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.

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.