulate a response that considers the relevant qualitative and quantitative factors. Give a drawing, chart, plan or graphic answer. Usually you should label a diagram. In some cases, add a brief explanation or description. (Also Draw) This calls for the most complete and detailed answer. Examine and analyze carefully and present both pros and cons. To discuss briefly Evaluate requires you to state in a few sentences the critical factors. This requires making an informed judgment. Your judgment must be shown to be based on knowledge and information about the subject. (Just stating your own ideas is not sufficient.) Cite authorities. Cite advantages and limitations. Explain In explanatory answers you must clarify the cause(s), or reasons(s). State the “how” and “why” of the subject. Give reasons for differences of opinions or of results. Identify Distinguish and specify the important issues, factors, or items, usually based on an evaluation or analysis of a scenario. Illustrate Make clear by giving an example, e.g., a figure, diagram or concrete example. Interpret Translate, give examples of, solve, or comment on a subject, usually making a judgment on it. Justify Prove or give reasons for decisions or conclusions. List Present an itemized series or tabulation. Be concise. Point form is often acceptable. Outline This is an organized description. Give a general overview, stating main and supporting ideas. Use headings and sub-headings, usually in point form. Omit minor details. Prove Establish that something is true by citing evidence or giving clear logical reasons. Recommend Propose an appropriate solution or course of action based on an evaluation or analysis of a scenario. Relate Show how things are connected with each other or how one causes another, correlates with another, or is like another. Review Examine a subject critically, analyzing and commenting on the important statements to be made about it. State Clearly provide a position based on an evaluation, e.g., Agree/Disagree, Correct/Incorrect, Yes/No. (Also Indicate) Summarize Give the main points or facts in condensed form, like the summary of a chapter, omitting details and illustrations. Trace In narrative form, describe progress, development, or historical events from some point of origin. QUESTIONS: 1. A company that produces 50,000 bicycles each year is considering the purchase of wheels from an outside vendor. This outsourcing would enable the company to increase its production by 15%. The company would pay the vendor $60 for 2 wheels, whereas it now costs $52 to produce the 2 wheels. Variable manufacturing costs are $28 per bicycle when the company produces the wheels in-house, but would decrease to $25 per bicycle if the wheels were outsourced. Other unit variable costs would remain at $80. The company sells all the bicycles for $280 each. What would be the increase or decrease in net income for this outsourcing project? Contribution margin: Producing: 50,000(280 – 52 – 80 – 28) Outsourcing: [50,000(1.15)](280 – 60 – 80 – 25) Increase in net income MA2 Exam Review Paul Jeyakumar, M.Sc., CGA $6,000,000 $6,612,500 $ 612,500 Page 3/35 2. Suzanne and her husband John own a strawberry field. They sell the strawberries for $3 per 500 grams. The cost related to the culture of strawberries is $1.50 per 500 grams. Instead of selling whole strawberries, Suzanne can also make strawberry jam, strawberry sauce, and strawberry pie. Each unit of a product requires 500 grams of strawberries. The prices for each unit of jam, sauce, and pie are, respectively, $6.00, $5.00, and $6.50. Additional unit costs for their production are, respectively, $2.00, $2.50, and $3.00. Should Suzanne and John sell whole strawberries or process further and sell jam, sauce, and pie? Incremental benefits associated with further processing: Jam: $6 – 3 – 2 = $1 Sauce: $5 – 3 – 2.50 = $(0.50) Pie: $6.50 – 3 – 3 = $0.50 Further process jam and pie. Do not produce sauce. 3. A company manufactures 3 products. Product 1 requires 3 machine hours and has a contribution margin of $390 per unit of product. Product 2 requires 4 machine hours and has a contribution margin of $487.50 per unit of product. Product 3 takes half the time of product 1 and has a contribution margin of $200 per unit of product. However, the company has a limited number of machine hours available for the production of these products. Which product should the company manufacture to maximize profits? CM per machine hour: Product 1: $390/3 = $130.00 per machine hour Product 2: $487.50/4 = $121.88 per machine hour Product 3: $200/1.5 = $133.33 per machine hour Manufacture Product 3. 4. Powersport is an energy drink well known among sports federations and athletes. Since it came out on the market 3 years ago, sales have increased continuously. The company believes it will sell 200,000 cases next year. A case contains 12 bottles of 375 ml Powersport and is sold for $18 per case to sporting events, which sell the bottles for $3 each. Based on the production of 200,000 cases, the production costs are: Labour $2.75 per case Raw materials $3.75 per case Variable and fixed overhead $3.00 per case Total fixed overhead $400,000 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 4/35 Last month, a manufacturer that makes containers out of recycled materials offered to make the bottles for $0.15 each. This proposition would enable Powersport to decrease its costs of labour and raw materials by 20%, and variable overhead would decrease to $0.60 per case. a. Should Powersport accept the proposition? Show all calculations b. Calculate the maximum price that Powersport should pay for a case of bottles. a. If the company does not accept the offer: Labour $ 2.75 Raw material 3.75 Variable overhead 1.00 $7.50 Fixed overhead is irrelevant = $400,000/200,000 cases = $2.00 per case. If the company accepts the offer: Labour [$2.75 × (1 – 0.20)] DM [$3.75 × (1 – 0.20)] Variable overhead Bottles ($0.15 × 12) $ 2.20 3.00 0.60 1.80 $ 7.60 The company should not accept the offer since the relevant costs would be $0.10/case higher. b. 5. MA2 $7.50 – (7.60 – 1.80) = $1.70 per case In the context of a special order that will enable a firm to use its idle capacity, which of the following costs are relevant? 