Mathematics 10 — Exercise Review · Q9

Full question

Profit is P(x)=100x−10000 rupees. How many items must be sold to break even?

Step-by-step solution

1. Break-even means set the profit to zero.

   $$100\times x-10000=0$$

2. Equate the corresponding entries.

   $$100\times x-10000=0$$

3. Collect the variable terms on the left and constants on the right.

   $$100\times x=0+10000$$

4. Simplify the constant calculation.

   $$100\times x=10000$$

5. Divide both sides by the variable coefficient.

   $$x=\frac{10000}{100}$$

6. Reduce the fraction.

   $$x=100$$

Answer

The final answer is shown below.