A producer has fixed expenses of $980 to put on a 3-day production of a play. The line shows the net profit or loss of the producer based on selling x tickets.

Question

What is the minimum number of tickets the producer must sell over the 3-day period in order to earn a profit?

Each ticket to the play will be sold for $5.00.

Answer 1

If each ticket is sold for $5, we can multiply the price of the ticket by the number of tickets sold (x) to find the revenue. We need our revenue to be greater than our $980 costs in order to make a profit. This gives us the inequality:

5x > 980

/5 /5

x > 196

So, during the 3-day span of the production, they will need to sell at least 196 tickets.