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- 4.5 Show that the long-run equilibrium number of firms is indeterminate when all firms in the industryshare the same constant returns-to-scale technology and face the same factor prices.4.7 Technology for producing q gives rise to the cost function c(q) = aq + bg. The market demand forqisp =a - Bq.(a) If a>0, if b < 0, and if there are J firms in the industry, what is the short-run equilibriummarket price and the output of a representative firm?b) Ifa> 0 and b <0, what is the long-run equilibrium market price and number of firms? Explain.() Ifa>0and b > 0, what is the long-un equilibrium market price and number of firms? Explain.Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms. PRICE (Dollars per pound) 100 90 80 70 80 50 40 30 20 10 0 0 125 250 375 500 825 750 875 1000 1125 1250 QUANTITY (Thousands of pounds) Demand Because you know that competitive firms earn Supply (10 firms) True Supply (15 firms) If there were 10 firms in this market, the short-run equilibrium price of rhodium would be $ would . Therefore, in the long run, firms would False Supply (20 firms) per pound. From the graph, you can see that this means there will be ? per pound. At that price,…Short-run supply and long-run equilibrium Consiber the competitive market for rhodium. Assume that no matter how many firms operate in the induatry, every firm is identical and faces the same marpinal cost (MC), averapt total cost (ATC), and average variable cost (AVC ) curves plotted in the following praph. The following graph plots the market demand curve for thodium. If there were 10 firms in this market, the short-run equilibrium price of rhodium would be per pound. At that price, firms in this industry would. Therefore, in the long run, firms would the rhodium market. Because you know that competitive firms earn economic profit in the long run, you know the long-run equilibrium price must be per pound. From the graph, you can see that this means there will be firms operating in the rhodium industry in long-run equilibrium. True or False: Assuming implicit costs are positive, each of the firms operating in this industry in the long run earns positive accounting profit. True False
- Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD Demand :P =1000-10Q Total Revenue : TR=1000Q-10Q2 Marginal Revenue: MR=1000-20Q Marginal Cost: MC=100+10Q Where Q indicates the number of copies sold and P is the price in Ectenian dollasrs. a. Find the price and quantity that maximize the company's profit b. Find the price and quantity that would maximize social welfare c. Calculate the deadweight loss from monpoly. d. Suppose in addition to the costs above. the director of the film has to be paid. The company is considering four options i. a flat fee of 2000 Ectenian dollars ii. 50 percent of the profits. iii. 150 Ectenian dollars per unit sold iv. 50 percent of the revenue. For each option, calculate the profit-maximizing price and quantity. Which if any of these compensation schemes would alter the deadweight loss from monopoly. Explain.The diagram illustrates the demand curve, isoprofit curves and the marginal cost curve of MQ2020, a luxury car manufactured by MQ Motors. Assume that MQ Motors currently chooses to operate at Point E. Which statement correctly describes the market of MQ2020? 10,000 Price, marginal cost ($) A P = $5,440 Po B 0 0 E 10 20 Q" = 32 D Qo Quantity of cars, Q Select one: a. Producer surplus is $63,360 as it equals MQ Motors' profits. Marginal cost Isoprofit curve: $150,000 Isoprofit curve: $63,360 Demand curve 120 O b. The amount of consumer surplus is the area ADP o. c. The amount of total surplus is the area ABD. Od. All possible gains from trade are being achieved as MQ Motors operates at its profit-maximising output and price. O e. The amount of MQ Motors' producer surplus is the area BCEP*.Suppose that each firm in a competitive industry has thefollowing costs: Total cost: TC=50 + 1/2q^2 Marginal cost: MC=q where q is an individual firm’s quantity produced. The marketdemand curve for this product is Demand: QD = 120 – P where P is the price and Q is the total quantity of the good.Currently, there are 9 firms in the market. a. What is each firm’s fixed cost? What is its variable cost?Give the equation for average total cost. b. Graph average total cost curve and the marginal cost curvefor q from 5 to 15. At what quantity is average total cost curve atits minimum? What us marginal cost and average total cost at thisquantity? c. Give the equation each firm’s supply curve. d. Give the equation for the market supply curve for the shortrun in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market inthe short run? f. In this equilibrium, how much does each firm produce?Calculate each firm’s profit or loss. Is there incentive for…
- Suppose there are 500 identicsl competitivd firms producing widgets and assume the total cost curve for each firm is given as, TC= 5q2+wq+10 and marginal cost is given as MC=10q + w where w is the widget maker's wage and q is the firm's output. If w=$50 what is the equation of the firms short run supply curve? 1) what is the average firm's profit (losses) at the new price of $61? 2) is the average firm in the short-run or long run? given it's profit(losses) should the firm continue to operate? 3) what would you predict, based on the perfectly competitive model of markets, will happen in this industry in the long run?A friend has just started up her own business. Her firm asks you how much to charge for her product to maximize profits. The demand schedule for it is given by the first two columns in the table below; its total costs are given in the third column. For each level of output, you can calculate total revenue, marginal revenue, average cost, and marginal cost. The profit-maximizing level of output can be found at the point where TR - TC is greatest, or where MR = MC, (or the last quantity where MR is still greater than MC.) What is the profit-maximizing level of output for her product? 40 How much will she earn in profits? 80 Price Quantity TC TR? MR? MC? $25.00 0 $130 $24.00 10 $275 $23.00 20 $435 $22.50 30 $610 $22.00 40 $800 $21.60 50 $1,005 $21.20 60 $1,2252. In the competitive mink oil industry, each fim has the same cost function: C = 10,000 100 + 0.01q. Demand for mink oil is as follows: Q = p2 What will be the long-run equilibrium price and quantity in the market? How many fims are in the industıy?
- Evaluate the following Since a rival s profit maximizing price Evaluate the following: “Since a rival’s profit-maximizing price and output depend on its marginal cost and not its fixed costs, a firm cannot profitably lessen competition by implementing a strategy that raises its rival’s fixed costs.” Evaluate the following Since a rival s profit maximizing priceSuppose that you are a manager for a firm like EBC Brakes, which manufactures brakes for automobiles and motorcycles. Your company has two plants, one in the United States and the other in the United Kingdom. The following tables include estimated demand and marginal revenue for your brakes, along with the marginal costs at the two factories. what quantity and price maximize your firms profit? What is the profit – maximizing number of brakes produced in the U.S. plant? In the U.K. plant? Quantity Demanded (brakes per hour) Price (dollars per brake) Quantity Produced in the U.K. plant (brakes per hour) Quantity Produced in the U.S. (brakes per hour) Total Quantity Produced Marginal Cost (dollars per brake) Marginal Revenue (dollars per brake) 104 196 47 42 89 66 92 105 195 48 44 92 68 90 106 194 49 46 95 70 88 107 193 50 48 98 72 86 108 192 51 50 101 74 84 109 191 52 52 104…Mondi Company produces party boxes that are sold in bundles of 1000 boxes. The market is highly competitive, with boxes currently selling for R100 per thousand. The company has a total and marginal cost curve given by: TC = 3,000,000 + 0.001Q2 MC = 0.002Q Q is measured in thousand box bundles per year. [5] a. Determine Mondi's profit maximizing quantity. b. Calculate if the firm is earning a profit or a loss? c. Based on the analysis above, should Mondi Company operate or shut down in the shortrun?