Assume that the marginal product of labor is given by the following expression: where L is measured in millions. 52.1 MPL = 20.3 Determine the equilibrium real wage if the labor supply equals 100 million workers .
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- If an individual labor supply curve bends backward at some high wage, so does the market labor supply curve. True or False?prove that dMRTS/dL<0 when FKL > 0 where MRTS =MPL/MPK MPL= marginal product of labor MPK - marginal product of capitalIn the short run one half of the labour force has high skills and one half low skills (in terms of Figure 13.2 this means that the short-run supply curve is vertical at 0.5). The relative demand for the high-skill workers is given by W = 100×0.4×(1− f), where W is the wage premium and f is the fraction that is skilled. The premium is measured in percent. (a) Illustrate the supply and demand curves graphically, and compute the skill premium going to the high-skill workers in the short run by solving the two equations. (b) If demand increases to W = 100 × 0.6 × (1 − f) what is the new premium? Illustrate your answer graphically. Figure 13.2
- Consider the potted plant industry, which has a competitive labor market. A potted plant sells for $10. The Lth worker hired in the industry produces an additional 1000 – L potted plants. The labor supply curve in the potted plant industry is W = 1000 + 10L. Find the equilibrium wage hired in the industry. Find the equilibrium number of workers hired in the industry.The marginal product of labor (measured in units of output) for a certain firm is: MPN = A(100-N), where A measures productivity and N is the number of labor hours used in production. The price of output is $2 per unit. (Round all answers to two decimal places.) If A = 1 and the nominal wage is $80, the quantity of labor demanded will be 60 If A = 1 and the nominal wage is $100, the quantity of labor demanded will be 50 Assume that A is equal to 1. Using the line drawing tool, draw the labor demand curve from 0 to 100 units of labor. Properly label this line. Carefully follow the instructions above, and only draw the required objects. If A = 1, the price of output is $4, and the supply of labor is fixed at 85, the equilibrium real wage is 15, and the equilibrium nominal wage is $60. C Real Wage, W/P 220- 200- 180- 160- 140- 120- 100- 80- 60- 40- 20- 0 (10,0) 0 10 20 30 40 50 60 70 80 90 100 110 120 Labor, N ONSuppose the supply curve of lab assistants is given by w = 8 + 6E, while the demand curve is given by w = 40 – 2E. (Assume is in 000s of persons and w is the annual salary in thousands of dollars). Calculate the equilibrium wage and employment level.
- in an economy with production function Y = 1.5 × K^0.3L^0.7, K = 343, and L = 512. If factor markets are in equilibrium, then the rental price of capital is (approximately) ________, and the real wage is (approximately) ________. A) 0.5; 0.8 B) 7; 8 C) 0.9; 1.35 D) 1.4; 0.4 E) 0.6; 0.9In some extreme cases, an individual’s labor supply curve may be downward sloping at higher hourly wage rates. That is, further increases in the worker’s wage lead them to work fewer hours. Why might an individual worker exhibit such behavior?Dolls are fabricated in a process with two resources. The first resource has a capacity of 1.5 dolls per hour. The capacity of the second resource is 0.99 dolls per hour. The first resource has 7 workers and the second resource has 9 workers. Demand for this process is 1.1 dolls per hour. Wages are $24 per hour. Instruction: Round your answer to two decimal places. What is the cost of direct labor (in $)? per unit
- Calculate the labor and capital share of output: Y=ALαK1-α A= 1.5 α= 0.5 L=Labor K= Capital Factor Markets: Labor Supply (L^S)= 100 Labor Demand (L^D)= 200-5(W/P) Supply of Capital (K^S) = 100 Demand for Capital (K^D)= 200-4(R/P) (W/P)= real wage rate (R/P)= real rental rateThe market for plumbers in Boston is currently in equilibrium. Labor supply is given by Ls = 3 x W and labor demand is given by Ld = 45 - W (where L = quantity of workers, Ls quantity of workers supplied, Ld = quantity of workers demanded, and W = wage). The plumbers have just unionized and have negotiated a wage of $25 for all plumbers in Boston. How many plumbers do you expect to be unemployed as the result of this change? Please round your answer to the nearest integer. %3D %3D %3DSuppose the hourly wage rate is $14, the rental price of capital is $2 and the price of output is constant at $42 per unit. Firm's production technology is q = 4K0.25 0.75, the marginal product of employment is MPE =3K0.25E-0.25 and the marginal product of capital is MPK = K™ 0.75 0.75. What is firm's optimal demand of labor if firm plans to produce q=19 units of outputs in the long-run? (please keep 1 decimal place in your answer)