1) Amortization of the equipment 2) Direct labour 3) Fixed marketing costs 4) Fixed overhead costs Answer 2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 5/35 6. A company has developed a regression equation to analyze the behaviour of its manufacturing costs (M) as a function of machine hours (H). The following equation was developed using monthly observations for the last 6 months: M = $12,000 + 6.75H If 2,000 machine hours are worked in 1 month, what would the estimated total manufacturing costs be? 1) $12,000 2) $13,500 3) $25,500 4) $27,000 Answer 3 7. Every month, NewHome Design uses 2,500 MG1 parts to manufacture one of its products. The unit costs incurred to manufacture the MG1 component are the following: Direct materials $ 85 Direct labour $ 135 Overhead costs are applied on the basis of direct labour dollars. Overhead costs amount to $650,000 a month and consist of 40% fixed costs. The remaining costs are variable costs. Last week, a vendor offered to partially make the MG1 component at a price of $250. Buying this component will allow NewHome to avoid all direct material costs and decrease the direct labour and variable overhead costs by 70%. Required a. In a make-or-buy decision, which costs are relevant? MA2 b. Should NewHome purchase the component from the outside vendor if the capacity remains idle? Explain your decision. c. What is the maximum price that the company would be willing to pay for the MG1 component? Exam Review Paul Jeyakumar, M.Sc., CGA Page 6/35 a. Relevant costs are variable and fixed costs that can be avoided in the future if the decision is to buy. b. Make Direct material Direct labour Variable overhead ($650,000 × 60% / 2,500) Variable costs Fixed costs ($650,000 × 40% / 2,500) Total costs $ 85.00 135.00 156.00 376.00 104.00 $480.00 Buy Component Direct labour ($135 × 30%) Variable OH ($650,000 × 60% / 2,500) × 30% Variable costs Fixed costs ($650,000 × 40% / 2,500) Total costs $250.00 40.50 46.80 337.30 104.00 $441.30 NewHome Design should buy the MG1 component because the total costs are lower when the component is bought. c. Savings as a result of purchasing the component: Direct material ($85 × 100%) $ 85.00 Direct labour ($135 × 70%) 94.50 VOH [($650,000 × 60% / 2,500) × 70%] 109.20 $288.70 Hence, the company should not pay more than $288.70. 8. A small fudge company sells three delicious varieties of fudge: plain, fudge with nuts, and fudge with raisins. Last week, the city asked the company to produce 1,000 plain fudge packages for its annual children’s festival. This order will require a set-up time cost of $200. Variable costs are $0.80 per package. If the company has excess capacity, what is the minimum price per package for this production, considering that its fixed costs are $0.30 per package? (200/1000) + 0.80 = $1.00 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 7/35 9. A dairy company produces 1%, 2%, and 3.25% milk. The price of the products is $1.50 for a litre of milk. The production costs of 100,000 litres are: Milk Direct labour Overhead $ $ $ 35,000 25,000 50,000 Once the production is complete, the milk is poured into 1-litre bottles and distributed to grocery stores. The cost of a bottle is $0.15 and transportation costs are $0.02 per litre of milk. The company could also further process 50,000 litres of milk into 30,000 litres of ice cream. If the company decides to produce ice cream, 1 litre of ice cream could be sold for $3.00 and all production costs related to ice cream would increase by 20%. Each ice cream container costs $0.20 and transportation costs are $0.05 per litre of ice cream. Should the company further process 50,000 litres of milk into ice cream? Show all calculations. If the company sells only milk: Sales ($1.50 × 100,000) $150,000 Cost of milk (35,000) Labour (25,000) Overhead (50,000) Bottle ($0.15 × 100,000) (15,000) Transportation costs ($0.02 × 100,000) (2,000) Profit $ 23,000 If the company produces both ice cream and milk: Sales of milk ($1.50 × 50,000) $ 75,000 Sales of ice cream ($3.00 × 30,000) 90,000 Cost of milk ($35,000 × 50%) (17,500) ($35,000 × 50%)1.2 (21,000) Labour ($25,000 × 50%) (12,500) ($25,000 × 50%)1.2 (15,000) Overhead ($50,000 × 50%) (25,000) ($50,000 × 50%)1.2 (30,000) Milk bottles ($0.15 × 50,000) (7,500) Ice cream containers ($0.20 × 30,000) (6,000) Transportation— milk ($0.02 × 50,000) (1,000) ice cream ($0.05 × 30,000) (1,500) Profit $ 28,000 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 8/35 The company should further process 50,000 litres of milk into ice cream since it makes $5,000 more profit. 10. Which of the following is least likely to be a relevant cost of inventories for decision-making purposes? 1) Market value 2) Opportunity cost 3) Historical cost 4) Replacement cost Answer 3 11. Which of the following is not a principle of effective decision framing? 1) Need for component searches 2) Need for pre-screening the decisions 3) Irrelevance of increasing transformations 4) Importance of local searches Answer 2 12. What do accountants use local linear approximations (LLAs) to estimate? 1) Total revenue 2) Total cost 3) Marginal revenue 4) Marginal cost Answer 4 Note: Use the following information about product x to answer questions (13) and (14). Sales (50,000 units) Raw materials Direct labour Variable overhead Fixed overhead Variable sales and administrative costs Fixed sales and administrative costs 13. $ $ $ $ $ $ $ 750,000 150,000 100,000 60,000 65,000 6,000 24,000 What is the company’s approximate break-even point in units? 