A profit-maximizing monopolist finds that if it remains open, the best output is 50 a week, but at this output it would make a loss. Under what circumstances should it shut down? a) If AR at this output is below SAC. b) If AR at this output is below AVC. c) If MR at this output is below SAC.
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- Please no written by hand solutions The total cost (TC) of a monopolistic firm is a linear function of output (q), expressed as TC=20q. Market demand for the firm is p=100-2q. a. Determine the monopolistic firm's profit-maximizing output and price. b. Calculate the Lerner Index of the firm. c. Determine the Pareto optimal level of output and price, where the sum of producer and the consumer surplus is maximal. d. Calculate the consumer surplus, producer surplus, and deadweight loss (DWL) in the monopoly case. e. Calculate the loss of consumer surplus and gain of producer surplus due to the monopoly.1. Given the demand function Q = 500 − 3P − 2PA + 0.01Y where P = 20, PA = 30 and Y = 5000, find (a) the price elasticity of demand (b) the cross-price elasticity of demand (c) the income elasticity of demand.If income rises by 5%, calculate the corresponding percentage change in demand. Is the good inferior or superior? (d) A monopolistic producer of two goods, G1 and G2, has a total cost function TC = 5Q1 + 10Q2 where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P1 and P2 denote the corresponding prices then the demand equations are P1 = 50 − Q1 − Q2 P2 = 100 − Q1 − 4Q2Find the maximum profit if the firm’s total costs are fixed at Gh100. Estimate the new optimal profit if total costs rise to Gh101.2 A firm is a monopolistic producer of two goods G1 and G2. The prices are related to quantities Q, and Q, according to the demand equations P, = 50 - 0, P,= 95 – 30. If the total cost function is TC = Q; + 30.0. + Q show that the firm's profit function is *= 500, - 20 + 950, - 40 - 30.0. Hence find the values of Q, and Q, which maximize a and deduce the corresponding prices.
- A. To maximize profits, every firm should operate at theminimum point of its average total cost curves. Is thisstatement true or false? Explain.B. The demand for a monopolistically competitive firm'sproduct is generally more elastic than that for amonopolist's product? Is this statement true or false?Explain. PLEASE ANSWER A AND B1. The (inverse) demand curve for the services of Oakland Pest Control Co. (OPCC) is given by P= $1000 - 2Q, where P is in dollars, and Q is residences/month. The cost equation is given by C = 2000 + 30Q. a. Sketch and label OPCC's demand and marginal revenue curves, and determine the maximum revenue it can make. b. What are OPCC's profit-maximizing price and output levels? c. How much profit does OPCC make if it services 100 residences per month?Onestore has monopoly power in Smalltown. Assume that Onestore is a profit maximizing firm and currently operates at a negative economic profit in the short run.(a) Draw a correctly labelled diagram for Onestore and show each of the following:(i) The profit maximizing price and quantity labelled as Pm and Qm respectively (ii) Shade completely, the area representing the negative economic profit (b) Explain why Onestore continues to operate in the short run despite earning negative economic profit in the short run. c. A single price monopolist’s demand curve is given by:P = 240 – 3qand its total cost curve is given byTC = 30 + 6q Calculate the monopolist’s profit maximizing level of output Calculate the profit maximizing price for the monopolist What is the profit of the monopolist?
- 2) The Epson Company is a monopolist in the market and faces the demand curve shown in the figure below. The firm's marginal cost curve is MC= 100 +2Q. a. What is the firm's profit-maximizing output and price? Price ($/unit) 400 0 D 200 Quantity of printers (thousand) b. If the firm's demand changes to P = 300 - Q while its marginal cost curve remains the same, what is the firm's profit-maximizing level of output and price? How does this compare to your answer for (a)? c. Draw a diagram showing these two outcomes. Holding marginal cost equal, how does the shape of the demand curve affect the firm's ability to charge a high price? (bonus question 5 points)1. A monopolistic producer of two goods, G1 and G2, has a total cost function TC = 5Q1 + 10Q2 where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P1 and P2 denote the corresponding prices then the demand equations are P1 = 50 − Q1 − Q2 P2 = 100 − Q1 − 4Q2Find the maximum profit if the firm’s total costs are fixed at Gh100. Estimate the new optimal profit if total costs rise to Gh101.The below figure shows the demand and cost curves for a monopolistically competitive firm in the long run. The maximum economic profit this firm can make equal equals MC ATC 10 MR D. 12 16 20 24 Quantity funits per day) Price and costs (dollars per unit
- 2. Consider a monopolistic competitive industry with 4 firms producing the same good. The (inverse) demand for the good is given as: p=30-Q where is total units of the good produced by the firms: Q = Eq. Each firm chooses their output qi to maximize profits. The cost of producing q units of output is the same for all firms: C(qi) = 6qi for all i = 1, ..., 4. (a) Suppose all 4 firms choose their outputs at the same time (i.c., Cournot model), what will be the profit-maximizing outputs for each firm. [Note: Firms are iden- tical and face the same demand curve, hence model is symmetric]Problem 3 Suppose that a monopolistic seller of flux capacitors faces the inverse demand curve P = 40 - and that the monopolist can produce flux capacitors at a constant marginal and average total cost of $5. (a) How many units will an unregulated monopolist sell? 1 (b) Suppose that the government imposes a price ceiling of $6. Find the firm's marginal revenue of the 10th, the 68th, and the 69th unit. (c) How many units will a profit-maximizing monopolist sell when the price ceiling is in place? At what price? (d) Show in a graph the deadweight loss of unregulated monopoly and the deadweight losses with the price ceiling. Does the price ceiling improve social welfare?Suppose a representative monopolistic firm faces the following demand function: Pi = 20-2qi where pi is the real price and qi is the (real) output. Assume the firm's total cost function is: Ci= 4qi (a) Derive the marginal revenue function and the marginal cost function, respectively. (b) Find the profit maximizing output and real price. (c) If the expected price, Pe = 2, what profit maximizing nominal price the firm would set? Explain.