Suppose the demand for a certain product is given by the equation: q = D(x) = 270 - 2.5x, where q is the number of units sold per day at a price of x dollars per unit. Find the elasticity function, E(x) (E(x) = -x.D'(x) / D(x)). Find the elasticity when x is $60 per unit. Is the demand elastic or inelastic at this price? Should the store owner increase the price, decrease the price, or keep the price the same in order to maximize revenues? Why? Find the price at which the revenue is greatest when E(x) = 1. Explain.