CMA Accelerated Program Test 3 SAMPLE
Transcription
CMA Accelerated Program Test 3 SAMPLE
CMA Accelerated Program Test 3 SAMPLE Duration: 3 hours This examination has a total of 16 pages (including a 2 page supplement) and consists of 6 questions. Ensure that you have a complete examination paper before starting to answer the questions. Name: Member # : CMA Accelerated Program Sample Test 3 Question 1 - Multiple Choice (24 marks) (43 minutes) Please enter the answers directly on the Scantron Form in pencil. The following information needs to be entered on the form: name and member number (in the student number field). Note that each question is worth 1.5 marks. 1. The difference between variable costs and fixed costs is: a) variable costs per unit fluctuate and fixed costs per unit remain constant. b) variable costs per unit are fixed over the relevant range and fixed costs per unit are variable. c) total variable costs are variable over the relevant range and fixed in the long term, while fixed costs never change. d) variable costs per unit change in varying increments, while fixed costs per unit change in equal increments. e) total variable costs can be varied by management, while fixed costs are uncontrollable. 2. Which one of the following costs would be classified as a period cost? a) The wages of the workers on the shipping docks who load completed products onto outgoing trucks b) The wages of a worker paid for idle time resulting from a machine breakdown in the molding operation. c) The payments for employee (fringe) benefits paid on behalf of the workers in the manufacturing plant. d) The wages paid to workers for rework on defective products. 3. ABC Company prepared the following departmental overhead cost budget for 20x3 based on 10,000 machine hours: Variable overhead cost $20,000 Fixed overhead cost 40,000 Total $60,000 What would the estimated overhead rate have been if the budget had been based on 12,000 machine hours? a) $5.00 b) $5.33 c) $5.67 d) $6.00 e) None of the above Page 2 CMA Accelerated Program Sample Test 3 4. The cost accountant of the Kapp Company made the following entry for the month of June 20x7: Work in Process Manufacturing Overhead Raw Materials 50,000 2,000 52,000 Which of the following would be the most likely explanation of this entry? a) Direct materials costing $50,000 were charged to Work in Process and $2,000 of general manufacturing overhead was allocated to specific jobs in process during the month. b) Direct materials costing $50,000 were charged to Work in Process and $2,000 of indirect materials was charged to the account Manufacturing Overhead but was not allocated to specific jobs in process during the month. c) Direct materials costing $50,000 were charged to Work in Process and $2,000 of indirect materials was charged to the account Manufacturing Overhead and was thereby allocated to specific jobs in process during the month. d) Direct materials costing $50,000 were charged to Work in Process and $2,000 of costs relating to goods finished during the month were charged to Manufacturing Overhead. 5. Darrow Company uses a predetermined overhead rate based on direct labour hours to apply manufacturing overhead to jobs. Last year, the company worked 10,000 direct labour hours and incurred $80,000 of actual manufacturing overhead costs. If overhead was underapplied by $2,000, the predetermined overhead rate for the company must have been: a) $7.80 b) $8.00 c) $8.20 d) $8.40 Page 3 CMA Accelerated Program Sample Test 3 Use the following information to answer questions 6 – 7: Beta Company is making plans for the introduction of a new product that it will sell for $6 a unit. The following estimates have been made for manufacturing costs assuming 100,000 units will be produced in the first year: Direct materials Direct labor (20,000 hours x $6.00) $150,000 $120,000 Manufacturing overhead costs have not yet been estimated for the new product, but monthly data on the total production and overhead costs for the past 24 months have been analyzed using simple linear regression. The following results were derived from the simple regression and will provide the basis for overhead cost estimates for the new product. Simple Regression Analysis Results Dependent variable-Factory overhead costs Independent variable-Direct