e C(learly identify the solution. Show your work. e Itis your responsibility to make sure that the solution is legible PART 1 2. Calculate the marginal cost function, if the total cost function is given by: TC(q) = g3~ 10q + 100. PART 2 1. Write down the maximization problem for a monopolist with cost function TC(q) = q* + 20 when they face a demand function D(p) = 200 - 4p. 2. Find the quantity that solves the problem, and the price that the monopolist charges. PART 3 1. Consider a perfectly competitive market, with a market demand of D(p) =100 - 2p and an industry supply of S(p) = 2p. 1. What is the price and quantity that clear the market? 2. What is the implied consumer surplus and producer surplus