Question 2 Answer: Maximum marks a. The expected total direct labour hours during the period are computed as follows: Product Caramel: 400 units × 0.7 hours per unit 280 hours Product Delight: 1,200 units × 1.2 hours per unit 1,440 hours Total direct labour hours 1,720 hours 2 Using these hours as a base, the predetermined overhead using direct labor hours would be: Estimated overhead cost, £130,890 ÷ Estimated direct labour hours, 1,720 = £76.10/DLH 2 Using this overhead rate, the unit product costs are: Product Caramel Product Delight £ 10.70 £ 16.70 Direct labour 11.20 19.20 Manufacturing overhead 53.27 91.32 Direct materials Total unit product cost £ 75.17 £127.22 3 marks b. The overhead rates for each activity cost pool are as follows: Machine setups ............ Purchase orders ........... General factory ............ Estimated Overhead Expected Overhead Costs Activity Rate £13,570 230 £59.00 £91,520 2,080 £44.00 £25,800 1,720 £15.00 The overhead cost charged to each product is: 3 marks Machine setups ............ Purchase orders ........... General factory ............ Total overhead cost ..... Product Caramel Product Delight Activity Amount Activity Amount 100 £ 5,900 130 £ 7,670 810 35,640 1,270 55,880 280 4,200 1,440 21,600 £45,740 £85,150 4 marks Overhead cost per unit: Product C: £45,740 ÷ 400 units = £114.35 per unit Product D: £85,150 ÷ 1,200 units = £70.96 per unit 2 marks Using activity based costing, the unit product cost of each product would be: Direct materials Direct labor Product Caramel Product Delight £10.70 £ 16.70 11.20 19.20 114.35 70.96 £136.25 £106.86 Manufacturing overhead Total unit product cost 4 marks Total 20 marks Question 3 Answer: a. Maximum marks 1. Capital-intensive: Break-even in units = Fixed expenses ÷ Unit contribution margin = (£2,440,000 + £500,000) ÷ (£30 - £14 – £2) = £2,940,000 ÷ £14 per unit = 210,000 units 2 2. Labour-intensive: Break-even in units = Fixed expenses ÷ Unit contribution margin = (£1,320,000 + £500,000) ÷ (£30 – £17.60 – £2) = £1,820,000 ÷ £10.40 per unit = 175,000 units 2 Profit = Sales - Variable expenses - Fixed expenses Capital-intensive: Profit = £30Q – £16Q – £2,940,000 = £14Q – £2,940,000 2 Labour-intensive: Profit = £30Q – £19.60Q – £1,820,000 = £10.40Q – £1,820,000 2 The profits are equal when: £14Q – £2,940,000 = £10.40Q – £1,820,000 c £3.60Q = £1,120,000 Q = £1,120,000 ÷ £3.60 Q = 311,111 3 Maximum marks . 1. Capital-intensive: Sales (250,000 × £30) £7,500,000 Variable expenses (250,000 × £16) 4,000,000 Contribution margin 3,500,000 Fixed expenses 2,940,000 Net operating income £ 560, Degree of operating leverage = Contribution margin ÷ Net operating income = £3,500,000 ÷ £560,000 = 6.25 3 2. Labor-intensive: Sales (250,000 × £30) £7,500,000 Variable expenses (250,000 × £19.60) 4,900,000 Contribution margin 2,600,000 Fixed expenses 1,820,000 Net operating income £ 780,000 Degree of operating leverage = Contribution margin ÷ Net operating income = £2,600,000 ÷ £780,000 = 3.33 3 The decision hinges upon the expected sales of the new product. If management is confident that sales will be in excess of 311,111 units, then the capital-intensive method should be used. If sales are likely to fall below this number, then the labor-intensive method should be used. Management should also be aware that net operating income will be more volatile with the capital-intensive method since it has higher operating leverage. 