Suppose you find that at a given input bundle the TRS=-2. Then you can conclude that at that input bundle: O labour is more productive than capital O capital is more productive than labour O labour and capital are equally productive O there is not enough information to answer
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- What is the difference between a fixed input and a variable input?If two painters can paint 200 square feet of wall in an hour, and three painters can paint 275 square feet, what is the marginal product of the third painter?Suppose we have a produ ction function for wheat Q = KL - 0.8K2 - 0.212 A. Given K = 10 Units, calculate the level of labourth at the AP reaches max andh ow Much wheatis produced at that point B. Given K = 10 at what level of labour outputreaches maximum C. How mu ch Ilevel of labor should the company hire in order to be efficient |
- You have been doing research for a firm andhave discovered that the firm’s averageproduct of capital is decreasing. If capital is the onlyvariable input, what does this imply about the firmsmarginal product of capital?USE R LANGUAGE TO SOLVE THE equation The output of a production process, Q is given by the function2K^(-3)L^(5/2)/2K log4 6L^2where K and L denote capital and Inbour. Calculate the output when the capital and labour are 10 and 20 units, respectively.If capital and labour are perfect complements then the marginal products of capital and labour are undefined A True Faise Question 16 A firm uses 10 units of labour and 20 units of capital to produce 10 units of output. The marginal product of labour is 0.5. If there are constant returns to scale the marginal product of labour must be 0.25 True B False Question 17 Afirm uses 10 units of labour and 30 units of capital to produce 10 units of output. The marginal product of labour is 05. If there are constant returns to scale the marginal product of labout must be 0.25 A True False
- QUESTION 2 K 6 isocost 3 L Based on the information in the graph aboive, what is the slope of the isocost line? # If the price of capital remains the same and the price of labor decreases, the isocost line will With the current mix of labor and capital, the marginal technical rate of subsitution is MRTS-3. If the prices of labor and capital remain as shown in the graph, then the firm will minimize the cost of production by +X 15:01 EC5011 - Seminar 2.do... II. Problems and Exercises .ıl 4 1. Consider the following production function: . Does this production function exhibit constant returns to scale? (Hint: Replace K and L by 2K and 2L, respectively, and check if F(2K, 2L) = 2F(K, L).) 2. Consider the following production function: . a. Calculate the marginal product of labour. b. Calculate the marginal product of capital. c. Does this production function exhibit diminish MPL and MPK? d. Does this function exhibit constant returns to scale? 3. Suppose represents the production function of both Mexico and Spain. Use the following information to answer the next questions. L = Population K = Capital Y = Output Country (millions) (trillion) (trillion) Mexico 105 0.18 1.0 Spain 45 0.74 1.7 a. Calculate total factor productivity for both countries using the PF in question 2. b. Calculate per capita income for both countries. c. Explain the difference in per capita income. 4. A snack food factory in the Tuas…2. Consider the production function given by Y= altbK. The prices of labor and capital are wLand wK, respectively. a. Find the conditional input demand for L and K b. Find the cost function C. How will an increase in wk affect the labor demand in a? Show graphically d. If K is fixed at 10, find the conditional labor demand
- Short Answer Q1 A firm's production function is estimated as Q = 400K + 80L -0.2K 2-0.4L? where K is capital and Lis labor. If the firm is using 200 units of K and 50 units of L, solve for: The marginal product of capital MPK The marginal product of labor MPL Don't just give your answers for MPK and MPL, show your computations If the price of Kis $70 per unit and the price of L is $14 per unit, is this an optimal production choice for the firm? Explain why it is or is not.Digging calms by hand in Sunset Bay requires only labor input. The total number of calms obtained per hour (q) is given by :Q = 100√LWhere L is labor input per hour. A. Graph the relationship between q an LB. What the average productivity of labor in Sunset Bay? Graph this relationship and show that output per unit of labor input diminishes for increase in labor input. C. It can be shown that the marginal productivity of labor in Sunset By is given by:MPL =50√LGraph this relationship and show that labor’s marginal productivity is less than average productivity for all values of L . Explain why this is do.D. Explain the concept of diminishing returns to labor and how this concept related to increasing marginal costs.Explain how a firm’s production function is related toits marginal product of labor, how a firm’s marginalproduct of labor is related to the value of its marginalproduct, and how a firm’s value of marginal productis related to its demand for labor