FAC2602 SOLUTIONS
Question 1 (a) Solution
UrbanKick Sports Limited (UKS): Expected Operating Profit Including Nova X9
1. Expected Operating Profit from Existing Operations
Expected operating profit is calculated as the probability-weighted average:
Operating profit (R) Probability Expected value (R)
1,600,000 20% 320,000
1,700,000 30% 510,000
1,800,000 40% 720,000
2,000,000 10% 200,000
Expected operating profit (existing) = R1,750,000
2. Expected Operating Profit from Nova X9
Step 1: Expected annual production quantity
Quantity (pairs) Probability Weighted quantity
9,000 30% 2,700
12,500 40% 5,000
15,000 20% 3,000
18,500 10% 1,850
Expected annual production quantity = 12,550 pairs
Step 2: Selling price and variable cost per pair
Selling price = R880 per pair; Variable cost per pair = R755 (Direct material 480 + Direct
labour 220 + Variable overhead 55)
Step 3: Expected revenue, variable costs and contribution
, Expected revenue = 12,550 × R880 = R11,044,000
Expected variable costs = 12,550 × R755 = R9,475,250
Contribution = R11,044,000 − R9,475,250 = R1,568,750
Step 4: Subtract annual fixed costs
Fixed costs = R450,000
Expected operating profit from Nova X9 = R1,118,750
3. Total Expected Operating Profit (Existing + Nova X9)
Total expected operating profit = R1,750,000 + R1,118,750 = R2,868,750
FINAL ANSWER: R2,868,750
Question 1 (a) Solution
UrbanKick Sports Limited (UKS): Expected Operating Profit Including Nova X9
1. Expected Operating Profit from Existing Operations
Expected operating profit is calculated as the probability-weighted average:
Operating profit (R) Probability Expected value (R)
1,600,000 20% 320,000
1,700,000 30% 510,000
1,800,000 40% 720,000
2,000,000 10% 200,000
Expected operating profit (existing) = R1,750,000
2. Expected Operating Profit from Nova X9
Step 1: Expected annual production quantity
Quantity (pairs) Probability Weighted quantity
9,000 30% 2,700
12,500 40% 5,000
15,000 20% 3,000
18,500 10% 1,850
Expected annual production quantity = 12,550 pairs
Step 2: Selling price and variable cost per pair
Selling price = R880 per pair; Variable cost per pair = R755 (Direct material 480 + Direct
labour 220 + Variable overhead 55)
Step 3: Expected revenue, variable costs and contribution
, Expected revenue = 12,550 × R880 = R11,044,000
Expected variable costs = 12,550 × R755 = R9,475,250
Contribution = R11,044,000 − R9,475,250 = R1,568,750
Step 4: Subtract annual fixed costs
Fixed costs = R450,000
Expected operating profit from Nova X9 = R1,118,750
3. Total Expected Operating Profit (Existing + Nova X9)
Total expected operating profit = R1,750,000 + R1,118,750 = R2,868,750
FINAL ANSWER: R2,868,750