1. A charter flight charges a fare of $200per person plus an additional $4 per person for each unsold seat on a plane that holds a maximum of 100 passengers. Let x represent the number of unsold seats.

a)Express the number of passengers on the flight as a function of x. Call this functionQ(x).

b)Express the price per ticket on the flight as a function of x. Call this functionP(x)

c)Express the total revenue received for the flight as a function of x. Call this functionR(x)

d)Find the number of unsold seats that will produce the maximum revenue as well as what the maximum revenue is (rounded to the nearest cent). Explain how you found your answer using complete sentence