In Problem, assume that a company’s monthly total revenue and total cost (both in dollars) are given by

R(x) = 140x - 0.01x² and C (x) = 60x + 70,000

where x is the number of units. Let P(x) denote the profit function.

If R̅(x) = R(x)/x and C̅(x) = C(x)/x are, respectively, the company’s average revenue per unit and average cost per unit, find
(a) lim_x→0+ R̅(x).

(b) lim_x→0+C̅(x).