McCormack Chrysler pays their sales staff by commission. They are paid a percent of the profit the

Question:

McCormack Chrysler pays their sales staff by commission. They are paid a percent of the profit the dealership makes on the car. If the profit is $500 or less, the commission rate is 17%. If the profit is greater than $500 and less than or equal to $1,100, the commission rate is 20%. If the profit is above $1,100, the rate is 22%.
a. If x represents the profit, express the commission c(x) as a piece- wise function.
b. If the purchases the car for $21,696 and Kristin, a salesperson, sells it for $22,800, how much commission does Kristin earn for the sale?
c. Kristin is thinking of leaving McCormack Chrysler and working at Glassman Chevrolet, from Example 5. How much more com- mission would she have made for the same sale at Glassman?
Dealer
A dealer in the securities market is an individual or firm who stands ready and willing to buy a security for its own account (at its bid price) or sell from its own account (at its ask price). A dealer seeks to profit from the spread between the...