A charter flight charges a fare of $200 per person plus $4 per person for each unsold

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A charter flight charges a fare of $200 per person plus $4 per person for each unsold seat on the plane. The plane holds 100 passengers. Let x represent the number of unsold seats.
(a) Find an expression for the total revenue received for the flight R(x). (Multiply the number of people flying, 100 - x, by the price per ticket.)
(b) Graph the expression from part (a).
(c) Find the number of unsold seats that will produce the maximum revenue.
(d) What is the maximum revenue?

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