A monopolist facing a demand p=1000 - 10Q has costs TC(Q) = 5Q^2 + 100Q. (a) What is the monopolist’s profit maximizing quantity and price? What is the induced DWL? (b) Suppose, on top of the costs above, the firm now also pays; (i) A flat fee of 1000 dollars, (ii) half of the profits, (iii) 150 dollars per unit sold, (iv) half of the revenue.

Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=1077096p-6, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 6 Q What is the profit maximizing quantity for the monopolist? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)

Suppose a monopolist is characterized as follows: P= 1200-5Q C = 8600 + 28Q+Q² MC 28 + 2Q demand curve for the monopolist total cost function for the monopolist marginal cost function for the monopolist To maximize its profit, the monopolist should produce units of output. (Enter your response rounded to two decimal places.) The company's profit-maximizing price is $ (Enter your response rounded to two decimal places.) The monopolist's profit is $ (Enter your response rounded to two decimal places.) Suppose the government imposes a specific tax of $150 per unit on the monopolist. To maximize profit, the monopolist should now produce units of output. (Enter your response rounded to two decimal places.) When the tax is imposed, the monopolist's profit-maximizing price becomes $ (Enter your response rounded to two decimal places.) As a result of the tax, the monopolist raises its price by

a) What is the per unit cost of the product? b) What are the demand and inverse demand functions? Now assume the local government begins to provide 100 units per week at the market price. c) What is the residual demand left for the monopolist?