How many tickets do they have to sell to stay within the range of expected profits?

Question

A production's cost has totaled $6000. The show plans to charge $25 per ticket and want to make at least enough money to cover their costs, but due to the limited run of the show they calculate that they will not make more than a $12,500 profit.

Answer 1

Here's what we know:

6000 ≤ 25x ≤ 12500 (need to make at least $6k to cover costs, but the run limits to $12.5k. Tickets cost $25)

 

Divide by 25:

240 ≤ x ≤ 500

 

So they have to sell between 240 and 500 tickets.