Workers come in many different types, or productivities. The productivity of a worker is given by where is distributed uniformly on the interval 0 ≤ 0 ≤ 2. When a firm hires a worker with productivity, the firm can produce units of output and earn po in revenue, where p < 2. Each worker can choose to work for the company, or can seek employment elsewhere that gives the worker a wage 0³ (a) If the firm pays a wage w, which types of workers want to work for the firm? (b) What is the average output of the workers hired by the firm and what is the average output of those who don't work for it? (c) If the firm is a monopsony purchaser of labour, what wage would it set to maximise its profits. What is the employment level?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Workers come in many different types, or productivities. The productivity of a worker is given by
O where 0 is distributed uniformly on the interval 0 < 0 < 2. When a firm hires a worker with
productivity 0, the firm can produce 0 units of output and earn pe in revenue, where p < 2. Each
worker can choose to work for the company, or can seek employment elsewhere that gives the worker
a wage 03.
(a) If the firm pays a wage w, which types of workers want to work for the firm?
(b) What is the average output of the workers hired by the firm and what is the average output of
those who don't work for it?
(c) If the firm is a monopsony purchaser of labour, what wage would it set to maximise its profits.
What is the employment level?
(d) If the firm is in a perfectly competitive industry what will the wage be?
(e) An educational establishment opens up. It will test the workers for free and only workers with
0 2 1 pass the test. The company decides to offer a different wage to workers who pass the
test. What wage would a perfectly competitive firm be prepared to offer to workers who pass
the test?
(f) How will your answer change if workers must pay to take the test?
Transcribed Image Text:Workers come in many different types, or productivities. The productivity of a worker is given by O where 0 is distributed uniformly on the interval 0 < 0 < 2. When a firm hires a worker with productivity 0, the firm can produce 0 units of output and earn pe in revenue, where p < 2. Each worker can choose to work for the company, or can seek employment elsewhere that gives the worker a wage 03. (a) If the firm pays a wage w, which types of workers want to work for the firm? (b) What is the average output of the workers hired by the firm and what is the average output of those who don't work for it? (c) If the firm is a monopsony purchaser of labour, what wage would it set to maximise its profits. What is the employment level? (d) If the firm is in a perfectly competitive industry what will the wage be? (e) An educational establishment opens up. It will test the workers for free and only workers with 0 2 1 pass the test. The company decides to offer a different wage to workers who pass the test. What wage would a perfectly competitive firm be prepared to offer to workers who pass the test? (f) How will your answer change if workers must pay to take the test?
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