3 Total 20 marks Question 4 Answer Maximum marks Answer: a Variable cost per unit on normal sales: Direct materials £38.80 Direct labor 9.70 Variable manufacturing overhead 2.30 Variable selling & administrative expense 1.70 Variable cost per unit on normal sales £52.50 4 Variable cost per unit on special order: Normal variable cost per unit £52.50 Reduction in variable selling & admin. 0.20 Variable cost per unit on special order £52.30 Selling price for special order £ 75.30 Variable cost per unit on special order 52.30 Unit contribution margin on special order 23.00 Number of units in special order 3,000 Increase (decrease) in net operating income £69,000 2 4 b. The opportunity cost is just the contribution margin on normal sales: Normal selling price per unit Variable cost per unit on normal sales Unit contribution margin on normal sales £81.10 52.50 £28.60 2 Maximum marks c. Minimum acceptable price: Unit contribution margin on normal sales £28.60 1 1,000 1 Lost contribution margin displaced sales £28,600 2 Total variable cost on special order 156,900 1 £185,500 1 3,000 1 £61.83 1 Displaced normal sales Number of units in special order Minimum acceptable price on special order Total 20 marks Question 5 Answer Maximum Marks a. i. Total material variance = £140 U 2 ii. = Materials price variance = AQ(AP - SP) (2.1 x 400) x (£1.60 - £1.50) = £84 U 2 iii Materials quantity variance = SP(AQ - SQ) = £1.50(2.1 x 400 - 2.0 x 400) = £60 U 2 iv. Direct labor rate variance = AH(AR - SR) = (1.4 x 400) x (£6.50 - £6.00) = £280 U 2 v. Direct labor efficiency variance = SR(AH - SH) = £6.00(1.4 x 400 - 1.5 x 400) = £240 F 2 vi . Variable overhead rate variance = AH(AR - SR) = (1.4 x 400) x (£3.10 - £3.40) = £168 F 2 vii Variable overhead efficiency variance = SR(AH - SH) = £3.40(1.4 x 400 - 1.5 x 400) = £136 F 2 b. The total materials variance is divided into a price variance and a quantity variance for two basic reasons. First, the difference between the standard materials cost for the actual output and the actual materials cost is due to two different factors. One factor is the price that was paid for the materials. 3 The second factor is the efficiency with which the materials were used. Breaking down the total variance allows managers to isolate these two factors. Second, different people are usually responsible for purchasing and for using materials in production. The price variance is generally the responsibility of the individual in charge of purchasing. The quantity variance is generally the responsibility of the individual in charge of production. 3 Total 20 marks Question 6 Maximum marks Question 6 Answer: a. Sales, April: £300,000 × 0.26 £ 78,000 Sales, May: £500,000 × 0.70 350,000 Total Collections b. £428,000 3 Budgeted cost of goods sold for May: £500,000 × 60% = £300,000 Required inventory level at the end of April: £300,000 × 25% = £75,000 c. 2 May June July Budgeted sales £500,000 £700,000 £400,000 Budgeted cost of goods sold (60%) 300,000 420,000 240,000 Desired ending inventory, at cost* Total needs 105,000 405,000 Less beginning inventory, at cost** Required purchases, at cost 60,000 480,000 75,000 105,000 £330,000 £375,000 6 *Following month’s cost of goods sold × 25% **Current month’s cost of goods sold × 25% d. Payments for May purchases: £330,000 × 0.50 £165,000 Payments for June purchases: £375,000 × 0.50 187,500 £352,500 2 e.. October production = 8,000 + (7,000 × 10%) - (8,000 × 10%) = 7,900; November production = 7,000 + (11,000 × 10%) - (7,000 × 10%) = 7,400; October production resin needs = 7,900 × 7 = 55,300 ounces November production resin needs = 7,400 × 7 = 51,800 ounces October resin purchases = 55,300 + (51,800 × 25%) - (55,300 × 25%) = 54,425 ounces 7 Total 20 marks