89,000 / [(750,000 – 150,000 – 100,000 – 60,000 – 6,000) / 50,000] = 10,254 units MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 9/35 14. How many units the company needs to sell if the required net profit is $50,000? (50,000 + 89,000) / [(750,000 – 150,000 – 100,000 – 60,000 – 6,000) / 50,000] = 16,014 15. Optoys Inc. manufactures and sells different models of toys, which are grouped into 4 different product lines: T1, T2, T3, and T4. The firm has been very successful, but the demand for toys is highly seasonal and Optoys does not have enough capacity or flexibility to satisfy the demand for Christmas sales on a just-in-time basis. To overcome this problem, Optoys manufactures the toys in advance and keeps them in a warehouse until they are shipped to retailers. This allows Optoys to spread the production over many weeks. However, warehousing capacity is limited and storage costs increase with the holding period, which, over the last 2 years, has doubled from an average of 5 weeks to an average of 10 weeks. The CEO of Optoys is concerned that this lack of flexibility could be a constraint in the future as the demand increases and storage costs become prohibitive because additional space has to be rented. A solution to the problem would be to invest in new molding equipment that would double the production capacity, reduce the average holding period, and reduce the storage costs. This equipment acquisition would require a major financial investment and the CEO is wondering what the effect would be on the contribution margin of the firm. The average contribution margin, the storage requirements, the production requirements, and the maximum demand for each product line are as follows: Average CM/unit Product Line T1 T2 T3 T4 $ $ $ $ 9.00 10.80 14.20 17.00 Storage (Cubic Ft) 0.8 1.1 1.7 2.2 Production (in Hours) 0.030 0.050 0.055 0.070 Demand (in Units) 20,000 15,000 10,000 7,000 The maximum storage capacity of the warehouse is 24,000 cubic feet, and the variable storage costs for a 10-week period are estimated to be 10% of the average contribution margin. The monthly production capacity currently available is 1,000 hours. Moreover, retailers do not accept early deliveries so that only half of the units can be delivered immediately. It is assumed that the other half will have to be stored for an average of 10 weeks. MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 10/35 To solve his problem, the CEO has set up the following linear program: Maximize: CM (T1D, T2D, T3D, T4D, T1S, T2S, T3S, T4S) = 9.00T1D + 10.80T2D + 14.20T3D + 17.00T4D + 8.10T1S + 9.72T2S + 12.78T3S + 15.30T4S Subject to: T1D <= 10,000 (1) T2D <= 7,500 (2) T3D <= 5,000 (3) T4D <= 3,500 (4) T1D + T1S <= 20,000 (5) T2D + T2S <= 15,000 (6) T3D + T3S <= 10,000 (7) T4D + T4S <= 7,000 (8) 0.03T1D + 0.05T2D + 0.055T3D + 0.07T4D <= 1,000 (9) 0.8T1S + 1.1T2S + 1.7T3S + 2.2T4S <= 24,000 (10) Where: T1D represents the number of units of T1 produced and delivered immediately T2D represents the number of units of T2 produced and delivered immediately T3D represents the number of units of T3 produced and delivered immediately T4D represents the number of units of T4 produced and delivered immediately T1S represents the # of units of T1 produced and stored for 10 weeks T2S represents the number of units of T2 produced and stored for 10 weeks T3S represents the number of units of T3 produced and stored for 10 weeks T4S represents the number of units of T4 produced and stored for 10 weeks The linear program was first solved using Solver and the current monthly production capacity of 1,000 hours (see Exhibit 1). It was solved a second time assuming a production capacity of 2,000 hours (see Exhibit 2). EXHIBIT 1 First solution: monthly production capacity of 1,000 hours MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 11/35 Answer Report Target Cell (Max) Cell Name $J$10 Total contribution margin Original Value 0 Final Value 477,199 Adjustable Cells Cell $B$9 $C$9 $D$9 $E$9 $F$9 $G$9 $H$9 $I$9 Number Number Number Number Number Number Number Number Original Value 0 0 0 0 0 0 0 0 Final Value 10,000 3,600 5,000 3,500 10,000 11,400 2,035 0 Constraints Cell $K$16 $C$14 $E$14 $D$14 $B$14 $M$16 $C$9 $D$9 $B$9 $E$9 Name Storage capacity Total demand for T2 Total demand for T4 Total demand for T3 Total demand for T1 Production capacity Number of units of T2D Number of units of T3D Number of units of T1D Number of units of T4D Name of units of units of units of units of units of units of units of units of of of of of of of of T1D T2D T3D T4D T1S T2S T3S T4S Cell Value 24,000 15,000 3,500 7,035 20,000 1,000 3,600 5,000 10,000 3,500 Formula $K$16<=24000 $C$14<=15000 $E$14<=7000 $D$14<=10000 $B$14<=20000 $M$16<=1000 $C$9<=7500 $D$9<=5000 $B$9<=10000 $E$9<=3500 Status Binding Binding Not binding Not binding Binding Binding Not binding Binding Binding Binding Slack EXHIBIT 1 (Continued) MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 12/35 0 0 3,500 2,965 0 0 3,900 0 0 0 Sensitivity Report Adjustable Cells Cell $B$9 $C$9 $D$9 $E$9 $F$9 $G$9 $H$9 $I$9 Name Number of units of T1D Number of units of T2D Number of units of T3D Number of units of T4D Number of units of T1S Number of units of T2S Number of units of T3S Number of units of T4S Final Reduce Objective Value Cost Coefficient 10,000 1.30 9.00 3,600 0.00 10.80 5,000 3.92 14.20 3,500 3.91 17.00 10,000 0.00 8.10 11,400 0.00 9.72 2,035 0.00 12.78 0 -1.24 15.30 Allowable Allowable Increase Decrease 1.00E+30 1.30E+00 2.17E+00 9.35E+00 1.00E+30 3.92E+00 1.00E+30 3.91E+00 1.30E+00 2.09E+00 9.35E+00 1.45E+00 2.24E+00 9.57E-01 1.24E+00 1.00E+30 Name Storage capacity Total demand for T2 Total demand for T4 Total demand for T3 Total demand for T1 Production capacity Final Shadow Constraint Value Price R.H. Side 24,000 7.52 24,000 15,000 1.45 15,000 3,500 0.00 7,000 7,035 0.00 10,000 20,000 2.09 20,000 1,000 186.99 1,000 Allowable Allowable Increase Decrease 5,040 3,460 3,145 4,582 1E+30 3,500 1E+30 2,965 4,325 6,300 195 157 Constraints Cell $K$16 $C$14 $E$14 $D$14 $B$14 $M$16 EXHIBIT 2 Second solution: monthly production capacity of 2,000 hours MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 13/35 Answer Report Target Cell (Max) Cell Name $J$10 Total contribution margin Original Value 0 Final Value 540,368 Adjustable Cells Cell $B$9 $C$9 $D$9 $E$9 $F$9 $G$9 $H$9 $I$9 Name Number of units of T1D Number of units