A study of the demand for air travel in Australia found that the demand for discount air travel from Sydney to Melbourne (in revenue passenger kilometer per capita, the product of the number of passengers traveling on a route and the distance of the route, divided by the populations of the host cities) depends on the airfare according to the equation q = 55.2 - 0.022p.

(a) Find the elasticity when the price is $166.10, the average discount airfare deflated by the consumer price index to 1989–1990 prices, according to the authors of the study.

(b) Is the demand for airfare elastic or inelastic at this price? Will an increase in price result in an increase in total revenue?
(c) Find the price that maximizes revenue.