A monopolist sells in two markets. The demand curve for her product is given by p1= 122 - 2x1 in the first market and p2 = 306 - 5x2 in the second market, whee xi is the quantity sold in market i and pi is the price charged in market i. She has a constant marginal cost of production, c= 6, and no fixed costs. She can charge different prices in the two makets. What is the profit-maximizing combination of quantities for this monopolist?
a. x1 = 58 and x2 = 32
b. x1 = 29 and x2 = 30
c. x1 = 59 and x2 = 29
d. x1 = 39 and x2 = 28
e. x1 = 49 and x2 = 40