of T2D Number of units of T3D Number of units of T4D Number of units of T1S Number of units of T2S Number of units of T3S Number of units of T4S Original Value 0 0 0 0 0 0 0 0 Final Value 20,000 12,100 10,000 3,500 0 2,900 0 0 Constraints Cell $E$14 $D$14 $B$14 $C$14 $K$16 $M$16 $C$9 $D$9 $E$9 $B$9 Name Total demand for T4 Total demand for T3 Total demand for T1 Total demand for T2 Storage capacity Production capacity Number of units of T2D Number of units of T3D Number of units of T4D Number of units of T1D Cell Value 3,500 10,000 20,000 15,000 3,190 2,000 12,100 10,000 3,500 20,000 Formula $E$14<=3500 $D$14<=10000 $B$14<=20000 $C$14<=15000 $K$16<=24000 $M$16<=2000 $C$9<=15000 $D$9<=10000 $E$9<=7000 $B$9<=20000 Status Binding Binding Binding Binding Not binding Binding Not binding Binding Not binding Binding Slack 0 0 0 0 20,810 0 2,900 0 3,500 0 EXHIBIT 2 (Continued) Sensitivity Report Adjustable Cells Cell $B$9 $C$9 $D$9 $E$9 $F$9 $G$9 $H$9 $I$9 Name Number of units of T1D Number of units of T2D Number of units of T3D Number of units of T4D Number of units of T1S Number of units of T2S Number of units of T3S Number of units of T4S Final Reduce Objective Value Cost Coefficient 20,000 0 9 12,100 0 11 10,000 0 14 3,500 0 17 0 (0) 8 2,900 0 10 0 0 13 0 (0) 15 Allowable Allowable Increase Decrease 1E+30 0 0 1 1E+30 0 1E+30 0 0 1E+30 1 0 0 13 0 1E+30 Name Total demand for T4 Total demand for T3 Total demand for T1 Total demand for T2 Storage capacity Production capacity Final Shadow Constraint Value Price R.H. Side 3,500 15.49 3,500 10,000 12.78 10,000 20,000 8.35 20,000 15,000 9.72 15,000 3,190 0.00 24,000 2,000 21.60 2,000 Allowable Allowable Increase Decrease 3,500 2,071 0 12,241 0 4,833 18,918 2,900 1E+30 20,810 145 605 Constraints Cell $E$14 $D$14 $B$14 $C$14 $K$16 $M$16 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 14/35 Required a. Based on the reports of the first linear program (Exhibit 1), how much more should Optoys be willing to pay for additional hours of production capacity? Justify your answer. b. Based on the reports of the first linear program, how much more should Optoys be willing to pay for additional storage capacity? Explain and support your answer with appropriate calculations. c. Explain why only 3,600 units of T2D are produced in the first linear program even though retailers would be willing to accept immediate delivery of 7,500 units. Support your answer with appropriate calculations. d. Based on the results of the two linear programs, how much should Optoys be willing to pay for the new molding equipment? What approaches could Optoys use to make the decision? e. Identify three other factors Optoys should consider before making the decision to buy the equipment. a. Optoys should not pay more than additional $186.99 for each additional hour of production capacity. This is given by the shadow price for the production capacity constraint in the sensitivity report. The shadow price measures the increase in contribution margin for each additional hour of production capacity that becomes available. The shadow price of $186.99 is only valid within certain limits. In this case, it remains valid as long as total production capacity does not increase by more than 195 hours or decrease by more than 157 hours. It is also assumed that all relationships remain linear and that no other constraint changes. b. Optoys should not pay more than an additional $7.52 for each additional cubic foot of storage capacity. This is given by the shadow price for the storage capacity constraint in the sensitivity report. If more space is available, more units of T3 will be stored. Since a unit of T3 requires 1.7 cubic feet and has a contribution margin per unit of $14.20, one more foot of storage will increase contribution margin by ($14.20 × 0.9)/1.7 = $7.52. This price is only valid within certain limits. In this case, it remains valid as long as total storage capacity does not increase by more than 5,040 cubic feet or decrease by more than 3,460 cubic feet. It is also assumed that all relationships remain linear and that no other constraint changes. MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 15/35 c. Immediate delivery would help Optoys avoid the variable storage costs but the firm’s production capacity is limited to 1,000 hours. Since the storage costs are all equal to 10% of the contribution margin, Optoys maximizes its total contribution margin by first using its production capacity to produce for immediate delivery the maximum number of units of the product with the highest contribution margin per hour of production capacity. It then produces the product with the second-highest contribution margin and so on until all hours are used. Contribution margin of each product per hour of production: T1 T2 T3 T4 Contribution margin per unit $9.00 $10.80 $14.20 $17.00 Hours of production per unit 0.03 0.05 0.055 0.07 CM per hour of production $300 $216 $258.18 $242.86 Production that maximizes the contribution margin is given in the following table: Production Hours/unit Units manufactured Hours used Hours left T1 T3 T4 T2 0.030 0.055 0.070 0.050 10,000 5,000 3,500 3,600 300 275 245 180 1,000 700 425 180 0 d. With the new equipment, the contribution margin will increase by $63,169 ($540,368 – $477,199). One approach would be to use an appropriate payback period, and suggest the maximum price. Another approach would be to compare the net present value of the increase in the contribution margin with the present value of the investment in the new equipment. e. Some factors to consider: • Whether the new equipment could improve the quality of the products • The cost of the new equipment • A possible reduction of the fixed costs related to the storage capacity • The possibility of renting the storage space that will not be used MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 16/35 Note: Use the following information to answer parts (16) and (17). A company manufactures a maximum of 30,000 backpacks per year. The unit costs of direct labour, raw materials, and applied overhead (based on 80% of the maximum production) are, respectively, $9.50, $6.00, and $15.00. Fixed overhead represents 60% of total applied overhead. 