9. Suppose that in the island country, there are a large number of identical firms. Bot the product market and the labor market are perfectly competitive. Each firm ha the following production function: q=√√√En + Ei + ln(5En + 5E; + 10) — In(10), where En is the employment of native workers and E; is the employment of migran workers. Which of the following statements is correct? (a) Native workers and migrant workers are perfect complements in the productio non! :.

Microeconomic Theory
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Chapter16: Labor Markets
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9. Suppose that in the island country, there are a large number of identical firms. Both
the product market and the labor market are perfectly competitive. Each firm has
the following production function:
q= √En + E + ln(5En + 5Ei + 10) – In(10),
where En is the employment of native workers and E; is the employment of migrant
workers. Which of the following statements is correct?
(a) Native workers and migrant workers are perfect complements in the production
process. A sudden increase in E; lowers native employment in the short run
as well as in the long run.
(b) Native workers and migrant workers are imperfect complements in the produc-
tion process. A sudden increase in E; lowers native employment in the short
run but not in the long run.
(c) Native workers and migrant workers are perfect substitutes in the production
process. A sudden increase in E; lowers native employment in the short run
but not in the long run.
(d) Native workers and migrant workers are perfect substitutes in the production
process. A sudden increase in E; lowers native employment in the long run
but not in the short run.
(e) Because of the increasing return to scale, a sudden increase in E; has no impact
on the labor market of this country.
Transcribed Image Text:9. Suppose that in the island country, there are a large number of identical firms. Both the product market and the labor market are perfectly competitive. Each firm has the following production function: q= √En + E + ln(5En + 5Ei + 10) – In(10), where En is the employment of native workers and E; is the employment of migrant workers. Which of the following statements is correct? (a) Native workers and migrant workers are perfect complements in the production process. A sudden increase in E; lowers native employment in the short run as well as in the long run. (b) Native workers and migrant workers are imperfect complements in the produc- tion process. A sudden increase in E; lowers native employment in the short run but not in the long run. (c) Native workers and migrant workers are perfect substitutes in the production process. A sudden increase in E; lowers native employment in the short run but not in the long run. (d) Native workers and migrant workers are perfect substitutes in the production process. A sudden increase in E; lowers native employment in the long run but not in the short run. (e) Because of the increasing return to scale, a sudden increase in E; has no impact on the labor market of this country.
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