derivative hot dog problem
mr. hot and mrs. dog are taking over a hot dog stand. the current owner now charges $2 per hot dog and gets appx 56 customers during the lunch hour. they want to figure out how to maximize their profits. they do some research and find that for every $0.50 they raise the price of the hot dogs, they will lose 2 customers.
using derivatives, what is the maximum amount they can charge per hot dog so their income is maximized and what is that maximum income?