+0/3 points | Previous Answers SPreCalc7 3.1.066. My Notes Ask Your Teacher A ba

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+0/3 points | Previous Answers SPreCalc7 3.1.066. My Notes Ask Your Teacher A baseball team plays in a stadium that holds 52,000 spectators. With the ticket price at $10, the average attendance at recent games has been 27,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000 (a) Find a function that models the revenue in terms of ticket price. (Let x represent the price of a ticket and R represent the revenue.) r(x) =| 56000x-3000x2 x (b) Find the price that maximizes revenue from ticket sales. (c) What ticket price is so high that no revenue is generated? Need Help?Read It Watch It -15 points SPreCalc7 3.1.002. My Notes Ask Your Teacher ÷ The quadratic function x) -a(x - h)2 + k is in standard form (a) The graph of fis a parabola with vertex (x, ) (b) If a >o, the graph of fopensSelect. In this case fth) k is the Select... value of f (c) If a 0, the graph of f opens .."Select B . In this caseh) = k is the select B value of f Need Help?Read It

Explanation / Answer

1) let x = price of the ticket

revenue function can be written as

R (x) = x (27000+3000(10-x) )

= 27000x + 30000x - 3000x^2

R(x) = -3000x^2 + 57000x

b)  price that maximizes the revenue is

x = -57000/2(-3000)

x = 9.5

$9.5 maximizes the revenue

c) puting R = 0

-3000x^2 + 57000x = 0

x ( -3000 x + 57000) = 0

x = 0 , x = 19

so, if ticket price was $19 then no revenue was generated

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