labor-hours Computed values: Intercept Coefficient of independent variable R2 $90,000 $2.10 .908 6. What percentage of variation in the overhead costs is explained by the independent variable? a) 86.5% b) 90.8% c) 95.3% d) 97.6% 7. What is the estimated total product cost per unit for the first year, assuming 100,000 units of the new product will be produced and sold? a) $5.70 b) $4.80 c) $4.02 d) $3.12 Page 4 CMA Accelerated Program Sample Test 3 8. A company increased the selling price for its product from $1.00 to $1.10 a unit when total fixed expenses increased from $400,000 to $480,000 and variable expense per unit remained unchanged. How would these changes affect the breakeven point? a) The break-even point in units would increase b) The break-even point in units would decrease c) The break-even point in units would remain unchanged d) The effect cannot be determined from the information given 9. A company has provided the following data: Sales Sales price Variable cost Fixed cost 3,000 units $70 per unit $50 per unit $25,000 If the dollar contribution margin per unit is increased by 10%, total fixed cost is decreased by 20%, and all other factors remain the same, net income will: a) increase by $61,000 b) increase by $20,000 c) increase by $3,500 d) increase by $11,000 10. ABC Company has a cash balance of $9,000 on April 1. The company must maintain a minimum cash balance of $6,000. During April expected cash receipts are $45,000. Expected cash disbursements during the month total $52,000. What amount will the company need to borrow during April? a) $2,000 b) $4,000 c) $6,000 d) $8,000 Page 5 CMA Accelerated Program Sample Test 3 11. Avril Company makes collections on sales according to the following schedule: 30% in the month of sale 60% in the month following sale 8% in the second month following sale The following sales are expected: January February March $100,000 120,000 110,000 What should be the budgeted cash collections in March? a) $105,000 b) $110,000 c) $110,800 d) $113,000 12. You have just won the lottery and will receive $ 1,500 per year forever. What is the present value of this infinite stream of cash flows given an 8% discount rate? a) $13,419.54 b) $ 3,721.60 c) $30,000.00 d) $21,428.57 e) $18,750.00 13. Your brother-in-law borrowed $1,000 from you 10 years ago and then disappeared. Yesterday he returned and expressed a desire to pay back the loan, including the interest accrued. Assuming that you had agreed to charge him 7%, and assuming that he wishes to make five equal annual payments beginning in one year, how much would your brother-in-law have to pay you annually in order to extinguish the debt? (Assume that the loan continues to accrue interest at 7% per year.) a) $480 b) $389 c) $301 d) $279 e) $101 Page 6 CMA Accelerated Program Sample Test 3 14. Killnum Corp. announces that the dividend starting next period will be $5.00 per share rather than the originally expected $2.50 per share. From then on, it is expected that dividends will resume the historical constant growth of 5% per year. What would you expect to happen to the price of their stock? Ignore any tax effects. a) The price will likely rise by less than 100% b) The price will likely double c) The price will likely fall d) The price will remain unchanged e) The price will likely rise and then fall since the dividend growth rate goes from 100% back down to 5% 15. By spreading our investment funds across a large number of risky assets, we can virtually eliminate the following type of risk. 16. I. II. III. IV. unsystematic market systematic nondiversifiable a) b) c) d) e) I only II only III only IV only II, III, and IV only Which of the following is a true statement? I. II. III. a) b) c) d) e) Page 7 The value of a perpetual bond will not change from one year to the next, unless market interest rates change. The value of a finite-lived bond currently selling at par will not change from one year to the next, unless market interest rates change. The value of a finite-lived bond currently selling at a discount from par will change from one year to the next, even if market interest rates remain unchanged. I only I and II only I and III only II and III only I, II, and III CMA Accelerated Program Sample Test 3 Question 2 – Short Answers (29 marks) (53 minutes) a. Jersey Company