3. Suppose the inverse demand function is linear: p(q) = 24-q The monopolist's cost function is c(q)=0.5g. Assume the monopolist must charge a uniform price. (a) Find the optimum monopoly price and quantity. Also calculate the deadweight loss. (b) Suppose the government can levy a lump-sum tax T (i.e. a fixed amount indepen- dent of production) and an excise tax t per unit of production on the monopolist. These taxes can be negative, in which case they are subsidies. The proceeds of these taxes can be transferred to consumers. The monopolist is always free to quit the market, in which case she does not have to pay any taxes. The government wants to maximize the consumer welfare. Find the optimum values of t and T

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A monopolist has discovered that the inverse demand function of a person with income Y for the monopolist’s product is P = 0.002Y-Q where P is the price, Y the income, and Q is the output. The monopolist can observe the incomes of its consumers and hence vary its price accordingly. The monopolist has a total cost function C(Q) = 100Q. A. Calculate the profit maximising price as a function of the consumer’s income Y carefully explaining all the steps in the derivation of the formula. B. A monopolist has a constant marginal cost of £2 per unit and no fixed costs. He faces two separate markets in the United States and in the UK. The goods sold in one market are never resold in the other. He sets one price P1 for the US market and another price P2 for the UK market (both measured in £). The demand in the United States is given by Q1=7,000-700P1 and the demand in the UK is given by Q2=1,200-200P1. Calculate the profit maximising output produced and price charged in each country by the…

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

4) A monopolist faces a market inverse demand function: P = 250 – 5Q and marginal cost function: ATC = MC = 10.  Answer the following. If the monopolist employs a single price strategy, what is the optimal quantity produced and price charged. What is the market up and contribution margin from the strategy in part a if Ed = -1.0833. If other firms trying to enter this market had slightly higher cost structures, what would be a good price & quantity mix to limit entry of competition and why (no math needed). If the monopolist could create a bundled good instead of the strategy in part a, what price would it charge and how many units would be sold in the bundle. What are the profits from part a & part d? Which pricing strategy is preferred. EC: Briefly explain why a firm that offers a buy 2 get the 3rd free deal, does not just offer that same product at a 33.33% discount of the normal stated price. Need help with number 2.

Suppose a monopolist faces a demand equation given by P=20-Q, and a marginal revenue equation given by MR = 20-2Q, and MC=AVC=ATC=$6. What is the deadweight loss associated with the monopolist?   a) $8.5   b) $33.25   c) $24.5   d) $12.5

Consider an incumbent/monopolist with the following demand and marginal cost: P=300–Q; MC=$50. a. What is the profit maximizing price and output for the monopolist? What is the monopolist’s profit? b. Suppose there is a potential entrant, but the entrant has a cost disadvantage. The entrant’s MC = $75. Solve for the residual demand curve for the potential entrant (the entrant assumes that the monopolist will not change their total quantity from part a). c. What is the entrant’s output, price, and profit? What is the monopolist’s profit? d. What is the limit price that the monopolist could charge to deter entry? e. Is the threat/promise of the monopolist to charge the limit price a credible threat, or is the monopolist better off accommodating entry? Explain briefly.

= 240 + 0.5Q², and face 4. A monopolist has the cost function TC(Q) market demand P = 45 – Q. (a) Find the monopoly equilibrium price and output. Find the monopolist's profit.

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.

All 20 consumers are alike and each has a demand curve for a monopolist's product of p=15 -3q. The cost of production C(Q) =2Q. Let the monopolist charge a price of $PM for qM unit purchased. Find the menu prices that maximize profits? (The buyer pays menu price PM for quantity qM) What is the maximum profit the monopolist can earn in this market? (pi)?