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Answer on Algebra Question for Beverly Beauchamp

Question #8178
Maximizing Revenue The regular price for a
round-trip ticket to Las Vegas, Nevada, charged by an
airline charter company is $300. For a group rate the company will reduce the price of each ticket by$1.50
for every passenger on the flight.
(a) Write a formula f(x) that gives the revenue from
selling x tickets.
(b) Determine how many tickets should be sold to maximize
the revenue. What is the maximum revenue?
(a) The revenue of selling x tickets is given by formula: f(x)=( 300 - 1.50x
)x
(b)f&quot;(x)= 300 - 3x . Maximum revenue will be if f&#039;(x)=0 :

300-3x=0
x=100
The maximum revenue is \$15000 if should be sold 100
tickets.

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