In: Math
A minor league baseball team plays in a stadium that holds 6,000
spectators. With ticket prices at $8, the average attendance had
been 3,500. When ticket prices were lowered to $6, the average
attendance rose to 4,500.
a) (8 points) Find the ticket price ? as a function of the
attendance ?. You can assume
ticket price is linearly related to attendance.
b) (4 points) What ticket price will fill the stadium? What ticket price will ensure there are no spectators?
c) (8 points) What ticket price will maximize the revenue?
d) (8 points) Find the value(s) of ? for which the slope of the function ?(?) = ?2?−3? equals zero.