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An airline knows that there are two types of travelers: business travelers and vacationers. For a particular flight, there are 100 business travelers who will pay $600 for a ticket while there are 50 vacationers who will pay $300 for a ticket. There are 150 seats available on the plane. Suppose the cost to the airline of providing the flight is $20,000, which includes the cost of the pilots, flight attendants, fuel, etc.

Required:
a. How much profit will the airline earn if it sets the price of each ticket at $600?
b. How much additional profit can the airline earn by charging each customer their willingness to pay relative to charging a flat price of $600 per ticket?