Course: Introduction to Economics - Labor Market This exercise is presented again. There are still no answers. Please, I need a real expert. Thank you  You've been asked to solve an analytical example to illustrate concretely effects of minimum wage and labor income tax legislation on employment and, therefore, unemployment. For this, you have decided to study Labor Demand of a firm whose production function is given by: Y = A K1/3 L2/3 For simplicity, you decide to assume that A = P = K = 1 , where A is factor productivity, P is price of the good sold by firm and K is amount of capital hired by firm. Recall, moreover, that optimal decision of any economic agent can be reduced to an equality between marginal revenue and marginal costs. In particular, firm will hire workers up to a point where marginal revenue (MR) of their labor equals marginal cost (MC). Given production function you have decided to use for analysis, marginal productivity (MPL) of labor is given by: MPL = 2/3L-1/3 Suppose, further, that supply of labor is monotonic and increasing in wage: Ls = w2 a) In first instance, describe how labor market behaves in this economy if there isn't market regulation. Determine WAGE, EMPLOYMENT and UNEMPLOYMENT b) Now consider effects of introducing a minimum wage (wm). What's EMPLOYMENT and UNEMPLOYMENT RATES if wm= 1? What if wm = 0.5? How does this market differ from the one described in a)? Suppose, further, that government has an unemployment insurance policy of wg = 0.2. In this context, how much would an unemployed person be willing to pay a recruiter to get a job? c) Finally, consider impact of introducing a 5% wage tax (this tax has legal incidence on employers). Calculate EMPLOYMENT and UNEMPLOYMENT RATES when wm = 0 and wm = 1. [Help: if w is wage received by a female worker, cost (to employer) of hiring her is w * 1.05].

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Chapter11: Profit Maximization
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Course: Introduction to Economics - Labor Market

This exercise is presented again. There are still no answers. Please, I need a real expert. Thank you 

You've been asked to solve an analytical example to illustrate concretely effects of minimum wage and labor income tax legislation on employment and, therefore, unemployment. For this, you have decided to study Labor Demand of a firm whose production function is given by: Y = A K1/3 L2/3
For simplicity, you decide to assume that A = P = K = 1 , where A is factor productivity, P is price of the good sold by firm and K is amount of capital hired by firm. Recall, moreover, that optimal decision of any economic agent can be reduced to an equality between marginal revenue and marginal costs. In particular, firm will hire workers up to a point where marginal revenue (MR) of their labor equals marginal cost (MC). Given production function you have decided to use for analysis, marginal productivity (MPL) of labor is given by: MPL = 2/3L-1/3
Suppose, further, that supply of labor is monotonic and increasing in wage: Ls = w2

a) In first instance, describe how labor market behaves in this economy if there isn't market regulation. Determine WAGE, EMPLOYMENT and UNEMPLOYMENT
b) Now consider effects of introducing a minimum wage (wm). What's EMPLOYMENT and UNEMPLOYMENT RATES if wm= 1? What if w= 0.5? How does this market differ from the one described in a)? Suppose, further, that government has an unemployment insurance policy of wg = 0.2. In this context, how much would an unemployed person be willing to pay a recruiter to get a job?
c) Finally, consider impact of introducing a 5% wage tax (this tax has legal incidence on employers). Calculate EMPLOYMENT and UNEMPLOYMENT RATES when wm = 0 and wm = 1. [Help: if w is wage received by a female worker, cost (to employer) of hiring her is w * 1.05].

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