Asked by Anonymous
A 3500-seat theater sells tickets for $75 and $110. Each night the theater's expenses total $245,000. When all 3500 seats sell, the owners want ticket revenues to cover expenses plus earn a profit of 25% of expenses. How many tickets of each price should be sold to achieve this?
Answers
Answered by
Henry
X Tickets @ $75 each.
(3500-X) Tickets @ $110 each.
75x + 110(3500-x) = 245,000+0.25*245,000
75x + 385,000-110x = 306,250
-35x = 306,250-385,000 = -78,750
X = 2250 Seats @ $75 each.
3500-x=3500-2250 = 1250 seats @ @110each
(3500-X) Tickets @ $110 each.
75x + 110(3500-x) = 245,000+0.25*245,000
75x + 385,000-110x = 306,250
-35x = 306,250-385,000 = -78,750
X = 2250 Seats @ $75 each.
3500-x=3500-2250 = 1250 seats @ @110each
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.