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MAC3702 Assignment 2 Semester 1 Memo | Due 22 April 2026

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MAC3702 Assignment 2 Semester 1 Memo | Due 22 April 2026. STEP-BY-STEP CALCULATIONS PROVIDED. REQUIRED (a)Calculate the expected operating profit for the year ending 31 December 2025 including theexpected operating profit from the new Nova X9. [Round off to the nearest Rand] (10) (b)Determine how the acquisition of the new manufacturing machine should be financed, consideringthe funding options available to UKS as well as the current capital structure on 31 December 2025using book values. In your comments, discuss what factors the company should also considerregarding cheaper funding options and control. (Calculations 9 marks; comments 3 marks) (12)

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 QUESTION 1

(a) Calculate the expected operating profit for the year ending 31 December 2025 including
theexpected operating profit from the new Nova X9. [Round off to the nearest Rand]

1. Expected Operating Profit (excluding Nova X9)
The expected operating profit, excluding the profits from the sale of Nova X9 soccer boots, is based
on the probabilities provided:

 R1,600,000 with a probability of 20%
 R1,700,000 with a probability of 30%
 R1,800,000 with a probability of 40%
 R2,000,000 with a probability of 10%

The expected operating profit for the year (excluding the Nova X9) is calculated as:

Expected Operating Profit (Excluding Nova X9) = (1,600,000×0.20) + (1,700,000×0.30) +
(1,800,000×0.40) + (2,000,000×0.10)

=320,000 + 510,000 + 720,000 + 200,000 =1,750,000

2. Expected Operating Profit from Nova X9
To calculate the expected operating profit from the new Nova X9, we need to follow these steps:

First, determine the expected quantity of Nova X9 boots to be sold:
 9,000 pairs with a probability of 30%
 12,500 pairs with a probability of 40%
 15,000 pairs with a probability of 20%
 18,500 pairs with a probability of 10%

The expected quantity of boots to be sold is:

Expected Quantity of Nova X9=(9,000×0.30)+(12,500×0.40)+(15,000×0.20)+(18,500×0.10)
=2,700+5,000+3,000+1,850=12,550 pairs

 Revenue per pair = R880

 Variable costs per pair:
 Direct material: R480
 Direct labour: R220
 Variable overhead: R55
 Total variable costs per pair = 480+220+55=R755

 Contribution margin per pair = Selling price per pair - Total variable costs per pair:

Contribution margin per pair=880−755=R125

 Fixed costs for Nova X9 = R450,000 per annum

, The expected operating profit from Nova X9 is:

Expected Operating Profit (Nova X9)=(Expected Quantity of Nova X9×Contribution margin per
pair)−Fixed costs =(12,550×125)−450,000
=1,568,750−450,000=1,118,750

3. Total Expected Operating Profit
Now, combine the expected operating profit from the existing business and the new Nova X9:

Total Expected Operating Profit=1,750,000+1,118,750=2,868,750

So, the total expected operating profit for the year ending 31 December 2025 is R2,868,750.

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