has a process costing system in which it uses the weighted average method. The equivalent units of production for conversion costs for the month were 47,500 units. The beginning inventory consisted of 15,000 units, 60% complete with respect to conversion costs. The ending inventory consisted of 10,000 units, 75% complete with respect to conversion costs. What is he number of units started and completed during the month? (3 marks) b. Hagler's Toupees has the following machine hours and production costs for the last six months of last year: Month July August September October November December Machine Hours 15,000 13,500 11,500 15,500 14,800 12,100 Production Cost $12,330 $10,300 $ 9,580 $12,080 $11,692 $ 9,922 If Hagler expects to incur 14,000 machine hours in January, what will be the total production cost estimate using the high-low method? (3 marks) Page 8 CMA Accelerated Program Sample Test 3 c. A company has identified the following overhead costs and cost drivers for the coming year. Overhead Item Cost Driver Budgeted Cost Machine setup Inspection Material handling Engineering No. of setups No. of inspections No. of material moves Engineering hours $ 20,000 130,000 80,000 50,000 $280,000 Budgeted Activity Level 200 6,500 8,000 1,000 The following information was collected on three jobs that were completed during the year. Direct materials Direct labor Units completed No. of setups No. of inspections No. of material moves Engineering hours Job 101 Job 102 Job 103 $5,000 $2,000 100 1 20 30 10 $12,000 $ 2,000 50 2 10 10 50 $8,000 $4,000 200 4 30 50 10 Budgeted direct labor cost was $100,000 and budgeted direct material cost was $280,000. i. If the company uses activity-based costing, how much overhead cost should be allocated to Job 101? (3 marks) ii. If the company uses activity-based costing, compute the cost of each unit of Job 102. (4 marks) iii. If the company uses one overhead cost pool and allocates overhead on the basis of direct labour dollars, compute the cost of each unit of Job 103. (3 marks) Page 9 CMA Accelerated Program Sample Test 3 d. Spivey Company has two service departments and two producing departments. Budgeted costs and budgeted activity in the various departments for 20x1 are shown below: Overhead costs Square metres of space occupied Number of employees Machine-hours Custodial Services Cafeteria Cutting Department Assembly Department $126,000 $70,000 $300,000 $500,000 1,000 2,000 8,000 10,000 20 30 150 200 40,000 60,000 Service Department costs are allocated to producing departments with the costs of Custodial Services allocated first on a basis of square metres of space occupied. The costs of the Cafeteria are then allocated on a basis of number of employees. Predetermined overhead rates in the Cutting and Assembly Departments are based on machine-hours. e. i. Assume that the company uses the direct method of allocation. What would the predetermined overhead rate for 20xl in the Assembly Department be? (3 marks) ii. Assume that the company uses the step method of allocation. Custodial services are allocated first. What would the amount of cost allocated from the cafeteria to the cutting department be? (3 marks) Superior Industries' sales budget shows quarterly sales for the next year as follows: Quarter First Second Third Fourth Sales (units) 10,000 8,000 12,000 14,000 Company policy is to have a finished goods inventory at the end of each quarter equal to 20% of the next quarter's sales. What should be the budgeted production for the second quarter? (3 marks) f. The dividend on Soviet Motors common stock will be $6 in 1 year, $6.50 in 2 years, and $6.68 in 3 years. Afterwards the dividend will grow at the modest rate of 1%. Assuming you require a 10% return on your investment, how much would you be willing to pay for a share of this stock? (4 marks) Page 10 CMA Accelerated Program Sample Test 3 Question 3 (8 marks) (18 minutes) Air Extracts, Inc., manufactures nitrogen, oxygen, and hydrogen from a joint process. Each gas can be liquified and sold for more. Data on the process are as follows: Units produced Joint costs Sales value at split-off Additional costs to liquify Sales value if liquified a Nitrogen 8,000 $30,000a (c) 7,000 70,000 Oxygen 4,000 (a) (d) $ 5,000 30,000 Hydrogen 2,000 (b) $15,000 3,000 20,000 Total 14,000 $ 60,000 100,000 15,000 120,000 This amount is the portion of the total joint cost of $60,000 that had been allocated to nitrogen. Required a) b) Which method was used to allocate the joint costs. Restrict your choices to the following three methods: (i) physical units, (ii) sales value at split off and (iii) net realizable value. Explain your choice. Determine the values for the lettered spaces. Show your calculations. Question 4 (9 marks) (16 minutes) The Colbert Company’s capital structure at December 31, 20x4 is as follows: $30,000,000 Bonds Payable, 6%, maturing on December 31, 20x18. Interest is paid semi-annually. 