Revenue for an airliner is the number of tickets sold multiplied by the price per ticket. Currently the airliner sells an average of 78 tickets for $415.00 each per flight.

a) How much revenue do they bring in per flight.

b) each time they lower the cost per ticket by $10, they will be able to sell 3 more tickets. What price will maximize their revenue, how many tickets will that be to the nearest whole ticket, and what is the value of the maximum revenue.

c) profit is revenue minus cost. More tickets sold will cost the airline more in fuel, baggage handlers, and flight attendants. Given the cost function c(x)=22783+25x, where x represents the amount of times the tickets were decreased by $10, how many tickets sold will maximize their profit and what is the value of the maximum profit.