16. What should the unit selling price of a backpack be to break even? 1) $21.50 2) $24.50 3) $30.50 4) $38.13 Answer 3 SP at BEP = $9.50 + $6.00 + 0.4 ($15.00) + 0.6 ($15.00) = $30.50 17. If the unit selling price is set at $65.00, how many units must be sold to generate an income of $20,000? 1) 5,426 2) 6,667 3) 6,841 4) 8,406 Answer 1 CM = $65.00 - $21.50 = $43.50/unit Fixed costs + Target income = 0.60 x 15 x 24,000 + 20,000 = $236,000 No of units = $236,000/$43.50 = 5,426 18. MA2 What is the theory of constraints? 1) A theory which requires that limiting constraints be identified and ranked from the most to the least limiting 2) A theory which requires managers to identify the ethical constraints 3) A theory which requires that decisions involving limited resources be based on constraint prices 4) A theory which requires that the net present value of an investment be determined after having considered all the constraints Answer 1 Exam Review Paul Jeyakumar, M.Sc., CGA Page 17/35 19. A company uses a firm-wide allocation basis to assign overhead to products. The coefficient of determination of this basis with overhead costs is 0.54. The price of the products is $20. What does this result suggest? 1) That 0.54 of the variation in the basis is explained by a change in overhead costs 2) That 0.54 of the variation in overhead costs is explained by a change in the allocation basis 3) That 0.54 of the variation in the price of the products is explained by a change in overhead costs 4) That 0.54 of the variation in the gross profit is explained by a change in overhead costs Answer 2 Note: Use the following information to answer parts (20), (21), and (22). In the year 2004, a biopharmaceutical company introduced a new product, which has been very successful. Sales for this product are increasing at a rate of 6% per month. At this pace, the company will not be able to meet future demand with its current equipment, and as a result, it is planning to purchase another machine. The cost of the new machine is $800,000, and the company will incur a cost of $90,000 to train new staff to operate it. Cash flows before tax are estimated at an average of $180,000 per year. The useful life of the machine is 15 years, and no salvage value is expected. The company’s cost of capital is 12%, its income tax rate is 40%, and its capital cost allowance (CCA) is 10%. 20. What is the present value of the cash inflows of the new machine? 1) $274,945 2) $473,617 3) $549,890 4) $735,577 Answer 4 Present value of cash inflows: 180,000[(1 – (1.12)-15)/0.12](1 – 0.4), or 180,000 (1 – 0.4) (6.8109) = $735,577 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 18/35 21. What is the present value of the CCA tax saving of the new machine? 1) $105,569 2) $137,662 3) $172,078 4) $344,155 Answer 2 Present value of CCA tax saving: 800,000 × 40% × 10% 1 + 0.5 (0.12) × =$137,662 0.10 + 0.12 1 + 0.12 22. What is the payback period? 1) 4.74 years 2) 4.94 years 3) 7.41 years 4) 7.91 years Answer 4 854,000/180,000 (1 – 0.40) = 7.91 years 23. A company is considering replacing an old machine with a new one. Which of the following is not relevant in the investment analysis? 1) Differences in recurring cash flows 2) Initial investment in the old equipment 3) Initial investment in the new equipment 4) Tax shield from amortization Answer 2 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 19/35 24. A company is considering replacing a machine acquired 7 years ago at a cost of $38,000. The market value of this machine is now $2,500. Managers wish to buy a new machine because they want to reduce manufacturing costs. The best machine available on the market costs $52,000. It is expected to last for 5 years and the salvage value at the end of 5 years would be $5,000. Currently, the price charged for 1 unit of the company’s product is $4, and 100,000 units are sold each year. The production costs per unit are: Direct materials $ 0.85 Direct labour 0.70 Overhead 0.60 Total $ 2.15 70% of overhead costs are fixed. With the new machine, managers expect to save 20% of variable costs. The desired rate of return before-tax is 25%, the capital cost allocation rate is also 25%, and the company tax rate is 40%. Required Use the net present value method to determine whether the company should replace its old machine with a new one. State your conclusion. Initial investment outlay Investment in new equipment $ Sale of old equipment Total initial investment outlay $ 52,000 2,500 49,500 Net present value Initial investment outlay $ (49,500) Present value of cash flows from operating cost savings (0.85 + 0.70 + 0.60 × 30%) × 20% × 100,000 × (1 – 40%) = 20,760 20,760 × 3.3522 (annuity factor for 15% 1, 5 years) 69,592 Present value of tax saving from CCA $49,500 × 25% × 40% 1 + 0.5 × 15% × 25% + 15% 1 + 0.15 MA2 Exam Review 11,568 Paul Jeyakumar, M.Sc., CGA Page 20/35 Present value of loss due to salvage value $5,000 × 25% × 40% 1 × 25% + 15% (1 + 0.15) 5 (621) Present value of salvage value $5,000 × (1 + 15 %)-5 or $5,000 × 0.4972 Net present value of the new machine 2,486 $ 33,525 Decision: the net present value is positive. The company should replace the old machine with a new one. 1 25% (1 – 40%) = 15% 25. Management of Hillman Company (HC) is considering a proposal to acquire a new piece of manufacturing equipment. The new equipment has the same capacity as the old equipment but will provide operating efficiencies in direct labour and direct materials usage. The savings in operating costs are estimated at $100,000 annually. The new equipment will cost $485,000 and will be purchased at the beginning of 2004. The equipment dealer is certain that the equipment will be fully operational commencing at the beginning of the third quarter of 2004. Therefore, HC’s management believes that only 55% of the estimated savings can be obtained in 2004. During the first few days, the staff will undergo training