100,000 Preferred shares, par value $100 each, 5%. 1,000,000 Common Shares. The bonds are currently yielding 6.8%. The market price of the preferred and common shares is $62.50 and $32 respectively. The firm’s beta is 1.5, the risk free rate is 2% and the expected market rate of return is 14%. The tax rate is 40%. Required – Calculate the Colbert Company’s weighted average cost of capital Page 11 CMA Accelerated Program Sample Test 3 Question 5 (10 marks) (18 minutes) Lee Company manufactures chemical additives for industrial applications. As the new cost accountant for Lee, you have been assigned the task of completing the production cost report for the most recent period. Lee uses the FIFO method of process costing. The following information pertains to the most recent period: Beginning WIP inventory: 75% complete as to materials 70% complete as to conversion costs 16,000 units Units started into production this period: 27,000 units Ending WIP inventory: 60% complete as to materials 50% complete as to conversion costs 10,000 units Costs in beginning inventory: $32,000 materials; $64,000 conversion costs Current period costs: $252,000 materials; $440,000 conversion costs There was no spoilage during the period. Required a. b. Page 12 What is the total cost of units completed during the period. (Round the cost per equivalent unit to 4 decimal places; round the total costs to the nearest dollar.) Calculate the cost of ending work-in-process. CMA Accelerated Program Sample Test 3 Question 6 (10 marks) (18 minutes) Last night, the sprinkler system at Plant A was accidentally set off. The ensuing deluge destroyed most of the cost records in Plant A for the month just completed (May). The plant manager has come to you in a panic - she has to complete his report for head office by the end of today. She wants you to give her the numbers she needs for her report. She can provide you with some fragments of information she has been able to salvage: Beg Direct Materials 25,000 Beg Work in Process 15,000 Finished Goods 400,000 End 55,000 End Cost of Goods Sold Beg Manufacturing Overhead 0 Transferred Out 50,000 Wages Payable 10,000 Beg 20,000 End Other information: • • • • • • total direct materials requisitions for the month were $180,000 a total of 10,000 direct-labour hours were worked during the month at an average wage of $15 per hour overhead is applied to production at $10 per direct labour hour on May 31, there was 1 job, #XL235, left in Work in Process. It included $4,000 of direct materials and had received 20 direct labour hours to date (it started on May 30). actual manufacturing overhead expenses for May were 95,000 there are no indirect materials or indirect labour charges in the month of May Required a. b. c. d. e. f. g. Page 13 Material purchases during May. Cost of work in process inventory at the end of May. Amount paid for direct labour force in May. Cost of goods sold for May. Over/under applied overhead in May Cost of goods transferred from Work in Process to Finished Goods in May. Cost of finished goods inventory at the beginning of May. CMA Accelerated Program Sample Test 3 Question 7 (10 marks) (18 minutes) Auflager Company produces a single product. The projected income statement for the coming year is as follows: Sales (50,000 units @ $40) Less: Variable costs Contribution margin Less: Fixed costs Operating income $2,000,000 1,100,000 900,000 765,000 $ 135,000 Required a. b. c. d. e. f. Page 14 Compute the unit contribution margin and the units that must be sold to break even. Suppose that 30,000 units are sold above break-even. What is the profit? Compute the contribution margin ratio and the break-even point in dollars. Suppose