In 2024 , a company made a profit of $$ R 2.5 $$ million from selling laptops at $$ R 4,500 $$ per laptop. If their fixed costs are $$ R 580,000 $$ per annum and the cost to produce each laptop is $$ R 2,900 $$, how many laptops did they sell in 2024 ?

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1. Let $$ x $$ be the number of laptops sold.

2. The company’s revenue from selling $$ x $$ laptops is:
   $$
   \text{Revenue} = 4500x
   $$

3. The total cost includes the fixed costs and the production cost per laptop. The fixed cost is $$ 580\,000 $$ and the variable cost is:
   $$
   \text{Variable Cost} = 2900x
   $$
   Thus, the total cost is:
   $$
   \text{Total Cost} = 580\,000 + 2900x
   $$

4. The profit is given by the revenue minus the total cost. Therefore:
   $$
   \text{Profit} = 4500x - \left(580\,000 + 2900x\right)
   $$

5. Simplify the profit expression:
   $$
   \text{Profit} = 4500x - 580\,000 - 2900x = 1600x - 580\,000
   $$

6. The company made a profit of $$ 2.5 $$ million, which is $$ 2\,500\,000 $$. Set the profit equation equal to $$ 2\,500\,000 $$:
   $$
   1600x - 580\,000 = 2\,500\,000
   $$

7. Solve for $$ x $$:
   $$
   1600x = 2\,500\,000 + 580\,000 = 3\,080\,000
   $$
   $$
   x = \frac{3\,080\,000}{1600}
   $$
   $$
   x = 1925
   $$

8. Therefore, the company sold $$ 1925 $$ laptops in 2024.
The company sold 1,925 laptops in 2024.

In 2024 , a company made a profit of million from selling laptops at per
laptop. If their fixed costs are per annum and the cost to produce each laptop
is , how many laptops did they sell in 2024 ?

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In 2024 , a company made a profit of million from selling laptops at per laptop. If their fixed costs are per annum and the cost to produce each laptop is , how many laptops did they sell in 2024 ?