Suppose the market demand for a homogeneous product is given by P = a-bQ, where a and b are positive constants. There are n identical firms, each of which is capable of producing the product at constant marginal cost c> 0. Assume c

Suppose the market demand for a homogeneous product is given by P = a-bQ, where a and b are positive constants. There are n identical firms, each of which is capable of producing the product at constant marginal cost c> 0. Assume c

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter25: Monopoly

Section: Chapter Questions

Problem 9E

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2. Consider a quantity competition setup with two firms simultaneously choosing the quantities. Themarket demand function is given by P = 100 − Q. The total cost function of a firm is given by T Ci = F + 10qi if qi > 0 0 otherwise. (a) For what value of the fixed cost F, we are going to have multiple equilibrium? (b) For what values of the fixed cost F, we are going to have at least one firm producing zero quantityas an equilibrium?
Consider a competitive industry with a large number of firms, all ofwhich have identical cost functions c(y) = y2 + 1 for y > 0 and c(0) = 0. Supposethat initially the demand curve for this industry is given by D(p) = 52 − p.(a) What is the supply curve of an individual firm?(b) If there are n number of firms, what is the industry supply curve?(c) What is the smallest price at which the product can be sold?(d) Based on your answers to parts (a)-(c), explain in detail theequilibrium points based on the market activity with respect to the price, firmand industry.
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
2. Suppose that a market consists of 650 idetical fims, all with the same cost curve: TC(q) = 325q² + 0.3. The market demand is given by Qd(p) = 50 – p (a) What is the equilibriun price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do fims make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus. (e) The government imposes a tax of 12 per unit of the product on the suppliers. What will be the new equilibrium price and quantity? (f) Do firms make positive profits at market equilibrium? (g) What will be the new consumes surplus, produces surplus and total surplus? (h) Calculate the value of the DWL imposed by the tax.
The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC АТС of Ear Buds ($) ($) 9.00 - 10 2.00 5.50 15 2.44 4.48 20 3.56 4.25 25 4.50 4.30 30 5.02 4.42 35 5.96 4.64 40 8.56 5.13 Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? pairs b. At the profit-maximizing quantity, what is the total cost of producing ear buds? c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? 2$ d. Now assume the market price is $5.50 per pair, and Buddies produces the…
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?
The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs MC ($) Quantity of Ear Buds 5 10 15 20 25 30 35 40 2.00 2.45 3.55 4.00 5.50 5.98 8.52 pairs ATC ($) 2.00 2.00 2.15 2.50 2.80 3.25 3.64 4.25 Check my work Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? b. At the profit-maximizing quantity, what is the total cost of producing ear buds? c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? d. Now assume the market price is $5.50 per pair, and Buddies produces the…
5. The market demand for leather handbags is given by the function P = 75 - 1.5Q. P is priceper handbag, and Q is output per time period.The market supply is given as P = 25 + 0.50Q. A typical competitive firm that markets thistype of bag has a marginal cost of production of MC = 2.5 + 10q. [4]a) Calculate the market equilibrium price for the bags as well as the output rate in themarket.b) Calculate how much the typical firm will produce per time period at the equilibriumprice.c) If all firms had the same cost structure, how many firms would compete at theequilibrium price computed in (a) above?
a. The charged is determined by the market equilibrium. For a perfectly competitive firm, it is depicted as a horizontal line on the firm level graph, and also equals demand and marginal revenue (D=MR). minimum ATC profit-maximizing output losses profits ATC at profit-maximizing output price c. The is one of the pieces of information needed to calculate profits/losses for the firm. It can be found once quantity produced is chosen by a firm. Graphically, it is the point on the average total cost curve once this choice is made. It also helps determine two vertices of the profit/loss rectangle. minimum ATC ATC at the profit-maximizing output profit price profit-maximizing output quantity at minimum ATC b. The chosen by a firm will be determined by the intersection of the firm-level demand curve and the marginal cost curve (which is their firm level supply curve). minimum ATC losses price ATC at the profit-maximizing output profits profit-maximizing output d. can be calculated as (P - ATC)…
A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.
Consider the market for solar power. Assume the market is perfectly competitive and initially in long-run equilibrium; solar power sells for $.25 per kwh (kilowatt hour, a unit of power). Draw2graphs, oneto represent the market (supply and demand), and one to represent asingle firm (demand, marginal cost, and average cost curves). Assume a u-shaped average cost Show the equilibrium price and the quantity produced by the market (Q) and by each individual firm (q).
The diagram illustrates the demand curve, isoprofit curves and the marginal cost curve of MQ2020, a luxury car manufactured by MQ Motors. Assume that MQ Motors currently chooses to operate at Point E. Which statement correctly describes the market of MQ2020? 10,000 Price, marginal cost ($) 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*.