6. The production function of a firm, which operates as a monopoly in both the product and factors market, is Q = 4L. The demand function for its product is Q = 100-P, and the labour supply function it faces is L = 0.5W - 20. (a) What is the firm's profit-maximising level of labour employment, L? What is the wage rate, W? (b) (c) What is profit-maximising level of output, Q? (d) And what is the product price, P?
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- A monopoly’s production function is Cobb-Douglas, Q = L1/2K1/2, where L is labor and K iscapital. The demand function is p = 100 – Q. The wage, w, is $1 per hour, and the rental cost ofcapital, r, is $4.a. What is the equation of the (long-run) expansion path? Illustrate in a graph.b. Derive the long-run total cost curve equation as a function of q.c. What quantity maximizes the firm’s profit? And what is the price at this level?d. Find the optimal input combination that produces the profit-maximizing quantity.Illustrate with a graph14. A Sixteen Tons Question: A coal mine in a small town is a monopsony with a supply of labor function given by w = 4L. Its production function is given by Q = ½L. The coal it produces is sold in a PC market at a price of $32. A) What is this monopsony’s MFC function? B) How much labor will the mine hire and what will be the wage?A pure monopsony buyer of a resource, in this case, labor L, has a marginal value curve for labor expressed as MV=140-0.4L Its total expenditure function is TE=20L+0.1L2 a) Suppose the firm acts as a monopsonist, What wage will it pay workers and how many hours of labor will the firm hire b) what is the value of deadweight loss given the firm is acting as a monopsonist?
- A firm produces output, measured by O, which is sold in a market in which the price P=20. The output is produced using only labor as an input; the production function is Q(L) = L. There are many suppliers of labor, and the supply oflabor is determined by W= 2L, where w is the wage rate. The firm is a monopsonist in the labor market.a) How many units of labor will be hired by the monopsonist? What wage rate will the monopsonist pay? What is the monopsonist's profit?b) If the firm behaves like a firm in a perfectly competitive marker, how many units of labor will the firm hire and what wage the firm will pay? What is the firm's profit?c) What is the dead weight loss ofmonopsony?Give the production function: Q(K,L) = L + K2a. Find the total cost function (TC) if w = $2 (wage price) and r = $20 (capital price).b. If the market function of demand is q = 45 - 3p/2, what price will you charge if the firm acts as a monopolist? Find also the optimal quantity of output, surplus, and profit.c. If it is a perfectly competitive firm, how much will it produce and at what price? Find the surplus and the loss due to economic inefficiency generated by the monopoly.d. Represent graphically situations b. and c.Suppose the long-run marginal cost for a firm is given by MC= x^2 - 2x+5 , where x is the quantity supplied by the firm. Demand for the industry’s product is given by Q= 200-2p, where Q is quantity demanded and p is price. Consider two possibilities: (1) The industry is perfectly competitive ,or (2) the industry is an unnatural monopoly that operates at a single price. (a) What will the amounts of firm and industry output (x, Q) be under each form of industrial organization? (b) How much would a firm be willing to pay to obtain the right to act as a monopoly in this industry? Please show your work. (c) What is the dollar amount of deadweight loss from the monopoly? Please show work for each part.
- Please give a neat and step-by-step solution. Question: TC = 500 + WL ( where TC is the Total Cost, 500 is the Fixed Cost, W is the wage and L is the Labor). What will be MC (Marginal Cost) if Q (Quantity / Output) from Q* (Quantity at Market Price) to 1.2Q*, given the workers' number increased from 5 to 8, however, wage rate remains the same at W=10. What will be the marginal productivity? If the market becomes a monopoly, what will happen to the market price, market quantity, and social welfare?A manufacturing company has a monopoly on the production. A single (individual) manufacturer demand for mixer is Q = 4 − P. The marginal cost of producing mixer is $1. Solve the following: 1. Profit-maximizing monopoly, quantity, price, and profit from serving this single concrete contractor.2. What would the quantity be if the Manufacturing company serves 100 mixercontractor identical to this one?Which of the following statements about a monopoly is true? (a) The monopolist has a flat demand curve because of high barriers to entry.(b) For a monopolistic firm, profit will be maximised where price = marginalrevenue.(c) In the long run, a monopolist can earn only normal profits.(d) Price, in the long run, is not usually equal to the minimum average totalcost.Q.1.19 Which of the following will NOT shift the market supply of labour curve? (a) A change in the wages of the labourers.(b) A change in migration.(c) A change in the size of the population due to a change in birth or deathrates.(d) Trade union action.
- Consider a natural monopoly with large fixed costs and a constant marginal cost of production, such as supplying water to household. Which condition can be used to regulate such a natural monopoly to ensure that the firm continues to operate while maximizing consumer surplus? Question 23Answer a. Demand = Average Cost b. Demand = Marginal Cost c. Marginal Cost = Marginal Revenue d. Price = Marginal Cost e. Price = Marginal RevenueAssume the following equations describe the conditions for a monopoly: Qd = 2,000 - 100P TC = 3,500 + 5q + .005q2 Where Qd is the quantity demanded, P is the commodity's price in dollars, TC is the firm's total cost in dollars and q is the quantity of output produced. Based upon these equations, answer the following questions: a. What is the firm's equation for total revenue expressed as a function of quantity? b. What is the firm's equation for marginal revenue expressed as a function of quantity? What is the firm's equation for marginal cost expressed as a function of quantity? c. What is the firm's profit maximizing quantity of output? d. What price will the firm charge for the commodity? e. What would be the socially optimal quantity of output? f. What price would regulators have to establish in order to have the firm produce the socially optimal quantity of output?Don't use pen or paper A monopoly firm faces the following average revenue (demand) curve: P = 360 − 0.04Q where Q denotes the output and P is the price, measured in dollars The firm’s cost function is given by C = 60Q + 5000. Assume that the firm maximizes profits. The marginal cost (MC) of production is $60. question: Can you calculate the deadweight loss (i.e., the efficiency loss) generated in this monopoly market? Group of answer choices $281250 $150000 $252800 $210825