that revenues are $200,000 greater than expected. What would the total profit be? Compute the margin of safety. Compute the operating leverage. Compute the new profit level if sales are 20 percent higher than expected. How many units must be sold to earn a profit equal to 10 percent of sales? Assume the tax rate is 40 percent. How many units must be sold to earn an aftertax profit of $180,000? CMA Accelerated Program Supplement of Formulae and Tables Formulae 1. CAPITAL STRUCTURE a) After-Tax Marginal Cost of Debt: (1 ! T ) I k b = k (1 ! T ) or F where k = interest rate T = corporate tax rate I = annual interest payment on debt F = face value of debt b) Cost of Preferred Shares: kp = where c) Dp NPp Dp = stated annual dividend payment on shares NPp = net proceeds on preferred share issue Cost of Common Equity: i) Cost of Common Shares (Capitalization of Dividends with Constant Growth Rate): ke = D1 +g NPe where ii) D1 = dividend expected for period 1 NPe = net proceeds on common share issue g = annual long-term dividend growth rate Cost of Retained Earnings: k re = re = D1 +g Pe where = market price of a share = expected return on common equity Pe re iii) Capital Asset Pricing Model: ( R j = R f + " j Rm ! R f where ) Rj = expected rate of return on security j Rf = risk-free rate Rm = expected return for the market portfolio ! j = beta coefficient for security j (measure of systematic risk) d) Weighted Average Cost of Capital: ! B$ ! P$ ! E$ k = # & kb + # & k p + # & ke "V% "V% "V% where 2. a) B P E V PRESENT VALUE OF TAX SHIELD FOR AMORTIZABLE ASSETS Present Value of Total Tax Shield from CCA for a New Asset Present Value = b) = amount of debt outstanding = amount of preferred shares outstanding = amount of common equity outstanding = B + P + E = total value of firm CdT ! 2 + k $ CdT ! 1 + 0.5k $ # & # &= d + k " 2(1 + k ) % d + k " 1 + k % Present Value of Total Tax Shield from CCA for an Asset that is Not Newly Acquired ! dT $ Present Value = UCC# & " d +k% c) Present Value of Total Tax Shield Lost From Salvage Present Value = Sn n (1+ k ) Sn ! dT $ ! dT $ , depending on cashflow assumptions # & or n '1 #" d + k &% " d +k% (1+ k ) Notation for above formulae: C = net initial investment UCC = undepreciated capital cost of asset Sn = salvage value of asset realized at end of year n T = corporate tax rate k = discount rate or time value of money d = maximum rate of capital cost allowance n = total life of investment Sample Test 3 Test 3 SOLUTION Question 1 1. b 2. a A is a period cost since these workers are handling a product that is completely manufactured, i.e. they have nothing to do with the manufacturing of the product. B, C and D all relate to product costs for costs involved in the manufacture of the product, either directly or indirectly. 3. b Total overhead rate = Variable overhead rate + fixed overhead rate = (20,000 ÷ 10,000) + (40,000 ÷ 12,000) = 2.00 + 3.33 = $5.33 4. b 5. a 6. b 7. c Direct materials: $150,000 / 100,000 Direct labour: $120,000 / 100,000 Fixed overhead: $90,000 / 100,000 Variable overhead: $2.10 x .2 hours 8. d We would need to know the variable cost per unit. 9. d Increase in TCM: 3,000 x $20 x 10% Decrease in fixed costs: $25,000 x 20% 10. b 9,000 + 45,000 - 52,000 - 6,000 = 4,000 11. d (100,000 x 8%) + (120,000 x 60%) + (110,000 x 30%) = 113,000 12. e $1,500 / .08 = $18,750 13. a Today he owes you: N = 10, I = 7, PV = 1000, Solve for FV = $1,967.15 Payments: N = 5, I = 7, PV = 1967.15, Solve for PMT = $480 Page 15 Applied overhead = $80,000 - 2,000 = $78,000 POR = $78,000 / 10,000 = $7.80 1.50 1.20 0.90 0.42 $4.02 $6,000 5,000 $11,000 CMA Accelerated Program Sample Test 3 14. b 15. a 16. e Assume that the rate of return (Ke) is 10%. The price of the stock before = $2.50 / (0.10 - 0.05) = $50; the price after will be $5.00 / (0.10 - 0.05) = 100. The price doubles. Question 2 a. Units transferred out = 47,500 - (10,000 x 75%) = 40,000 Units started = 40,000 - 15,000 Op WIP = 25,000 b. Variable cost = (12,080 - 9,580) ÷ 4,000 = $0.625 Fixed cost = 12,080 - (15,500 x 0.625) = 2,392.50 2,392.50 + (14,000 x 0.625) = $11,142.50 c. i. Machine setup: $20,000 / 200 = $100 per setup $100 x 1 Inspection: $130,000 / 6,500 = $20 per inspection $20 x 20 Material Handling: $80,000 / 8,000 = $10 per move $10 x 30 Engineering: $50,000 / 1,000 = $50 per hour $50 x 10 ii. Direct Materials Direct labour Machine setups: $100 x 2 Inspection: $20 x 10 Material handling: $10 x 10 Engineering: $50 x 50 iii. Direct Materials Direct Labour Overhead: 2.8 x 4,000 Page 16 $100 400 300 500 $1,300 $12,000 2,000 200 200 100 2,500 17,000 ÷ 50 units $340 $8,000 4,000 11,200 23,200 ÷ 200 units $116 CMA Accelerated Program Sample Test 3 d. i. Assembly dept overhead costs Allocation from Custodial: $126,000 x 10/18 Allocation from Cafeteria: $70,000 x 200/350 ii. Custodial: $126,000 x 2/20 $500,000 70,000 40,000 $610,000 ÷ 60,000 MH $10.17 Cafeteria 70,000 12,600 82,600 Cafeteria:$82,600 x 150/350 $35,400 e. Sales Desired ending inventory: 12,000 x 20% Less opening inventory: 8,000 x 20% f. P3 = D3(1+g) / (r-g) = 6.68(1.01) / (.10 - .01) = 74.96 PV of D1: N = 1, I = 10, FV = 6, Solve for PV = $5.45 PV of D2: N = 2, I = 10, FV = 6.50, Solve for PV = $5.37 PV of D3: N = 3, I = 10, FV = 6.68, Solve for PV = $5.02 PV of P3: N = 3, I = 10, FV = 74.96, Solve for PV = $56.32 Sum of PV’s = $72.16 Page 17 Cutting 8,000 2,400 -1,600 8,800 CMA Accelerated Program Sample Test 3 Question 3 a) b) Which method was used to allocate the joint costs? • not physical units since Nitrogen does not represent 50% of the units produced • not NRV since Nitrogen’s NRV = 63,000 ÷ Total NRV of 105,000 ≠ 50% • sales value at split off is the only remaining possibility c-> d-> a-> b-> $100,000 x 50% = $50,000 $100,000 - 50,000 - 15,000 = $35,000 $60,000 x 35% = $21,000 $60,000 x 15% = $9,000 Question 4 Bonds N = 28 I = 3.4 CPT PV = 27,854,560 PMT = 900,000 FV = 30,000,000 KD = 6.8(.6) = 4.08% Preferreds P = 100,000 x $62.50 = $6,250,000 KP = 5 / 62.50 = 8% Common E = 1,000,000 x $32 = $32,000,000 KE = 2 + 1.5(14-2) = 20% WACC = (27,855 / 66,105)*4.08 + (6,250 / 66,105)*8% + (32,000 / 66,105)*20% = 12.2% Page 18 CMA Accelerated Program Sample Test 3 Question 5 a. Units transferred out: 16,000 + 27,000 - 10,000 = 33,000 Calculation of Equivalent Units: Materials EU to complete opening WIP: 16,000 x 25% 16,000 x 30% Units started and completed 33,000 - 16,000 EU in ending WIP: 10,000 x 60% 10,000 x 50% Conversion Costs 4,000 4,800 17,000 17,000 6,000 27,000 5,000 26,800 Unit costs: Materials: $252,000 / 27,000 = $9.3333 Conversion costs = $440,000 / 26,800 = $16.4179 Total cost = $9.3333 + $16.4179 = $25.7512 Cost of units transferred out: Costs in opening WIP Costs to complete opening WIP Materials: 4,000 x $9.3333 Conversion costs: 4,800 x $16.4179 Cost of units started and completed 17,000 x $25.7512 b. $37,333 78,806 116,139 212,139 437,770 $649,909 $96,000 Op WIP + 692,000 Costs Added - 649,909 Cost of units transferred out = $138,091 OR: Page 19 $96,000 Materials: 6,000 x 9.3333 Conversion costs: 5,000 x 16.4179 $56,000 82,090 $138,090 CMA Accelerated Program Sample Test 3 Question 6 a. 180,000 Requisitions - 25,000 Op Inv + 55,000 End Inv = $210,000 b. Job #XL235: Direct materials Direct labour: 20 hours x $15 Overhead: 20 hours x $10 $4,000 300 200 $4,500 c. 10,000 Wages Pay Beg + 150,000 Direct Labour - 20,000 Wages Pay end = $140,000 d. $400,000 Amount transferred out of finished goods inventory e. Actual overhead incurred Applied overhead: 10,000 direct labour hours x $10 Overapplied overhead f. Beginning WIP Direct materials Direct labour Manufacturing overhead applied Less ending WIP g. $400,000 Transferred out - 440,500 Transferred in + 50,000 End inv = 9,500 Page 20 $95,000 100,000 $5,000 $15,000 180,000 150,000 100,000 -4,500 $440,500 CMA Accelerated Program Sample Test 3 Question 7 a. CM = $900,000 ÷ 50,000 units = $18 per unit Breakeven point = $765,000 / 18 = 42,500 units Operating income at 30,000 units above breakeven: 30,000(18) = $540,000 b. CM Ratio = $18/40 = 45% Breakeven point in $ = $765,000 / .45 = $1,700,000 Total profit if revenues are $200,000 greater than expected: $135,000 + (200,000 x .45) = $225,000 c. Margin of safety = $2,000,000 - 1,700,000 = $300,000 d. DOL = CM / Operating Income = $900,000 / 135,000 = 6.667 If Sales increase 20%, operating income will increase 20%(6.667) = 133.333% New operating income = $135,000 (2.3333333) = $315,000 e. Let x = number of units 18x - 765,000 = 40x(.10) 14x = 765,000 x = 54,643 units f. (180,000/.6 + 765,000) / 18 = 59,168 unit Page 21 CMA Accelerated Program