on the use of the new equipment at a cost of $25,000. During the same few days, management estimates that production will be reduced by 300 units because of the training activities. The sale price and total unit cost are: Sale price per unit $ Direct materials $ Direct labour Variable overhead Fixed overhead Total unit cost $ 60 15 12 13 5 45 The old equipment has a book value of $37,000 but HC’s management expects to receive $22,000 for its disposal. The new equipment will have a disposal value of $50,000 after its expected MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 21/35 economic life of 10 years. Straight-line amortization is used for accounting purposes. The new equipment’s capital cost allowance rate is 20%. HC requires a 12% after-tax return on investment and has a 40% tax rate. Required Based on the net present value method, determine if HC should acquire the new manufacturing equipment. Show all calculations. Net present value of the new manufacturing equipment: Initial investment outlay $ (485,000) After-tax cot of training [$25,000 – (1 – 0.4)] (15,000) Proceeds from old equipment 22,000 Contribution margin lost on the 300 units 300 × ($60 – $45 + $5) = $6,000 $6,000 × (1 – 40%) (3,600) Cost savings in 2004 55% × $100,000 × (1 – 40%) × 1.12–1 29,466 PV of cost savings in 2005 until 2013 (9 years, 12%) $100,000 (1 – 40%) × 5.3282 × 0.8929 285,453 Present value of tax saving from amortization ($485,000 − $22,000) × 20% × 40% × 1.06 20% + 12% 1.12 109,549 Present value of loss due to salvage value $50,000 × 20% × 40% 1 × 20% + 12% (1.12)10 Present value of salvage value $50,000 × (1.12)–10 Net present value of the new equipment investment (4,025) 16,099 $(45,058) Based on the net present value method, Hillman Company should not invest in the new equipment because the net present value is negative. MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 22/35 26. Which of the following can be best described as a target cost? 1) Cost incurred after the end of the target cycle 2) Cost incurred during the development stage 3) Cost incurred to meet profit targets 4) Cost incurred to meet sales targets Answer 3 27. Which of the following statements represents the main objective of Kaizen costing? 1) Kaizen costing accumulates all costs that are associated with a short- or long-term project. 2) Kaizen costing simplifies the computation of costs in a just-intime environment. 3) Kaizen costing reduces costs and improves quality through continuous improvement. 4) Kaizen costing evaluates the amount of costs related to the quality of a product. Answer 3 28. Kaizen costs are generally used during which period of the life cycle of a product? 1) Control 2) Planning 3) Production 4) Development Answer 3 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 23/35 29. Recently, the accountant of SYST Inc. prepared a report on the costs of quality for the last 3 years. He needs someone to help interpret these results. SYST INC. Cost of Quality Report 2004 - 2006 2004 2005 2006 Amortization of testing equipment $10,000 Disposal of defective products 12,000 Inspection 11,000 Net cost of scrap 5,200 Product recalls 8,000 Product testing 8,500 Quality engineering 4,000 Rework labour 6,000 Statistical process control 4,500 Supplies used in testing 8,750 System development 10,500 Warranty repairs 10,650 Warranty replacements 9,550 TOTAL $ 108,650 $9,500 18,000 10,500 7,100 10,500 8,600 3,800 8,100 4,600 8,300 10,000 13,050 10,850 $122,900 $8,700 22,500 10,000 9,100 13,500 8,000 3,750 8,950 4,800 7,550 9,000 19,450 14,250 $139,550 % of sales 12.94% 14.69% 11.44% The amount of sales is $950,000 for each year. Required a. Calculate the prevention costs and the external failure costs for every year, including the total costs as a percentage of sales. b. Interpret your answer in part (a), and explain briefly the effect of the results on future sales. MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 24/35 a. 2004 2005 2006 $10,500 4,000 4,500 $19,000 $10,000 3,800 4,600 $18,400 $9,000 3,750 4,800 $ 17,550 2.00% 1.94% 1.85% $8,000 10,650 9,550 $ 28,200 $10,500 13,050 10,850 $34,400 $ 13,500 19,450 14,250 $ 47,200 2.97% 3.62% 4.97% Prevention costs Systems development Quality engineering Statistical process control Total % of sales External failure costs Products recalls Warranty repairs Warranty replacements Total % of sales b. Since 2004, investments in prevention costs have decreased but external failure costs have increased. The company should invest in prevention costs because its external failure costs have increased. The effects of this increase in external failure costs could have a negative impact on futures sales. 30. Which of the following costs is considered an internal failure cost in a quality-cost report? 1) Inspection 2) Rework labour 3) Training 4) Warranty repairs Answer 2 31. In a quality-cost report, each category of quality costs is expressed as a percentage of which of the following? 1) Total costs 2) Total labour costs 3) Total quality costs 4) Total sales Answer 4 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 25/35 32. Recently, the shipping department of a company has experienced several problems, such as an increasing employee turnover rate, increasing costs, and late deliveries. In order to reduce the effects of these problems, senior management has decided to perform an activity-based analysis. Required a. State the steps that the company should undertake to gather all the relevant information relative to the problems. b. In this particular situation, explain the benefits associated with using an activity-based management system (ABM). a. • • • • • • • • • • MA2 Obtain the existing cost information and reports on the shipping process. Determine the major processes and activities that occur within the shipping department. Observations, interviews, storyboards, and analyses of company records could identify the processes of the shipping department. Identify the inputs that start each process and the outputs that each process produces. Determine the activities