# Problem 1. Maximum 15 points

A company that produces educational materials for exam preparation incurs average costs per textbook of $100+\frac{100000}{Q}$, where $Q$ is the number of textbooks produced annually. What should be the annual production volume of the textbook to reach the break-even point if the planned price of the textbook is 300 monetary units?

#
# Solution

At the break-even point $\mathrm{P}=\mathrm{ATC}=\mathrm{MC}$

Form the equation $100+10000 / Q=300$

$100 \mathrm{Q}+100000=300 \mathrm{Q}$

$100000=200 \mathrm{Q}$

$\mathrm{Q}=100000 / 200=500$

## Evaluation Criteria

1. The correct answer is justified: 15 points