(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

don't really know of relevant equations besides derivatives.

3. 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.

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# Homework Help: Problem for calculus

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