For each of these monopolists, find the profit maximizing price Solution Profit maximization rule is MR = MC. where MR = d(TR) / dQ [TR = Total Revenue = P x Q} (a) Q = 100 - 4P, So P = (100 - Q) / 4 TR = P x Q = Q x (100 - Q) / 4 MR = 25 - 0.5Q So 25 - 0.5Q = 10 Solving, Q = 30 & P = 17.5 (b) Q = 40 - 0.5P or P = 80 - 2Q TR = P x Q = Q x (80 - 2Q) So MR = 80 - 4Q So 80 - 4Q = 16 Solving, Q = 16 & P = 48 (c) Q = 1 / P4 Or, P = Q1/4 So TR = Q5/4 MR = 5Q1/4 So, 5Q1/4 = 3 Solving, Q = 0.1296 & P = 0.60.