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- Imagine there is a firm that only uses labor to produce goods and that its production function is given by Y(L)=5L-L^2. The price of the firm’s output is equal to 1. Let’s assume the firm is a price taker on the product market but is a local monopsony for employment. Imagine that its marginal cost is given by 2+L. Imagine that labor supply is given by 1+L How much labor does the firm want to use? What will be the wage it pays? How many people will work if the government imposes a minimal wage of 2.25? How will this affect the firm’s profit? Calculate and compare before and after the introduction of the minimum wage.Suppose that the production function of a salmon farming firm is given by F(L) = 4*root(L) and it faces a price for its product of P = 200. Moreover, the firm acts as a monopsony in the labour market - located in a small town in the south - and the supply curve is w(L) = 3 + L. We ask: (a) Determine the output and level of hiring. (b) How many workers should this firm hire from the point of view of the social optimum?B. Consider a firm who sells output at p=10 and has a short run production function Q(L)=20L-L2. Its wage rate function is w=40+2.5L. How much wage will it pay?
- A. Consider a firm who sells output at p=10 and has a short run production function Q(L)=20L-L2. Its wage rate is w=40. 1. Suppose the fırm sells in a perfectly competitive market and is a price taker in the input market, how much labor will it hire to maximize profits? 2. How much wage will it pay? 3. Show the graph of the profit-maximizing level of L and w solved in 1&2.3. A monopsonist's inverse demand for labor can be written as D-1(w) = VMP(E) 0.005ED. Labor is supplied to the firm according to the inverse supply function S-(w) s(E) = w = 5+0.01E,. = 40 – (a) Assume that it is a short-run problem and state the monopsonist's PMAX problem mathematically. (b) Define the monopsonist's cost and find the marginal cost. (c) How much labor does the monopsony firm hire? At what wage rate does it hire workers? (d) How much labor would the monopsonist approximately hire if it hired as if a perfectly competitive firm does? At what wage rate would it hire workers approximately? (e) Draw a graph. (f) Approximately calculate producer surplus (PS), worker surplus (WS), and dead weight loss (DWS) for (Emono: Wimono) and (E*, w*). State the implication of this exercise. (g) How much labor does the monopsony firm hire and at what wage when it must pay when it must pay a minimum wage of $25? State the implication of this exercise.Consider a firm that sells output at P = 5 and has a short-run production function:Q(L) = 20L − L^2. Its wage rate function is w = 40 + 2L. - Suppose the firm is a monopsonist, how much labor will it hire to maximize profits?How much wage will it pay?- Solve for the rate of monopsonistic exploitation.- If instead, the firm is operating in a perfectly competitive market, how much laborwill it hire to maximize profits? How much wage will it pay?
- A. Consider a firm who sells output at p=10 and has a short run production function Q(L)=20L-L². Its wage rate is w=40. 1. Suppose the firm sells in a perfectly competitive market and is a price taker in the input market, how much labor will it hire to maximize profits? 2. How much wage will it pay? 3. Show the graph of the profit-maximizing level of L and w solved in 1&2.Consider a firm which produces q units of output using L units of labour and whose market demand for labour is given by L* = 57- w/(14p), if w/(14p)<57 and L*=0, otherwise where p denotes the price of output and w denotes the price of labour. What is the change in the profit of the firm if the price of labour changes from w= 1 to w = 4 assuming the price of output is p=57？Consider a firm that sells its output in a perfectly competitive product market and hires labour in a perfectly competitive labour market. The value of the marginal product of labour (in pounds) is given by: VMPE=20-5E Assuming that the firm is a profit maximiser and can hire labour at £W per unit, derive its labour demand function. Given that there are 50 identical firms (like the firm described in (b)) in the industry, find the market labour demand. If the supply function of labour to this market is: WS=30W
- A. Consider a firm who sells output at p=10 and has a short run production function Q(L)=20L-L2. Its wage rate is w=40. Suppose the firm sells in a perfectly competitive market and is a price taker in the input market, how much labor will it hire to maximize profits?Suppose that the supply and marginal revenue product of labour curves faced by a monopsonist are as follows: Supply with Min Wage Units of Labour Supply MRPN MC MC with Min Wage (N) 1 5.00 8.00 5.20 7.50 3 5.45 7.00 4 5.70 6.45 6.00 6.05 6. 6.30 5.50 7 6.65 4.90 7.00 4.00 a) Maintain the assumption that firms can not price discriminate in the input market and fill in the firm's Marginal Cost (MC) table. b) How many workers will the monoposonist hire and what would the wage be? How many workers would have been hired and at what wage if this were a perfectly competitive market? c) Suppose now the province introduces a new minimum wage policy which sets the minimum wage at $6. Fill in the monopsonist's supply and marginal cost tables with the minimum wage. d) What will happen to the number of workers hired with the introduction of this minimum wage?Consider a monopsonist that hires 4.28 units of labor at a wage of 19.26. If the marginal value placed on the last worker hired is 41.22 a.) what is the elasticity of labor supply for this monopsonist?
