11. Suppose that the production function is Y=K^(0.5) N^(0.5). With this production function the marginal product of labor is MPN=0.5K^(0.5) N^(-0.5). The capital stock is K-100. The labor supply curve is NS=100(w^2), where w is the real wage and NS denotes the quantity of labor supplied. Compute the equilibrium level of employment (N). 12. Consider Question 11 again. Compute the level of full-employment output (Y). Approximate your answer to the next integer.

Principles of Microeconomics (MindTap Course List)
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Chapter18: The Markets For The Factor Of Production
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11. Suppose that the production function is Y=K^(0.5) N^(0.5). With this
production function the marginal product of labor is MPN=0.5K^(0.5) N^(-0.5).
The capital stock is K=100. The labor supply curve is NS=100(w^2), where w is
the real wage and NS denotes the quantity of labor supplied. Compute the
equilibrium level of employment (N).
12. Consider Question 11 again. Compute the level of full-employment output
(Y). Approximate your answer to the next integer.
13. Consider Question # 11 again. Due to a temporary reduction in immigration,
the economy's labor supply curve changes to NS=90(w^2). A policy maker
suggests that in order to increase full-employment output in response to the
reduction in immigration the government might temporarily subsidize the firm's
labor cost by paying a fractions of the wage it pays to a worker. That is, if the
real wage received by a worker is w, the firm only pays a portion (1-s)w with the
remaining sw coming from the government. Compute the subsidy s that would
make the level of full employment (N) in the economy with reduced immigration
equal to the level of full employment of the economy in Question # 11. Enter
your answer in percent with one decimal and without the % symbol.
Transcribed Image Text:11. Suppose that the production function is Y=K^(0.5) N^(0.5). With this production function the marginal product of labor is MPN=0.5K^(0.5) N^(-0.5). The capital stock is K=100. The labor supply curve is NS=100(w^2), where w is the real wage and NS denotes the quantity of labor supplied. Compute the equilibrium level of employment (N). 12. Consider Question 11 again. Compute the level of full-employment output (Y). Approximate your answer to the next integer. 13. Consider Question # 11 again. Due to a temporary reduction in immigration, the economy's labor supply curve changes to NS=90(w^2). A policy maker suggests that in order to increase full-employment output in response to the reduction in immigration the government might temporarily subsidize the firm's labor cost by paying a fractions of the wage it pays to a worker. That is, if the real wage received by a worker is w, the firm only pays a portion (1-s)w with the remaining sw coming from the government. Compute the subsidy s that would make the level of full employment (N) in the economy with reduced immigration equal to the level of full employment of the economy in Question # 11. Enter your answer in percent with one decimal and without the % symbol.
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