# Answer to Question #8178 in Algebra 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?

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?

Expert's answer

(a) The revenue of selling x tickets is given by formula: f(x)=( 300 - 1.50x

)x

(b)f"(x)= 300 - 3x . Maximum revenue will be if f'(x)=0 :

300-3x=0

x=100

The maximum revenue is $15000 if should be sold 100

tickets.

)x

(b)f"(x)= 300 - 3x . Maximum revenue will be if f'(x)=0 :

300-3x=0

x=100

The maximum revenue is $15000 if should be sold 100

tickets.

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