Suppose a monopolist faces two groups of consumers. Group 1 has a demand given by P1=50-2Q1 and MR1=50-4Q1. Group 2 has a demand given by P2=40-Q2 and MR2=D40-2Q2. The monopolist faces MC=AVC=DATC=$10 regardless of which group he supplies to. What is the profit-maximizing quantity for Group 2? 1) 2) 3) 4) 18 12 10 15
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- A monopolist sells the same product at the same price into two different markets. The demand for the product in market #1 is denoted D,(p) = 15 – p where p is the unit price. The demand for the product in market #2 is given by D2(p) = 40 – 6p. 1. If the monopolist sets a price of $8 per unit, what is the total demand? 2. Explain why elasticity of total demand is not defined at a unit price of 20. 3Q1) Suppose that the inverse demand for a product is represented by the equation P = 50 – Q, where P is the price in Euros and Q is the annual output. Suppose that only one firm produces this product and that the marginal and average cost is €10. Calculate the profit-maximising price for this monopolist. Q2) In autumn, Erling Kagge, who lives alone on an island near the North Pole, puts 50 bags of root vegetables from his harvest into a cave just before a family of polar bears goes in to hibernate. The polar bears do not eat vegetables but would attack Kagge if he approached them. As a result, he is unable to get the vegetables out before the polar bears emerge the following spring. The vegetables spoil at the same rate no matter where he stores them. Which of the following statements best describes this behaviour? A. Kagge’s behaviour is an example of the anchoring effect in action B. Kagge’s behaviour is an example of the framing effect in action C. Kagge’s…1. A profit maximizing monopolist has the following demand and cost functions: P =80– 2Q TC = Q² +8Q+20 The government is considering imposing an excise tax on the production and sale of the product. The tax increases the variable cost for the firm. For example, if the tax is $2 per unit and the firm produces 10 units then the firm needs to pay $2x10 =$20 total tax to the government. This is added to the firm's cost of production. The government's objective is to generate the maximum possible tax revenue from the monopolist by imposing an excise tax on the production and sale of the product. Drawing a simple diagram describe this as a sequential game. Considering tax rate (t) as the continuous strategy for the government and the output as the continuous strategy for the firm, determine the subgame perfect Nash equilibrium and calculate the optimal tax rate and the optimal level of output. Also, calculate the price charged by the firm. Determine the payoffs in the game when the…
- A monopolist faces a market demand curve given by Q(p) = 70 – p. Its total costs are described by TC(Q) = 3ố0 Q³ – 5Q + 250. 1 a) Derive the monopoly price, quantity, and profits. b) Calculate Lerner Index under the monopoly equilibrium. c) Now suppose the government sets the maximum price at $40. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss? d) Suppose the government sets the maximum price at $30. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss?Question 4. Consider a monopolist facing a demand curve of the form D(p) = 100 – 2p where p is the - unit price. Suppose the monopolist has a constant marginal cost of production of $2 a unit. Bunter was asked to determine the price which would maximize consumer surplus. Here is his solution: Total surplus as a function of price is 50(100 – 2x)dx. The derivative of this with respect to p is -(100-2p). This is maximized by making p as large as possible, i.e., p = 50. Is Bunter correct? If not, what is the error that Bunter has made?A monopolist is deciding how to allocate output between two geographically separated markets (East Coast and Midwest). Demand and marginal revenue for the two markets are: P1=20−Q1 MR1=20−2Q1 P2=30−2Q2 MR2=30−4Q2 The monopolist's total cost is C=5+5(Q1+Q2). What are price, output, profits, marginal revenues, and deadweight loss if the monopolist can price discriminate? (round all answers to two decimal places) In market 1, the price is $12.50 and the quantity is 7.50 In market 2, the price is $17.50and the quantity is 6.25
- A monopolist is deciding how to allocate output between two geographically separated markets (East Coast and Midwest). Demand and marginal revenue for the two markets are: P1=20−Q1 MR1=20−2Q1 P2=30−2Q2 MR2=30−4Q2 The monopolist's total cost is C=5+5(Q1+Q2). What are price, output, profits, marginal revenues, and deadweight loss if the monopolist can price discriminate? (round all answers to two decimal places) In market 1, the price is $12.50 and the quantity is 7.50 In market 2, the price is $17.50and the quantity is 6.25 The monopolist's profit is $_____.A monopolist has a constant marginal cost of 12. Consumers' inverse demand is P = 32 - 4Q. The monopolist runs a persuasive advertising campaign that costs 26 and increases consumer demand to P = 37 - 4Q. (a) What is the gain (or loss) in the firms profits caused by the advertising campaign? b) When consumers' pre-advertising preferences are used to calculate welfare, what is the welfare gain (or loss) caused by the advertising campaign? Answer 2 Question 1 (c) When consumers' post-advertising preferences are used to calculate welfare, what is the welfare gain (or loss) caused by the advertising campaign? Answer 3 Question 1Consider the diagram below: a) If a firm is single –price monopolist, what price firm will charge and what is the profit maximizing output? Calculate the area of monopolist’s profit (in tk), consumer surplus (in tk) and deadweight loss (in tk) from the information of the diagram. b) If the firm would work as a perfectly price discriminating monopolist, what amount of output firm would have produced? How firm would have charged price? Calculate the area of consumer surplus (in tk), profit(in tk) and deadweight loss (in tk) from the information of the diagram. Don,t copy from anywhere. Answer must be correct.Do all answer.
- Consider a monopolist facing two consumers with the following two inverse demand functions: P=200-4Q1 and P=122- 6Q2. Assume that fixed costs are zero and that the marginal cost is equal to $8.a) Suppose the monopolist can differentiate between the two consumers. The monopolist decides to use a twoparttariff that permits both consumers to stay in the market. Solve for each consumer’s demand, fixed fee andmonopolist profits. b) Assume the monopolist cannot differentiate between the two consumers and hence cannot apply a two-parttariff. He decides to serve both consumers. Solve for the equilibrium aggregate demand and price in themarket, demand of each consumer and the monopolist profit.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.