- #1

the_morbidus

- 18

- 0

## Homework Statement

Currently 2000 people attend performances of The Sound of Music if tickets cost $40. Expenses are $8 per person in attendance for each performance. For each $2 decrease in the ticket price, 200 more people attend. Calculate the ticket price that produces maximum profit.

## Homework Equations

don't really know of relevant equations besides derivatives.

## The Attempt at a Solution

So I'm struggling to solve this one, I've been trying to use another similar problem to help me solve this and so i have come up with 2 functions for it.

2000+200x for how much people will come in

40-2x for the minimum price for the fare

now i don't know where to put $8 and well i just can't figure out the main function so i can come up with a derivative and solve for x.