Copyright reserved Faculty of Economic and Management Sciences Department of Financial Management Financial Management 200 (FBS 200) Date: 18 November 2011 Total marks: 120 Marks Duration: 180 Minutes Date of perusal: Monday 29 November 2011 [09h00 – 11h00] HSB 3 - 23 Internal examiners: Mr F Blom Mr FJ de Hart Ms L Erasmus External examiner: Ms Y Erasmus Instructions: Answer all the questions. The question paper consists of 11 pages (excluding the cover page). You are not allowed to bring any teaching materials or notes into the examination venue. You are allowed to do your rough work on the examination paper and may take the paper with you when you leave the venue at the end of the examination session. SUGGESTED SOLUTION Important information 1. The results of examinations and supplementary examinations for first year students only will be displayed on the notice-boards next to the Human Sciences Building. The results for first, second and third year, as well as postgraduate students will be available on the MTN line and Students Online (SOS). Results will be mailed as soon as possible to candidates after the examination period. Results will be available at telephone nr. 083 123 1111, as well as on the Intranet address: http://www.up.ac.za, students online. LECTURERS AND ADMINISTRATIVE STAFF WILL NOT GIVE CANDIDATES THEIR RESULTS PERSONALLY OR PER TELEPHONE. 2. Supplementary examinations are not granted automatically, but are subjected to current Departmental policy. 3. The FBS200 supplementary examination will take place on 1 December 2011 from 15:30 – 18:30 in HSB 4-2. Timetables to determine the date, time and place of supplementary examinations are available on: 3.1 Notice boards at the main entrance to the Merensky Library; 3.2 Students Online (SOS); 3.3 MTN telephone nr. 083 123 1111. 4. The regulations concerning multiple choice examination papers are brought to your attention. SUGGESTED SOLUTION 1 29 MARKS a) i) Raw materials may be valued at actual cost or at standard cost ii) Closing inventory Raw Materials valued at ....... Profit before raw materials Purchases (450-440)kg = 10kg x (R1440/.450) ; (1 000g x R3) Closing inventory Actual loss Actual R1 362 642 R1 362 642 (1 440 000) (1 440 000) 32 000 30 000 (45 358) (47 358) 80 000 u – 78 000 u (R542 400 + 520 000)/ 80 000 2 000 u x R13.28 = b) i) Variance in volumes (units) Standard contribution per unit Volume variance - Adverse Standard 2 000 u R13.28 R26 560 ii) The volume variance represents the difference between planned sales volumes (units) and actual sales volumes (in units). For each of these units (in this instance 2 000 units) a contribution of R13.28 will not have been realised (hence adverse variance). The actual profits therefore cannot be compared to the planned profits (cannot compare apples with pears), but rather against the standard profit i.e. the profit that would have been planned for if the plan at the start of the year was for the actual units. The planned profit (R542 400) should therefore be adjusted downwards (in this case) with the variance of R26 560, before a meaningful reconciliation of profits can be done. R3 000 000 x 78/80 – R2 730 000 = (440kg x R3 000) - 78/80 x R1 200 000 = R224 016 – (78 000x R12.50 x 0.2ure) = 78/80 x R180 000 – R195 000 = R60 528 – (12 000u x R4.80) = 78/80 x R57 600 – R57 600 = R552 414 – R520 000 = c) i) ii) iii) iv) v) vi) vii) Sales price variance Raw material usage variance Direct labour rate variance Direct labour efficiency variance Variable overhead expenditure Variable overhead efficiency Fixed overhead expenditure d) i) Any valid reason explaining a lower than planned selling price eg. discount sales, drop in demand leading to reduction of selling prices or special orders placed at reduced prices etc, ii) Suppliers that granted discounts, errors on invoices in favour of Take It To Task, bulk purchases at reduced/discounted prices etc iii) Unforeseen increases, inflation, incorrect suppliers etc that may have lead to higher costs. iv) Packaging was damaged, errors made in packing etc which led to more packaging required for the dummies produced. 