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True or false: Equilibrium employment is given by the intersection of the wage and the profit
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- Consider a company operating in a competitive market. The company sells units of output and receives a price of $20 per unit, and pays a daily market wage of $330 to each worker it employs. In the following table, complete the column for the value of the marginal product of labor (VMPL) at each quantity of workers. Labor Output Marginal Product of Labor Value of the Marginal Product of Labor (Number of workers) (Units of output) (Units of output) (Dollars) 0 0 20 1 20 19 2 39 18 3 57 15 4 72 12 5 84 On the following graph, use the blue points (circle symbol) to plot the firm's labor demand curve. Then, use the orange line (square symbols) to show the wage rate. (Note: If you cannot place the wage rate at the level you want, move the two end points individually.) Hint: Remember to plot each point halfway between the two integers. For example, when the number of workers increases from 0 to 1, the…Production function for firm is Ys=ln(Ld)Utility function is U(Yd, Ld)= Ys+ln(1-Ls)1) Write down maximization problem of firm and find labor demand curve2) Write down maximization problem of household and find labor supply curve3) Write down market clearing conditions4) Calculate equilibrium employment and real wage5) If the price is equal to $2, what would be the nominal wage in equilibriumQ = K x L (Quantity = capital X labor) Are MPk and MPL diminishing? Is MRTSL,k diminishing? (Marginal rate of technical substitution)
- Consider an economy with 2 workers. If the value of the marginal product of labor (VMPL) is $50 and the marginal product of labor (MPL) is 15, what is the market price (P)? Provide your answer below:Suppose 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.Consider the labor–leisure budget constraint curve on the graph. This curve shows trade‑offs between income and leisure that must be made over the course of one week. Assume there are no artificial barriers to limits on hours worked and that the wage is $25 per hour. Determine the vertical and horizontal intercepts. vertical intercept: $ horizontal intercept: h
- 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; 0.9Initially a firm's wage is w= $24 and its rental cost of capital is r $24. After its wage rate doubles, how do its isocost lines change? Let L represent labor and K capital. 1.) Using the line drawing tool, graph an isocost line at the original wage, when the wage is w = $24. Label this line 11: 2.) Using the line drawing tool, graph an isocost line at the new wage, when the wage doubles. Label this line '12. Carefully follow the instructions above, and only draw the required objects. 20- 18- 16- 14- 12- 10- 8- 6- 4- 2- K, Capital 0 2 4 6 8 10 12 14 16 18 L, LaborWe can produce widgets with two inputs – labour and capital. The two inputs are perfect substitutes. Current technology methods allow one machine to do the work of three labourers. The widget factory wishes to produce one hundred units of output. The price of capital is $750 per machine per week. What combination of inputs will the firm use if the weekly salary of each worker is $300? What combination of inputs will the firm use if the weekly salary of each worker is $225? Draw isocost line to help structure your thinking
- The table below shows levels of employment (Labor), the marginal product at each of those levels, and the price at which the firm can sell output in a perfectly competitive market. Labor Marginal Product of Labor Price of the Product Value of the Marginal Product 1 7 $3 6 $3 3 $3 4 4 $3 3 $3 a) Complete the table finding the Value of the Marginal Product (show your work!). b) If the wage rate is $15, what is the firm's profit maximizing level of employment? JUSTIFY your answer! 2.Suppose 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)Consider a company operating in a competitive market. The company sells units of output and receives a price of $30 per unit, and pays a daily market wage of $285 to each worker it employs. In the following table, complete the column for the value of the marginal product of labor (VMPL) at each quantity of workers. Value of the Marginal Product of Labor Labor Output Marginal Product of Labor (Number of workers) (Units of output) (Units of output) (Dollars) WAGE (Dollars per worker) 500 450 On the following graph, use the blue points (circle symbol) to plot the firm's labor demand curve. Then, use the orange line (square symbols) to show the wage rate. (Note: If you cannot place the wage rate at the level you want, move the two end points individually.) 400 Hint: Remember to plot each point halfway between the two integers. For example, when the number of workers increases from 0 to 1, the value of the marginal product for the first worker should be plotted with a horizontal coordinate…