in the process. Identify the resources used by each activity. Define an output measure, financial or nonfinancial, for each major activity. Define a performance measure, financial or nonfinancial, for each major activity. Record the actual performance on the selected performance measures. Compare the actual performance measure to historical performance, an external benchmark, or a target. Find improvement ideas. Exam Review Paul Jeyakumar, M.Sc., CGA Page 26/35 b. • • • 33. ABM leads to better process understanding of the shipping department. It provides a detailed understanding of practices used and their impact on costs, quality, and time. • It helps the company to determine the non-value-added activities in the shipping process and how they can be eliminated. • By a better understanding of the organization, it helps the company to determine which particular practices need to be improved. It encourages employee participation and shows them that their participation is valued. What is the purpose of total-life-cycle product costing? 1) To enable management to determine if a specific product line is profitable 2) To enable management to determine if a specific market region is profitable over its life cycle 3) To enable management to determine if a customer is profitable over its life cycle 4) To enable management to determine if a product is profitable over its life cycle Answer 4 34. PicturesPerfect is a camera manufacturing company. For two decades, the company was a market leader in the camera industry. However, with increasing competition, the last two years have been difficult for PicturesPerfect. The company has experienced a decrease in sales since competitors have been able to offer a similar product at a lower price. The company suspects that its manufacturing process and obsolete machinery are partly responsible for its inability to keep production costs competitive. Required MA2 a. Explain why a benchmarking analysis would help solve the company’s problems. b. Explain how the benchmarking analysis should be implemented in PicturesPerfect. Exam Review Paul Jeyakumar, M.Sc., CGA Page 27/35 a. • • • • b. • • • • MA2 Benchmarking is a search for the best practices within another organization. It would point out which areas of the business should be improved and would provide information that could be used to improve manufacturing processes. Comparisons with the best practices of other companies would allow the company to determine what the actual problems of the company are and why PicturesPerfect is not competitive in the present environment. By making comparisons such as how other organizations manage their manufacturing processes, it would help the company to determine if processes and machinery are really a problem and what results can be achieved with other manufacturing procedures and new equipment. Benchmarking would force the company to consider competitors; it would help the company focus on what should be done if it wants to stay in business. Conducting internal study and preliminary analysis Developing long-term commitment to the benchmarking project and coalescing the benchmarking team Identifying benchmarking partners Information-gathering and sharing methods • Taking action to meet or exceed benchmarks Exam Review Paul Jeyakumar, M.Sc., CGA Page 28/35 35. Which of the following is an example of adverse selection? 1) Decentralization 2) Goal congruence 3) Life insurance 4) Trust Answer 3 36. What is the meaning of in vitro? 1) From within the organization 2) From within the living organism 3) From without the living organism 4) From without the organization Answer 3 37. When does information asymmetry exist? 1) When agency costs are superior to profits 2) When all parties have access to the same information 3) When costs are assigned to the wrong party 4) When one party has access to information that the others do not have access to Answer 4 38. Which of the following is a concept underlying agency theory? 1) Benchmarking 2) Linear programming 3) Moral hazard 4) Outsourcing Answer 3 39. Organizational architecture consists of which of the following systems? 1) Cost accounting 2) Differentiation 3) Mission of the firm 4) Partition decision rights Answer 4 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 29/35 40. Which of the following statements correctly defines agency cost? 1) The decline in firm value that results from principals pursuing their own interest 2) The decline in firm value that results from agents pursuing their own interest 3) The cost of resolving disputes with customers 4) The cost incurred when employees try to influence decisions in their own interest Answer 2 41. What are the two basic advantages of long-term employment and internal labour markets under agency theory? 1) Motivation and truth-inducing bonus 2) Information and participative budgeting 3) Motivation and information 4) Information and truth-inducing bonus Answer 3 42. What does in vivo mean? 1) From within the organization 2) From within the living organism 3) From without the living organism 4) From without the organization Answer 2 43. A small company in Vancouver sold $788,000 worth of its products last year. Net income represents 24% of sales. NOPAT and total capital are, respectively, $240,000 and $520,000. The weighted average cost of capital and the required cost of capital were, respectively, 15% and 12%. What is EVA? 1) $111,120 2) $126,720 3) $162,000 4) $177,600 Answer 3 EVA = NOPAT – (WACC × Total capital) $240,000 – (0.15 × $520,000) = $162,000 44. MA2 Which of the following is an example of a profit centre? 1) A distribution centre 2) A division 3) A factory 4) A branch Answer 4 Exam Review Paul Jeyakumar, M.Sc., CGA Page 30/35 45. Which of the following performance measures is most appropriate for an investment centre? 1) Return on investment 2) Gross margin 3) Variances 4) Net margin Answer 1 46. The following information pertains to a major soft drink company. The company’s cost of capital is 12%. The 2002 data are as follows: Sales Net profit Investments Profit margin as a % of sales Investment turnover 1 Return on investment Residual income 1 ? $300,000 ? 