1 R195 000 R150 000 R29 016 R19 500 R2 928 R1 440 R32 414 (A) (A) (A) (A) (A) (A) (A) SUGGESTED SOLUTION 2: 22 MARKS 1. C Cost driver 14,000.00 6,000.00 20,000.00 Product B Product J 2 C Cumulative average for first 4 units Cumulative average for first 2 units Cumulative average for first unit (and time) 3 D Cumulative average for first 8 units Cumulative average for first 16 units Total time for first 16 units Time for first 4 units Time for order of 12 units 4 D All the statements are correct 5 D NPV of project 2 is R49 947 Joint cost 28,000.00 12,000.00 40,000.00 3 240 / 4 = 810 / 0.9 = 900 / 0.9 = 810 minutes 900 minutes 1 000 minutes 810 x 0.9 = 729 minutes 729 x 0.9 = 656.1 minutes 656.1 x 16 = 10 497.6 minutes = (3 240) minutes = 7 257.6 minutes Annual equivalent is R22 972 (PV (NPV) = R49 947, i = 18%, n = 3, FV = 0) 6. A Clock hours 40 : : Productive hours 35 0.5 : : : Units 350 5 Rate per productive hour: Clock hours : Productive hours 1 : 0.875 R 34.30 per clock hour = R 34.30 per 0.875 productive hours = R 39.20 per productive hour Rate per unit R 39.20 per productive hour x 35 productive hours 350 units = R 3.92 per unit 7 A Sales Variable costs Fixed costs Profit = 75 000 x 8 = R185 000 + R75 000 = 2 R1 080 000 (600 000) (260 000) R220 000 8 D Profit per variable Add: Fixed costs in inventory Profit per absorption basis (80 000–75 000) x R2.40 = R220 000 12 000 R232 000 Sales Production costs 80 000 x (2.4 + 8) = Closing stock 5 000 x R10.40 = Over-recovery–fixed overheadsR185 000–(80 000 x R2.40) = Less non-production fixed costs Profit for the year R1 080 000 (832 000) 52 000 7 000 (75 000) R232 000 OR 9. A 10 D INCREASE 4 ℓ : 5ℓ LOSS 5% 50% 100% 0% Before loss: 5 700 ℓ ÷ (1 – 0.05) = 6 000 ℓ Before increase: 4ℓ : 5ℓ 4 800 ℓ : 6 000 ℓ 11 C Total Maintenance Stores Maintenance: Stores: Production Department 1 262 500 0.6M 0.75S Production Department 2 491 250 0.3M 0.2S 94 500 – 1M + 0.05S = 0 126 750 + 0.1M – 1S = 0 94 500 – 1M + 0.05 (126 750 + 0.1M) = 0 94 500 – 1M + 6337.5 + 0.005M = 0 88 162.5 = 0.995M 3 Maintenance Stores 94 500 (1M) 0.05S 0 126 750 0.1M (1S) 0 M = 101 344.22 S = 136 884.42211055276381909547738694 Total Maintenance Stores Production Department 1 262 500.00 60 806.53 102 663.32 425 969.85 Production Department 2 491 250.00 30 403.27 27 376.88 549 030.15 Maintenance Stores 94 500 (101 344.22) 6 844.22 0 126 750 10 134.42 (136 884.42) 0 A mere observation of the options would also have made it CLEAR that option C is correct! Department 2 before any allocations already has total costs of R491 250, leaving only B and C as potential options! Then 30% of Maintenance (R94 500) and 20% of Stores (R126 750) must be assigned to Department 2. Clearly the answer is C. 4 5 SUGGESTED SOLUTION 3: 34 MARKS A suggestion is to determine the period for the last six months as follows: Sales Raw materials Labour Overheads Administration Selling expenses Net profit Taxation (28%) Net profit after tax First six months For the first year Rands 2 250 000 720 000 525 000 348 000 96 000 67 500 493 500 (138 180) 355 320 Rands 4 950 000 1 692 000 1 155 000 744 000 192 000 172 500 994 500 (278 460) 716 040 a) Calculation (‘000) Total costs Cost per unit Budget volumes (to nearest 1 000) Units in 1st six months Total units per six month period 2250-493.5; 4950 – 994.5 Sales units per month (÷ 6) = iii) b) Increase in sales volume (2 700/2 250 – 1) or (6 000/5 000 -1) (R1 692 – 720)’000 = = Data for last 6 months Rands 2 700 000 972 000 630 000 396 000 96 000 105 000 501 000 (140 280) 360 720 (i) First six months (ii) Last six months R1 756 500 R58.55 30 000 30 000 R3 955 500 R59.93 66 000 (30 000) 36 000 5 000 6 000 20% i) Total raw material cost Number of units Cost per unit R972 000 36 000 R27.00 ii) Total labour cost for 30 000 units = Total labour cost for 36 000 units = i.e. cost in total changed R525 000 R630 000 Labour cost per unit 30 000 units = Total labour cost for 36 000 units = i.e. cost in per unit remained fixed R17.50 R17.50 Labour cost meets the definition of a variable cost as it remains fixed per unit but changes in total. 6 iii) Total costs for Total costs for 36 000 units = 30 000 units = 6 000 units = R396 000 R348 000 R48 000 Variable portion per unit R48 000 / 6 000 units = Total fixed R396 000 – (36 000 x R8) = Fixed per month ÷6= c) Selling price Raw materials Labour Overheads Administration Selling expenses R8.00 R108 000 R18 000 Calculation Contribution per unit Fixed R2 250 000 / 30 000 = R720 000 / 30 000 = R75.00 (24.00)* (17.50) (8.00) (1.25) 24.25 R216 000 192 000 90 000 R498 000 12 x R18 000 = See note 1 See calc 1 Break-even (R498 000 ÷ R24.25) = @ 5 000 per month Will break-even in month 5 20 536 units *The raw material cost is R27 from month 7 onwards and contribution per unit will be R21.25. Note 1: The administration costs remain fixed in total (R96 000 per period of six months) and therefore would have reduced per unit (36 000 u vs 30 000 u). Administration costs are fixed Calc 1: Total costs for Total costs for 36 000 units = 30 000 units = 6 000 units = Variable portion per unit Total fixed (stepped) d) R105 000 – (2 x 5 000)6 = R67 500 – (1 x 5 000)6 = R45 000 R37 500 R7 500 R7 500 / 6 000 units = R5 000 x 6 + R10 000 x 6 = R1.25 R90 000 Monthly sales volumes if accept 6 000u x 1.3333 = First six months, extra 8 000 – 5 000 = Last six months and thereafter, extra 8 000 – 6 000 = 8 000 units 3 000 units 2 000 units Incremental cash-flows: Year 1 First six months: 3 000 x 6 x R24.25 = Last six months 2 000 x 6 x R21.25 = Total for year 1 Additional selling costs (2nd person – for 1st six months) 6 x R5 000 = 7 R436 500 R255 000 R691 500 (30 000) R661 500 Years 2 and 3 Incremental revenue cash-flow per annum Cash-flows after tax: Year 1 Years 2 and 3 e) 2 000 x 12 x 21.25 = R510 000 R661 500 x 0.72 = R510 000 x 0.72 = R476 280 R367 200 Cf0 = Cf1 = Cf2 = Cf3 = Rnil R476 280 R367 200 R367 200 i= 18% NPV = R890 833.70 The maximum fee that Relkap should consider is R890 834. 8 9 SUGGESTED SOLUTION 4: 35 MARKS PART A (19 marks) 1. (i) Traditional (blanket-wide) approach Cost driver Total LH 18 000.00 42 000.00 60 000.00 Frying pans Casserole pots Budgeted FOH 1 077 000.00 2 513 000.00 3 590 000.00 Units produced 12 000.00 20 000.00 Budgeted recovery rate per unit 89.75 125.65 Units produced 12 000.00 20 000.00 Budgeted recovery rate per unit 40.00 62.50 Units produced 12 000.00 20 000.00 Budgeted recovery rate per unit 20.00 50.00 Units produced 12 000.00 20 000.00 Budgeted recovery rate per unit 5.00 4.00 1. (ii) Activity based costing approach Purchases Cost driver Orders Budgeted FOH 48.00 480 000.00 125.00 1 250 000.00 173.00 1 730 000.00 Frying pans Casserole pots Melting Cost driver Batches Budgeted FOH 24.00 240 000.00 100.00 1 000 000.00 124.00 1 240 000.00 Frying pans Casserole pots Moulding Cost driver Frying pans Casserole pots Moulds Budgeted FOH 600.00 60 000.00 800.00 80 000.00 1 400.00 140 000.00 Quality control and packaging Total cost Frying pan Allocated to casserole pots Per casserole pot ABC cost per unit R10 x 12 000 = R480 000 (120 000) R360 000 R360 000 / 20 000 = R18.00 Frying pan Casserole pot 10 R40 + 20 + 5 + 10 = R62.50+ 50 + 4 + 18= R75.00 R134.50 2. Explanation Traditional: ABC: Budgeted fixed production overhead recovery rate per unit: Frying pans Casserole pots Recovery rate 89.75 125.65 89.75 125.65 Budgeted fixed production overhead recovery rate per unit: Frying pans Casserole pots Purchases 40.00 62.50 Melting 20.00 50.00 Moulding 5.00 4.00 Inspection & packaging 10.00 18.00 Recovery rate 75.00 134.50 Explanation: Frying pans Under the traditional approach, some of the production cost incurred in respect of casserole pots are allocated to frying pans; causing the frying pans to bear (carry) production costs not incurred by it ('cross subsidisation'). The ABC approach corrects this problem by only including in the frying pan's recovery rate, only production costs incurred in respect of frying pans (not that of the casserole pots as well). Casserole pots Under the traditional approach, some of the production cost incurred in respect of casserole pots are allocated to frying pans; causing less production cost to be borne (carried) by the casserole pots. The ABC approach corrects this problem by including all production costs incurred in respect of the casserole pots into the casserole pot's recovery rate. 11 PART B (16 marks) 2000 6000 -100 1900 6000 12000 -600 11400 5% normal loss 0% RM: Nuts a) 10% 40% RM: Salt water OH: Spraying Outputs Closing inventory Completed production Normal loss (5%) at 80% stage TOTAL OUTPUTS Inputs Introduced Hence, opening inventory 50% 70% OH: Roasting =(13 300/0.95) – 13 300 80% 100% OH: Quality inspection RM: Packets OH: Packaging 6 000 kg 13 300 kg 700 kg 20 000 kg 20 000 Kg 18 000 Kg 2 000 kg 1 c) Equivalent units table Normal loss (S&C) Started & Completed WIP (closing) Normal loss (WIP B) WIP (Opening) Outputs 600 11 400 6 000 100 1 900 20 000 Proceeds - n/loss Cost per equivalent kg = Macadamia nuts 600 11 400 6 000 Water solution 600 11 400 4 000 18 000 2 880 000 -2 100 2 877 900 16 000 140 000 R159.8833 2 Packages 11 400 Spraying 600 11 400 4 000 1 900 13 300 16 000 26 600 70 000 Roasting Inspection Packaging 600 600 11 400 11 400 11 400 100 1 900 14 000 325 000 100 1 900 14 000 56 000 1 900 13 300 53 200