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 piecewise function.
b. If the dealer 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 Skills and Strategies Example 5. How much more commission would she have made for the same sale at Glassman?