Financial Management 2B Take Home Exam Question 1 Cumulative production 2 4 8 16 Total Production Time 2 𝑥 4 𝑥 0.81 = 6.4 4 𝑥 4 𝑥 0.82 = 10.24 8 𝑥 4 𝑥 0.83 = 16.384 16 𝑥 4 𝑥 0.84 = 26.2144 Total labour cost (R) 192 307.2 491.52 786.432 Aver labour per unit 96 76.8 61.44 49.152 Average cost for four sets 30 x 76.8 = R2304 Average cost for sixteen sets 30 x 49.152 = R1474.56 Question 2 Question 3 1. EV = [(Pr1 x Value1) + (Pr2 x Value2)+….+(Prn x Valuen)] Project A Project B Project C EV = (0.2 x 450000) + (0.5 x 550000) + (0.3 x 650000) EV = R560 000 EV = (0.2 x 350000) + (0.5 x 400000) + (0.3 x 450000) EV = R405 000 EV = (0.2 x 550000) + (0.5 x 500000) + (0.3 x 700000) EV = R570 000 2. Discovery Foschini Group Famous Brands Year 1 8 - 0= 0 0.8 – 0.7= 0.1 0.8 – 0.4 = 0.4 Year 2 0.75 - 0.2= 0.55 0.75 – 0 = 0 0.75 – 0.15= 0.6 Year 3 0.75 - 0.1= 0.65 0.75 – 0.55 = 0.2 0.75 – 0 = 0 Max Regret 0.65 0.2 0.6 Therefor the stock that will minimize the maximum regret is the Foschini Group Ltd. Question 4 1. Labour hours required per unit Sales volume Labour hours C2 General Body wash 0.2 Shampoo 0.5 Conditioner 0.4 25 000 5000 15 000 7500 10 000 4000 Total 16 500 Available direct labour capacity Budget exceeds available capacity 16 000 500 2. Variable Cost (p/u) Selling price (R) Contribution margin (p/u) Ranking order Body Wash (2.5 + 3 + 1) = 6.5 Conditioner (3.5 +5 +1.5) = 10 15 8.5 Shampoo (6.5 + 6 + 2) = 14.5 25 10.5 1 3 2 20 10 3. Body wash Conditioner Shampoo Labour Hours used 5 000 4 000 7 000 16 000 Labour hours available 11 000 7 000 0 # Units 25 000 10 000 14 000 R Contribution Body Wash Conditioner Shampoo R 156 000 (5000 x 8.5) = 42 500 (4000 x 10) = 40 000 (7000 x 10.5) = 73 500 Question 5 C2 General 5.1.1 = (AC x AQ issued) – (SC x AQ issued) = (95 x 11 000) – (100 x 11 000) = 55 000 (U) Reason is because of inefficiency of purchasing department and better quality material purchased. 5.1.2 = (AQ -SQ) SC = (11 000 – (520 x 20)) x 100 = 60 000 (U) Reason is because of machine breakdowns or poor supervision. 5.1.3 = (AQ x AC) – (SQ x SC) = (11 000 x 95) – (10 400 x 100) = 5000 5.1.4 = (AR – SR)AT = (55 – 50) x 2700 = 13 500 (U) Reason is because of incorrect standards (standards were set too high) also because of unexpected wage increases. 5.1.5 = (AT – ST)SR = (2700 – (520 x 5)) x 50 = (2700 – 2600) x 50 = 5000 (U) Reason is because the use of poor quality materials as well as strikes and labour disputes. 5.2) Question 6 Annuity Depreciation Year Annual Repayment 0 1 2 3 0 R416 078.11 R416 078.11 R416 078.11 Interest on Capital 0 R142 500 R101 463.28 R54 271.06 Capital Repayment 0 R273 578.11 R314 614.83 R361 861.05 Outstanding Capital R950 000 R676 421.89 R361 801.06 NIL Calculations for interest on capital R950 000 X 0.15 = R142 500 R676 421.89 X 0.15 = R314 614.83 R361 801.06 X 0.15 = -53.99 (NIL) Investment at the start Net Cash Flow Less Depreciation Net Profit Capital employed at the start of the year Working capital Residual Income ROCE Year 1 R 950 000 Year 2 R 676 421.89 Year 3 R 361 801.06 R 1 500 000 R 1 500 000 R 1 500 000 R 273 578.11 R 314 614.83 R 361 801.06 R 1 226 421.89 (R142 500) R 1 185 385.17 (R101 463.28) R 1 138 198.94 (R54 271.06) (R 83 333.33) (R 83 333.33) (R 83 333.33) R 1 000 588.56 R 1 000 588.56 R 1 000 593.65 860.65% 1168.29% 2097.25% Calculations for Working Capital R 250 000/3 = 83 333.33 ROCE Calculations Net profit / Capital Employed C2 General