A firm has the following production function: Y=AK0.5N0.5 a. After explaining what A represents, find the labour demand of this firm if A=2 and K=25. b. Suppose that the government decides to put a tax on revenues equal 10%. Find the new labour demand. What will be the effect of this tax on the equilibrium wage, assuming all firms have this production function? Use a graph to illustrate your answer. c. Suppose that a new technology allows the firm to use half of the worker and capital to produce the same quantity (that is A is now 4!). The government is concerned that now firms will fire a massive amount of their workforce and it decides to ban the new technology. Was it a correct fear? Show what would have happened. d. What would have been the impact of the new technology on the capital desired and investment of the firm? Explain.
A firm has the following production function: Y=AK0.5N0.5 a. After explaining what A represents, find the labour demand of this firm if A=2 and K=25. b. Suppose that the government decides to put a tax on revenues equal 10%. Find the new labour demand. What will be the effect of this tax on the equilibrium wage, assuming all firms have this production function? Use a graph to illustrate your answer. c. Suppose that a new technology allows the firm to use half of the worker and capital to produce the same quantity (that is A is now 4!). The government is concerned that now firms will fire a massive amount of their workforce and it decides to ban the new technology. Was it a correct fear? Show what would have happened. d. What would have been the impact of the new technology on the capital desired and investment of the firm? Explain.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:A firm has the following production function:
Y=AK0.5N0.5
a. After explaining what A represents, find the labour demand of this firm if A=2 and K=25.
b. Suppose that the government decides to put a tax on revenues equal 10%. Find the new
labour demand. What will be the effect of this tax on the equilibrium wage, assuming all
firms have this production function? Use a graph to illustrate your answer.
c. Suppose that a new technology allows the firm to use half of the worker and capital to
produce the same quantity (that is A is now 4!). The government is concerned that now
firms will fire a massive amount of their workforce and it decides to ban the new technology.
Was it a correct fear? Show what would have happened.
d. What would have been the impact of the new technology on the capital desired and
investment of the firm? Explain.
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