30% 1.25 ? ? Defined as sales divided by investments. Required a. Determine the amount of sales and investments, the return on investment (ROI), and the residual income (RI). b. Briefly explain two different approaches that could be used by the managers of the company to improve the ROI. Provide calculations to support your explanation. a. Profit margin = 30% = Income Sales $300,000 Sales Therefore, Sales = $300,000 / 30% = $1,000,000 Investment turnover = 1.25 = MA2 Sales Investments $1,000,000 Investments Exam Review Paul Jeyakumar, M.Sc., CGA Page 31/35 Therefore, investments = $1,000,000 / 1.25 = $800,000 ROI = Sales margin × Investment turnover ROI = 30% × 1.25 = 37.5% Residual income = Income – (Cost of capital × Investments) Residual income = $300,000 – (12% × $800,000) = $204,000 b. There are three possible ways to improve the company’s ROI: i) Increase income, while keeping investments the same. Suppose income increases to $400,000. The new ROI is: ROI = $400,000 Income = = 50% > 37.5% Investments $800,000 ii) Decrease investments, while keeping income at the same level as in part (a). Suppose invested capital decreases to $700,000. The new ROI is: ROI = iii) Income $300,000 = = 42.9% > 37.5% Invested capital $700,000 Increase income and decrease investments. Suppose income increases to $400,000 and investments decrease to $700,000. The new ROI is: ROI = 47. $400,000 Income = = 57.1% > 37.5% Investments $700,000 Which of the following statements best describes a cost centre as a responsibility centre? 1) Cost accountants are responsible for preparing reports. 2) Managers are responsible for costs incurred but are not responsible for revenues. 3) Managers are responsible for both revenues and costs. 4) Managers are responsible for controllable costs. Answer 2 Use the following information to answer questions (47) and (48). A company is putting together a training program to improve the productivity of its workers. Managers expect that this program will enable the firm to save $5,000 at the present level of sales. Here is the income statement of the company. MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 32/35 SPRING COMPANY Income Statement Year ended March 31, 2003 Sales $ 80,000 Cost of goods sold (55,000) Gross margin 25,000 Selling and administrative expenses (12,000) Net income before taxes $ 13,000 Variable costs represent 80% of the cost of goods sold and 20% of selling and administrative expenses. 48. What is the approximate equivalent sales volume in sales dollars for the proposed improvement, under the conceptual method? 1) $ 812.50 2) $ 8,620.00 3) $ 16,000.00 4) $ 30,769.00 Answer 4 Profit before tax as a % of sales = $13,000/$80,000 = 16.25% Additional sales volume required = $5,000/16.25% = $30,769 49. What is the approximate increase in sales volume required to match the cost reduction resulting from the quality improvement program using contribution margin approach? 1) $ 8,620 2) $ 11,905 3) $ 16,000 4) $ 30,769 Answer 2 CM = $80,000 – [($55,000 x 80%) + ($12000 x 20%] = $33,600 CM ratio = $33,600/$80,000 = 0.42 Increase in sales = $5,000/0.42 = $11,905 50. The CD division of Musik Inc. is using the economic value added (EVA) measure to assess performance. EVA for 2006 has been calculated at $340,670. The data used to achieve this result were the following: Marginal tax rate After-tax cost of debt Cost of equity 40% 9% 13% 20% of the research costs were capitalized under GAAP in 2006. MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 33/35 The amortization period for the research $ development costs is 5 years. GAAP income $ 435,000 EVA — adjusted total capital, December 31, 2005 1,330,000 Expected EVA — adjusted total capital, Dec 31, 2006 1,450,000 Total research costs in 2006 40,000 Development costs in 2006 expensed under GAAP 28,000 Impairment loss of goodwill attributed to CD division and Included in its calculation of GAAP income 21,000 a. Determine the capital structure of this company. Show all calculations. b. Explain the significance of Musik’s EVA measure, and explain, in general, the significance of an EVA measure to a company. a. Calculation of NOPAT: GAAP income $ 435,000 Research costs in 2006 expensed under GAAP ($40,000 × 80%) 32,000 Development costs in 2006 expensed under GAAP 28,000 Amortization of R&D ($60,000 / 5) (12,000) Impairment loss of goodwill attributed to CD div and included in its calculation of GAAP income 21,000 NOPAT $ 504,000 Calculation of WACC: WACC = (NOPAT – EVA) / Total capital = ($504,000 – $340,670) / $1,330,000 = 12.28% Structure of capital: WACC = Debt ratio × After-tax cost of debt + Equity ratio × Cost of equity 0.1228 = Debt ratio × 0.09 + (1 – Debt ratio) × 0.13 0.18 = Debt ratio Thus, the capital structure of this company is 18% debt and 82% equity. b. The economic value added for the benefit of shareholders is $340,670, which means that the company has made profit and is able to create value. EVA is beneficial to the MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 34/35 company to assess the extent to which the market value of the organization has increased or decreased and to learn how to measure “true” profitability. It also helps to make operational decisions that ensure optimal use of capital, to identify highreturn projects, and to redirect resources into them. 51. SQ Inc. has two divisions, S1 and Q2. S1 can produce up to 2,000 units of T97 per year. 1,800 units can be sold at a market price of $88. Q2 needs 300 units. For interdivisional sales, variable selling cost can be avoided. Last year, S1 incurred the following unit costs: Variable manufacturing costs $37 Fixed manufacturing costs $22 Variable selling cost $5 What is the minimum transfer price per unit that would be acceptable for S1? Minimum transfer price = Marginal/variable production costs + Lost contribution margin = $37+100x$(88–5–37)/300 = $37+100x46/300 = $52.33 MA2 Exam Review Paul Jeyakumar, M.Sc., CGA Page 35/35