The revenue of a charter bus company depends on the number of unsold seats. If 100 seats are sold, the price is $55 per seat. Each unsold seat increases the price per seat by $1. Let X represents the number of seats that are unsold.

a) Write an expression for the number of seats that are sold.
b) Write an expression for the price per seat.
c) Write an expression for the revenue
d) Find the number of unsold seats that will produce the maximum revenue.
e) Find the maximum revenue

Question

The revenue of a charter bus company depends on the number of unsold seats. If 100 seats are sold, the price is $55 per seat. Each unsold seat increases the price per seat by $1. Let X represents the number of seats that are unsold.

a) Write an expression for the number of seats that are sold.
b) Write an expression for the price per seat.
c) Write an expression for the revenue
d) Find the number of unsold seats that will produce the maximum revenue.
e) Find the maximum revenue