4) The demand for labor by an industry is given by the curve L = 1200 - 10w, where L is the labor demanded per day and w is the wage rate. The supply curve is given by L = 20w. What the equilibrium wage rate and quantity of labor hired? What is the economic rent earned by workers? 5) Using the same information as in Exercise 4 above, suppose now that the only labor available is controlled by a monopolistic labor union that wishes to maximize the rent earned by union members. What will be the quantity of labor employed and the wage rate? How does your answer compare with your answer to Exercise 8? Discuss. 6) Suppose gold (G) and silver (S) are substitutes for each other because both serve as hedges against inflation. Suppose also that the supplies of both are fixed in the short run (QG = 75 and Qs = 300) and that the demands for gold and silver are given by the following equations: PG=975-QG +0.5PS and What are the equilibrium prices of gold and silver? Ps= 600-Qs+ 0.5PG.

4) The demand for labor by an industry is given by the curve L = 1200 - 10w, where L is the labor demanded per day and w is the wage rate. The supply curve is given by L = 20w. What the equilibrium wage rate and quantity of labor hired? What is the economic rent earned by workers? 5) Using the same information as in Exercise 4 above, suppose now that the only labor available is controlled by a monopolistic labor union that wishes to maximize the rent earned by union members. What will be the quantity of labor employed and the wage rate? How does your answer compare with your answer to Exercise 8? Discuss. 6) Suppose gold (G) and silver (S) are substitutes for each other because both serve as hedges against inflation. Suppose also that the supplies of both are fixed in the short run (QG = 75 and Qs = 300) and that the demands for gold and silver are given by the following equations: PG=975-QG +0.5PS and What are the equilibrium prices of gold and silver? Ps= 600-Qs+ 0.5PG.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter12: The Partial Equilibrium Competitive Model

Section: Chapter Questions

Problem 12.5P

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Table 14.13 shows information from the supply curve for labor for a monopsonist, that is, the wage rate required at each level of employment. What is the monopsonists marginal cost of labor at each level of employment? If each unit of labors marginal revenue product is 13, what is the firms profit maximizing level of employment and wage?
What determines the demand for labor for a firm operation in a perfectly competitive out market?
What determines the demand for labor for a firm with market power in the output market?
A firm faces a perfectly elastic demand for its output at a price of $6 per unit of output. The firm, however, faces an upward-sloped labor supply curve ofE = 20w - 120where E is the number of workers hired each hour and w is the hourly wage rate. Thus, the firm faces an upward-sloped marginal cost of labor curve ofMCE = 6 + 0.1EEach hour of labor produces five units of output. How many workers should the firm hire each hour to maximize profits? What wage will the firm pay? What are the firm’s hourly profits?
4 A production function is states as: 120Q1/3, with an output price of 25. Firms total revenue is stated as 11000Q1/2 with a labor supply of Q=15w. If you derive the monopsony equilibrium labor and monopsony wage what would they be.
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.
Suppose that the supply and marginal revenue product of labour curves faced by a monopsonist are as follows: Supply with Min Wage MC Units of Labour (N) Supply MRPN MC with Min Wage 1 5.00 8.00 2 5.20 7.50 5.45 7.00 5.70 6.45 5 6.00 6.05 6. 6.30 6.65 5.50 7 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?
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?
3. A monopsonist's inverse demand for labor can be written as D-'(w) = VMP(E) = 40 – 0.005ED. Labor is supplied to the firm according to the inverse supply function S-(w) s(E) = w = 5+ 0.01E3. %3D
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