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- A Los Angeles firm uses a single input to produce a recreational commodity according to a production function f(x)=4x1/2, where x is the number of units of input. The price of the commodity is $100 per unit, and the input cost is $50 per unit. The fixed costs are zero. A: Write down the firm’s profit function. C:Find the profit maximizing amounts of input and output. What is the maximum profit? C:Suppose that the firm is taxed at $20 per unit of its output (note it is a quantity tax) and the price of its input is subsidized by $10 per unit. What is the new input and output levels? What is the new maximal profit?In a monopoly market, you have an inverse demand function P=a-bQ, where Q is total market production and a and b are positive constants. Assume marginal costs of production are a positive constant c. Obtain the marginal revenue of this firm. Explain why it is different from that of a perfectly competitive firm. Calculate the lump sum tax which would induce this monopoly firm to exit the market. Calculate the incentive this monopoly would have to invest in a process innovation. Assume this monopoly has found a way to divide their consumer base into two identifiable groups. Discuss the impact this would have on the prices consumers pay.Let be a monopoly whose total cost function is such that C(Q) = 2Q. The (inverse) demand in this market is given by P(Q) = 16 - Q. Which one is right ? a. If the monopoly maximizes its profit, Dead load of the monopoly is 32.5 b. If the monopoly maximizes its profit . Dead load of the monopoly is 24.5 c. If the monopoly maximizes its profit. Dead load of the monopoly is 35 d. None of these statements is correct e. If monopoly maximizes its profit The dead load of monopoly is 28.5
- Suppose that the inverse demand for a downstream firm is P = 150 - Q. Its upstream division produces a critical input with costs of CU(Qd) = 5(Qd)2. The downstream firm's cost is Cd(Q) = 10Q. When there is no external market for the downstream firm's critical input, the downstream firm should produce: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?T/F Monopoly market is a macroeconomic concept.
- Assume inverse demand function for game console in an imaginary country is P=1200-4Q and the total cost function is TC=400+4Q2. Government put $120 of specific tax on production. If the market is competitive what is the incidence of tax on consumer? If the market is monopolist what is the incidence of tax on consumer?A monopolist faces two geographically distinct markets, say market 1 is New York and market2 is California. The inverse demand curves in each market are P1 = 300 – Q1 and P2 = 200 – Q2. Themonopolist’s total cost function is C(Q) = 0.5Q^2 + 50Q and marginal cost function is MC(Q) = Q + 50,where Q = Q1 + Q2 is the total quantity that it produces. Your job is to find out how much quantity to sellin each market in order to maximize profit.a) Carefully express this monopolist’s profit maximization problem.b) State the two equations that characterize the profit-maximizing amounts of Q1 and Q2, given an interiorsolution with positive quantities sold in each market.c) Solve these two equations for Q1* and Q2*.d) Find the prices P1* and P2* that the monopolist should charge in each market.Producer surplus will be the same in a monopoly and in a competitive market if aggregate demand and cost functions are identical in both markets. (a) True. (b) False.
- Labour Demand with Monopsony in the Labour Market and Monopoly in the Output Market in the Short Run. You are the manager of a business that operates as a Monopolist in the output market, and it is a Monopsonist in the local labour market. The production function of the business is given by: Q=4L In the production function, Q is output, L is the number of workers employed, As a Monopolist, the firm faces a market demand given by: P = 100-Q As a Monopsonist the firm faces a supply of labour given by the expression: w = 8L a) Calculate the equilibrium number of units of labour employed in short run. b) Briefly discuss the advantages for a firm of being a Monopolist in the output Market and a Monopsonist in the Labour Market and try to find a real life example of a firm that can modeled as a Monopolist/ Monopsonist. c) What have you learn from doing or thinking about this problem?assume that a firm has a monopoly power in the product market and faces perfect competition in the factor market. if the price elasticity of demand for the product of the firm is -4 and the VMPL is 40, then, the MRPL is?You own a road resurfacing business called Rockit Asphalting services located in Kingston. You are the only reservicing business in Southern Tasmania. Therefore, you have a local monopoly. Your experience running the company for many years has taught you that market demand for your service can be described by the demand function: p = 20 − q. The cost function is c = q2. Therefore, marginal cost equals 2q. Quantity refers to square metre of road resurfacing. Note the Q denotes aggregate market demand and q denotes your production. Of course, if you are the only supplier than q = Q. Compute profit maximising price and output. Compute profits. The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in Southern Tasmania and compete for market share. You are concerned with losing market share and profit. So, you offer the potential entrant the following deal. Both firms agree to maximise industry profits (joint…