(a) Explain the substitution and output effect of a decrease in price of labor from the attached figure (b) Explain the substitution and output effect of a increase in price of labor from the attached figure
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(a) Explain the substitution and output effect of a decrease in
(b) Explain the substitution and output effect of a increase in price of labor from the attached figure
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- According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuringplan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Priorto restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). Tohire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishidetermine that its marginal productivity of capital is 0.5 small cars per hour at its new targetedlevel of output and that capital is procured in a highly competitive market. The same studyindicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine therate at which Mitsubishi can rent capital and marginal productivity of labour at its new targetedlevel of output. To minimize costs…Answer the Constrained Optimization: Cobb-Douglas Production Function:1. Based from the factor shares of the two inputs, what will happen to the number of output ifit the firm decides to triple both the amount of labor and capital?2. State the optimization problem of the firm.3. Solve for the formulas of the Marginal Product of Labor (MPL), and Marginal product ofCapital (MPK)4. Using your knowledge of the tangency condition in Producer’s theory, find the combinationof K and L that the firm should use to produce the maximum possible output. Do not solvethe problem using the Lagrangian method.Note: The tangency conditions just states that the slope of the production function must beequal to the slope of the isocost function.5. What is the maximum possible output that the firm could earn given the constraint it faces?Consider a manufacturing firm in a labor market that isperfectly competitive. There are two kinds of workers: productiveworkers whose marginal revenue product is $48,000 per year, andlazy workers whose marginal revenue product is $40,000 per year. Itis difficult for the firm to differentiate between productive andlazy workers. A local college offers a new yearlong astronomy course. Althoughthe cost of tuition is the same for both types of workers, thepsychic cost of having to work hard and get a passing grade islower for productive workers because they are able to learn morequickly than lazy workers. Therefore, the cost of taking the class(including the cost of tuition as well as the psychic cost) is$5,000 per year for a productive worker and $10,000 per year for alazy worker. Because astronomy has little relevance tomanufacturing, taking the class does not increase or decrease aworker's productivity. The firm uses the class as a way to differentiate betweenproductive and lazy…
- Q5 A firm's production function is Q is equal to 5L2Ka) Find out the MPL and MPb) Does this production function exhibit constant, increasing, or decreasingreturns to scale?c) What is the marginal rate of technical substitution of L for K for thisproduction function Q6.Suppose the firm sells its output according to the following demand scheduleMarginalTotal Product Total Revenue eLabor Product Price Revenue Product$3.50192c2.80182.30291.80391.65471.5021.4053Fill in the remaining two columns of the table. How many workers wilhired at a wage of $72According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuring plan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Prior to restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). To hire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishi determine that its marginal productivity of capital is 0.5 small cars per hour at its new targeted level of output and that capital is procured in a highly competitive market. The same study indicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine the rate at which Mitsubishi can rent capital and marginal productivity of labour at its new targeted level of output. To minimize…Suppose that labor is the only input used by aperfectly competitive firm. The firm’s productionfunction is as follows:Days of Labor Units of Output0 days 0 units1 72 133 194 255 286 297 29a. Calculate the marginal product of each additionalworker.b. Each unit of output sells for $10. Calculate thevalue of the marginal product of each worker.c. Compute the demand schedule showing thenumber of workers hired for all wages from zeroto $100 a day.d. Graph the firm’s labor-demand curve.e. What happens to this demand curve if the price ofoutput rises from $10 to $12 per unit?
- Constrained Optimization: Cobb-Douglas Production Function:1. Based from the factor shares of the two inputs, what will happen to the number of output if it the firm decides to triple both the amount of labor and capital?2. State the optimization problem of the firm.3. Solve for the formulas of the Marginal Product of Labor (MPL), and Marginal product ofCapital (MPK)4. Using your knowledge of the tangency condition in Producer’s theory, find the combinationof K and L that the firm should use to produce the maximum possible output. Do not solvethe problem using the Lagrangian method.Note: The tangency conditions just states that the slope of the production function must beequal to the slope of the isocost function.5. What is the maximum possible output that the firm could earn given the constraint it faces?Suppose there are two inputs for production, labor and capital. The firm’s production process isdefined by the following production functiony=f(L,K).Howdoweinterpretthefirm’smarginalrateof technical substitution? a)How many units of capital the firm would have to give up in order to attain one more unit oflabor, such that the firm maintains the same cost level b)How many units of capital the firm would have to give up in order to attain one more unit oflabor, such that the firm produces one more unit of output c)How many units of capital the firm would have to give up in order to attain one more unit oflabor, such that the firm maintains the same level of production d)a) and b) are correct e)a) and c) are correctConsider a firm for which production depends on two normal inputs, labor and capital, with prices w and r, respectively. Initially the firm faces market prices of w = 6 and r = 4. These prices then shift to w = 4 and r = 2.a. In which direction will the substitution effect change the firm’s employment and capital s tock?b. In which direction will the scale effect change the firm’s employment and capital stock?c. Can we say conclusively whether the firm will use more or less labor? More or less c apital?
- 3. Theo employs labor at a competitive wage (W) of $3 per unit, and he employs capitalat a competitive rental rate (R) of $6 per unit.a. State the cost-minimizing rule. You must provide both a written statement of it, and state it as anequation.b. At Theo’s current combination of labor and capital, the marginal product of labor (MPL) is twiceas large as the marginal product of capital (MPK). Is Theo currently employing the optimal ratio oflabor and capital? If not, how should he adjust his hiring of labor and/or capital? Explain.69. If the price of labor falls relative to the price of capital, and as a result the quantity of capital employed decreases, it can be concluded that: A. The substitution effect is greater than the output effectB. The output effect is greater than the substitution effectC. The income effect is greater than the output effectD. Labor cannot be easily substituted for capitalAdam operates a small shop specializing in party favors. He owns the build- ing andsupplies all of his own labor and money capital. Adam incurs no explict rental or wagecost. Before starting his own bussines Adam earned $1,000 per month by renting outthe store and earned $2,500 per month as a store manger for a lrge departmentstore chain. Because Adam use his own money capital, he also sacrificed $1,000 permonth interest earned on U.S government treasury bonds. Adam’s monthly revenuesfrom operating his shop are $10,000 and his total monthly expense for labor andsupplies amounted to $6,000. Calculate Adam’s monthly accounting and economic profits