Suppose that Northfake is a monopolist in the bag industry. However, the industry faces two market segments of consumers (low-income and high-income classes). Given Northfake's greedy nature, the company aims to maximize profits by capturing both market segments thru price discrimination. (13 marks) Consider the following functions:

Demand Function (Low): Qlow = 30 - 2P

Demand Function (High): Qhigh = 35 - P

Northfakes Total Cost Function: TC = 20 + 10Q

a) Derive the MR function for both market segments (4 marks) b) Derive Northfake's Marginal Cost (2 marks) c) Solve for the profit maximizing price and quantity for both market segments (4 marks) d) Solve for the Northfake's Total Revenue (2 points) e) Solve for the monopoly profits (1 points)