(8 points) A car rental agency rents 396 cars per day at a rate of 40 dollars per day. An internal analysis concludes th

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8 Points A Car Rental Agency Rents 396 Cars Per Day At A Rate Of 40 Dollars Per Day An Internal Analysis Concludes Th 1 (82.34 KiB) Viewed 68 times

(8 points) A car rental agency rents 396 cars per day at a rate of 40 dollars per day. An internal analysis concludes that for each 2 dollar increase in the daily rate, 5 fewer cars are rented. We will define the variable a to represent the number of rate increases that are included. We will allow a to be any real number, including decimal values. (a) Find the function p(a) which gives the daily rental fee (price) in dollars, where a is the number of increases. p(a) = (b) Find the function q(a) which gives the quantity of cars rented (the daily demand), where a is the number of increases. q(a): = (c) Find the total revenue function R(a) which gives the daily revenue in dollars, where a is the number of rate increases. R(a) = (d) Find the value of a that will maximize the daily revenue function R(a). Do not round your answer. The value of a to maximize daily revenue is a = (e) Use your answers above to complete the following sentences. Answers with dollar amounts should be accurate to the exact cent. In order to maximize daily revenue from car rentals, the rental agency should increase the current daily fee by a total of $ fee for a day will be $ which will generate a daily revenue of $ . The new rental