Suppose a musical theater producer uses the rule f(x)=-360x^2+3600x to estimate the musical's income (I) in dollars as a function of ticket price in dollars, x.

Jared Lowe

Jared Lowe

Answered question

2022-11-10

Suppose a musical theater producer uses the rule f ( x ) = 360 x 2 + 3600 x to estimate the musical's income (U) in dollars as a function of ticket price in dollars

Answer & Explanation

mentest91k99

mentest91k99

Beginner2022-11-11Added 17 answers

Given data:
I ( x ) = 360 x 2 + 3600 x
For maximum income change in I(x)=0
So change in I ( x ) = d d x ,   I ( x ) = 0
derivative of I(x), d d x I ( x ) = 2 360 x + 3600 0 = 720 x + 3600 720 x = 3600 x = 5
ticket price x=5 the income a maximum

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