LABOR ECONOMICS
LABOR ECONOMICS
8th Edition
ISBN: 9781260004724
Author: BORJAS
Publisher: RENT MCG
Question
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Chapter 10, Problem 5P

(a)

To determine

Find the firm’s demand function for labor.

(b)

To determine

Identify the number of workers provided by the union, the wage set by the firm, output produced by the workers, profit earned by the firm, and total income of the 225 union workers.

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Consider a firm that faces a constant per unit price of $1,200 for its output. The firm hires workers, E, from a union at a daily wage of w, to produce output, q, w here q = 2E1/2 Given the production function, the marginal product of labor is 1/E1/2 . There are 225 workers in the union. Any union worker who does not work for the firm can find a nonunion job paying $96 per day. a. What is the firm’s labor demand function? b. If the firm is allowed to specify w and the union is then allowed to provide as many workers as it wants (up to 225) at the daily wage of w, what wage will the firm set? How many workers will the union provide? How much output will be produced? How much profit will the firm earn? What is the total income of the 225 union workers?
Suppose that a car factory initially hires 1,600 workers at $20 per hour and that each worker works 40 hours per week. Then the factory unionizes, and the new union demands that wages be raised by 25 percent. The firm accedes to that request in collective bargaining negotiations but then decides to cut the factory’s labor force by 30 percent due to the higher labor costs.
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?
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