Amonopolist manufactures and sells two competing products, call them i and ii, that cost $42 and $35 per unit, respectively, to produce. the revenue from marketing x units of product i and y units of product ii is r(x, y) = 110x + 127y − 0.04xy − 0.1x^2 − 0.2y^2. find the exact values of x and y that maximize the monopolist's profits.