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Consider a market served by a pure monopolist. Demand in this market is given by P=5603q. Marginal Revenue is given by MR= 560- (Sq. The monopolist has a total cost mction given by C=25+80q+q2. 1). What is the profit-maximizing price and quantity for the monopolist? What E the consumer surplus, producer surplus, total surplus, and deadweight loss in this market? Suppose now that the monopolist's total cost function is C=25+30q 2). What is the prot-maximizing price and quantity for the monopolist? What E the consumer surplus, producer surplus, total surplus, and deadweight loss in this market? 3). I have a patent on the product I sell. Give an example of a scenario in which my patent is not a barrier to the entry of potential competitors. 4). Give an example of an industry that may he a natural monopoly. Why is it a natural monopoly