A concert promoter sells tickets and has a​ marginal-profit function given​ below, where P′(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets​ sold, x, is P′(x). Find the total profit from the sale of the first 260 ​tickets, disregarding any fixed costs.   P′(x)=2x-1050

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A concert promoter sells tickets and has a​ marginal-profit function given​ below, where
P′(x)
is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets​ sold, x, is
P′(x).
Find the total profit from the sale of the first
260
​tickets, disregarding any fixed costs.
 
P′(x)=2x-1050
 
Expert Solution
Step 1

Given:

          P'(x) : the rate of change of total profit with respect to the number of tickets sold, x.

And  P'(x) = 2x-1050     . . . (1)

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