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Find the sales value at which profit of shs. 4.5 million will be achieved.

Jamaa Company Ltd manufactures and sells a single product. The following information regarding the company’s operations for the year ended 30 September 2020 was presented to you.

Profit and loss account for the year ended 30 September 2020

Frw’000Frw’000
Sales30,000
Less:
Production costs
Direct material6,500
Direct labour5,400
Production overhead variable7,000
Prime costs18,900
11,100
Other expenses:
Selling – Variable2,600
– Cost1,997
Administration2,1006,697
Net profit4,403

The following changes are expected to occur during the year ending 30 September 2021:

1. Selling price will be adjusted downward by 3% in order to attract more customers.

2. Material prices will rise by 2% due to inflation.

3. There will be a reduction in labour cost of 4%.

4. Production overheads will increase by 3%.

5. Increase in the efficiency of sales persons will reduce direct selling costs by 5%.

All other factors are expected to remain constant.

Required:

a) Break-even point in sales value (2 Marks)

b) The margin of safety in sales value (2 marks)

c) The sales value at which profit of shs. 4.5 million will be achieved (2 marks)

A summary operating statement that shows the net profit of Shs.4.5 million in (c) above.

Solution:

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