The manager of culture tours Inc. has estimated that only about 100 persons will buy tickets for P250 for a round trip special weekend at a beach club .This number of passengers however ,could likely be increased by 20% for every P50 decrease in the ticket price . If his estimates is correct, a. Set up the demand function for the trip, assuming it is linear. b. Determine the total revenue function. c. Determine the maximum revenue the manger can expect to obtain , and the number of passengers at maximum revenue.