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.)
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- Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=813-7p, 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) = 7 Q What is the profit maximizing price for this monopolist? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)A monopolist faces the following market demand function: D(P) = 100 – P and has total costs equal to TC(Q) = 100 + 100 Show that the monopolist's cost function is subadditive for all relevant levels of demand (for all Q< 100). (Hint: Let EN Qi = Q be a way to split up the total production of quantity Q in N different firms. You can then use the fact that the minimum of EN Q? is reached at Qi = 8.)Market research shows that a particular monopolist faces a market demand function given byIts cost function isP (Q) = 50 - 2Q.C(Q)= 47 + 10Q What is the monopoly market price and quantity? What is the monopolist’s profit? What is consumer surplus at the monopoly price? What would the price and quantity be in this market be if the monopolist behaved as in perfect competition? What is the consumer surplus in the case of perfect competition? Which is higher and why? What is the “social cost” of monopoly?
- Suppose a monopolist faces two markets withdemand curves given by D1(p1) = 200 − p1D2(p2) = 100 − 2p2Assume that the monopolist’s cost function is c(y) = y2 1. What is the optimal prices for the monopolist if it can charge different prices in these markets?2. What is the optimal price if the monopolist must charge the same price in each market?3. How much total consumers’ surplus changes between the two separate prices and the sameprice cases?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?Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=813-7p, 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) = 7 Q What is the efficiency loss in the monopoly equilibrium? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)
- A single firm produces widgets, with a cost function and inverse demand function as follows, C(q) = 150 + 2q P(Qd) = 10 − 0.08Qd (a) Calculate the monopolist’s profit-maximizing price, quantity, and profit if he can charge a single price in the market (single price monopolist). (b) Suppose the firm can sell units after your answer to (a) at a lower price (2nd-degree price discrimination, timed-release). What quantity will be sold for what price in this second-tier market? Calculate the monopolist’s profit. (c) Suppose each new tier of pricing the monopolist introduces increases fixed costs by $2 (quantities can be irrational). What is the profit-maximizing quantity, number of prices, monopolist’s profit, and deadweight loss? (d) Suppose the firm can perfectly price discriminate (1st-degree) with a 40% increase in marginal cost; calculate the profit-maximizing quantity, monopolist’s profit, and deadweight loss? (e) Between (c) and (d), which is socially preferred? Which would the…Only answer BOLD and ITALIC part of the question. 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 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=1,200-200P2. - Calculate the profit maximising output produced and price charged in each country by the price-discriminating monopolist and comment in which country the price charged is higher and by how much.…A monopolist has a cost function c(q) = 5q+800 and faces aggregate demand q=3000 - 120p. Suppose first that monopolist sells q=400 units. The monopolist's revenue would be The monopolist profit would be The absolute value of the price elasticity of demand would be The consumer surplus would be Now suppose that the monopolist chooses q to maximize its profit. The monopolist's revenue would be The monopolist profit would be The absolute value of the price elasticity of demand would be The consumer surplus would be
- Albert and Johny are the only sellers of Motorbikes in Ireland. The inverse market demand function for motorbikes is P(Y)= 200- 2Y . Both firms have the same total cost function: T(C)= 12Y and the same marginal cost: M(C)=12. Suppose now that the two firms decide to act like a single monopolist. What will the total quantity of Motorbikes sold in the market be and what will the equilibrium price be? Represent the profit maximisation problem on a graph and indicate the price and quantity at the equilibrium. Calculate the total profit made by the two firms when they act like a monopoly. Compare it with the total profit they were making in the Stackelberg oligopoly. For the two firms to be willing to agree to act as a monopoly, how should they split the quantity to produce between them? We assume that if they do not agree to act like a monopoly, then the market structure is the Stackelberg oligopoly studied above. We further assume that no money transfer is possible between the two…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 that a monopolist, who sells all units at a uniform price, faces an inverse market demand curve P=100- 2Q. a) If there is no cost of production, what output would the firm produce to maximize profit, what price would the firm charge, and what profit would the firm earn? Give the numerical value of these three variables, showing how you determined them. b) If the firm’s total cost were instead positive, given by the function TC=10Q, what output would the firm produce to maximize profit, what price would the firm charge, and what profit would the firm earn? Give the numerical value of these three variables, showing how you determined them.