24. Salespersons at the Kings Park Auto Giant are paid a commission, c(p), based on the profit, p. The following piecewise function gives
the commission rules.
(0.20 p when 0 < p < 900
c(p) = {0.23 p when 900 = p< 1,500
0.25 p when p = 1,500
a. If the profit is $1,500, what is the percent commission rate?
b. If the profit is $900, what is the percent commission rate?
c. What is the commission on a car sold for a $970 profit?
d. Kings Park Auto Giant purchases a car for $32,090 and sells it for
$33,200. What commission is paid to the salesperson?