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A Small Theater Has a Seating Capacity of 2000 R(x)=−50x2+2500x,10≤x≤20R ( x ) = - 50 x ^ { 2 } + 2500 x , 10 \leq x \leq 20

Question 9

Multiple Choice

A small theater has a seating capacity of 2000.When the ticket price is $20,attendance is 1500.For each $1 decrease in price,attendance increases by 50.The revenue R of the theater as a function of ticket price x is as follows R(x) =−50x2+2500x,10≤x≤20R ( x ) = - 50 x ^ { 2 } + 2500 x , 10 \leq x \leq 20 What ticket price will yield a maximum revenue?


A) $55.00 ?
B) $35.00 ?
C) $25.00 ?
D) $45.00 ?
E) $65.00 ?

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