A monopolist sells good Q and demand is Q = 10-P, where P is price. The firm must Choose to produce Q = 1, 2, 3 or 4 units of output. Assume that MC is $2.95. In this case, the optimal Q* for the monopolist is units, and the resulting area of the triangle for consumer surplus is
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- 9. A monopolist produces a good at a constant marginal cost of 4. Suppose the monopolist is able to practice first-degree price discrimination (FDPD). The (in- verse) market demand function for the good is given by P=10-bQ where P is price, Q is quantity and b> 0 is a constant. Let DL(Q) denote the deadweight loss at quantity Q, and let CS(Q) denote the consumer surplus at Q. (a) Under FDPD, the marginal revenue function of the monopolist is the same as the market demand function. Is this true or false? Explain carefully.Give typing answer with explanation and conclusion A monopolist faces market demand given by P = 1000 – 10Q. For this market, MR = 1000 – 20Q, MC = 100 + 10Q and ATC = 100 + 5Q. If the monopolist does not price discriminate, what is the value of consumer surplus?9. A monopolist produces a good at a constant marginal cost of 4. Suppose the monopolist is able to practice first-degree price discrimination (FDPD). The (in- verse) market demand function for the good is given by P-10-bQ where P is price, Q is quantity and b>0 is a constant. Let DL(Q) denote the deadweight loss at quantity Q, and let CS(Q) denote the consumer surplus at (a) Under FDPD, the marginal revenue function of the monopolist is the same as the market demand function. Is this true or false? Explain carefully. (b) Let Q be the monopolist's optimal quantity under FDPD. Calculate the value of CS(Q) - DL(Q). (c) Suppose a regulator imposes a per-unit tax of t on the monopolist and re- distributes tax revenue to consumers, so that tax revenue becomes part of consumer surplus. Let Q; be the monopolist's optimal quantity under FDPD given a per-unit tax of t. Calculate the value of t that maximises CS(Q)-DL(Q).
- 1) Suppose that a monopolist producing bicycles can divide the aggregate demand into two groups: The domestic market and the foreign market. The demand curve for the monopolist's product in the domestic market is yı=1200-10p¡ and the demand foreign market is y2=800-10p2. The monopolist's total cost function is given by C(y)= 50y where y=yi+y2. curve for the monopolist's product in the a) Assume that the monopolist does not practice price discrimination. Calculate his/her profit-maximizing price-quantity combination and the maximum profit. b) Assume that the monopolist practices third-degree price discrimination. Calculate his/her profit-maximizing price-quantity combination and the maximum profit in each market.A monopolist with constant marginal cost of $4 faces demand Qp-24-2P. This implies that the inverse demand curve is P-12-Qp/2 and that the marginal revenue is MR-12-Qp. Suppose that there is a price ceiling set at $6. As a result of the price ceiling, the deadweight loss in the market will: OA) Decrease by 16 B) Decrease by 12 OC) Not change, because it is not a binding price ceiling. OD) Increase by 12 OE) Increase by 164) 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.
- A monopolist faces a demand curve P = 100 – 4Q and initially faces total costTC = 12Q. (a) Calculate the profit-maximizing monopoly quantity and price, and compute the monopolist's total revenue and profits at the optimal price. (b) Suppose that the monopolist's total increases to TC = 44Q. Verify that the monopolist's total revenue goes down. c) Suppose that all firms in a perfectly competitive equilibrium had a combined total cost T C = 12Q. Find the long-run perfectly competitive industry price and quantity. Also what are the combined industry profits and revenue. (Hint: the supply curve is just the marginal cost) (d) Suppose that all firms' total costs increased to T C = 44Q. Verify that the increase in marginal cost causes total industry revenue to go up.5) A monopolist sells its product to two countries, labeled 1 and 2. The inverse demand curves in these countries are p1 = 100 – Q, and p2 = 120 – 3Q2. respectively. The monopolist's cost function is C(Q) =02, where Q = Q1 + Q2- a) Find the aggregate demand function and the associated inverse demand function for p < 100. Write down the monopolist's profit function and proceed to find its profit-maximizing output and profit. Calculate the equilibrium price the monopolist would charge in each country. Also calculate the output it would supply to each country. b) c)Suppose you are a monopolist in the market for a specific Q video game. Your demand curve is given by P = 80- - and 2 your marginal cost curve is MC = Q. Your fixed cost is $400. i) Derive the marginal revenue curve. ii) Calculate the equilibrium price and quantity. iii) What is the profit?
- A monopolist can produce at constant average total and marginal cost of ATC = MC = $20. (Constant ATC = MC implies that there are no fixed costs.) The firm faces a market demand curve given by QD = 40 - P. The monopolist's marginal revenue curve is given by MR = 40 - 2QD. Graph this situation, then calculate the monopolist's profit-maximizing price-quantity and the monopolist's profits. What output level would be produced by a corresponding perfectly competitive industry? What would be the price level? Calculate the "deadweight losses" from monopolization of the industry. Show the DWL on the graph.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)?The inverse demand function of a monopolist is p(y) = 12 – y, and total costs is C(y)= y2 -20y +10. a. What is the profit-maximizing level of production? b. Suppose the government decides to tax the monopolist so that for each unit the monopolist sells it has to pay a tax of $2. What is the optimal output under this tax? c. Suppose the government now imposes a tax of 10% on the monopolist’s profits. What is the optimal output under this tax?