Amaya is a gardener - OCR - GCSE Business - Question 11 - 2022 - Paper 1

Next, we calculate the Total Revenue (TR), which is the income Amaya generates from her gardening work:

Let the price charged per hour be (P) = £15.

The Total Revenue can be expressed as:

$TR = P \times h = 15h$

To start making a profit, Total Revenue must be greater than Total Costs:

$TR > TC$

Substituting the equations we derived gives:

$15h > 18000 + 2h$

Rearranging the inequality:

$15h - 2h > 18000$

$13h > 18000$

Now, divide both sides by 13:

$h > \frac{18000}{13}$

Calculating this gives:

$h > 1384.61538461538$

Since Amaya cannot work a fraction of an hour, we round up to the nearest whole number:

Thus, Amaya would need to work at least 1385 hours to start making a profit.