A monopolist faces two demand curves in two separate markets. The Market Demand in the first market is P1=100-Q1 and in the second market it is P2=50-0.5Q2. The marginal & average costs are constant at 10 (MC=AC=10). Find the Monopoly Price and Quantity in each market. Find the Perfect Competition Price and Quantity in each market. Calculate Profit, Social Welfare (Consumer and Producer Surpluses), and Dead Weight Loss in both situations and in both markets.

Suppose a monopolist faces a market demand that is the first two columns in the table below. Also, in the short run, assume that Total Fixed Cost equals $100 and the monopolist has Total Variable Cost according to the table. Find Total Revenue for each price and quantity combination, and then Marginal Revenue as price falls and quantity increases. Fill in the rest of the costs in the table and find profit at each price and quantity combination as the difference between Total Revenue and Total Cost. If profit is less than zero that indicates a loss. What is the maximum profit you found in this table? At what quantity and price combination is profit maximized for this monopolist? Next, verify this result by using Marginal Analysis to find the profit maximizing price and quantity combination. For each quantity, ask yourself if Marginal Revenue exceeds Marginal Cost. If it does, then profits would be increased by producing that quantity. As you go down the table to higher quantities, stop…

Suppose the market demand function (expressed in dollars) for a normal product is P= 90-q, and the marginal cost (in dollars) of producing it is MC = 1q, where P is the price of the product and q is the quantity demanded and/or supplied  1. Compute the consumer surplus and the producer surplus assuming this same product was supplied by a monopolist. Note that the monopolist’s marginal revenue curve has twice the slope of the demand curve. 2.  Compare and contrast economic surpluses under monopoly market vs competitive market.  3.

There are two types of consumers: one half of consumers are type 1 (low type) and the other half are type 2 (high type). Type l's demand curve is q1 = 8 – P, while type 2's demand is given by q2 = 12 – P. Consider a monopolist selling its product to these consumers. Assume that the marginal cost is equal to zero. 1.1. Suppose that the firm can charge only one price, P, for each unit. (1) What is the market demand, Q? (Note: Q should be equal to q1 + q2.) What should be P that maximizes the monopoly's profit? For the profit- (2) maximizing P, will both types of consumers purchase the product, or only high type con- sumers purchase? (3) Given the price in (2), what is the resulting social surplus?