provide detailed and straightforward solution with steps, show proper calculations please. 6. Consider the truthfulness of the following statements.I.II.The lower is the elasticity of substitution between capital and labor, the more inelasticlabor demand will be.Suppose capital and labor are perfect substitute inputs for a particular firm. If the price oflabor increases, holding the price of capital and the level of output constant, the firm willnecessarily lower its costs by substituting towards capital and away from labor.a. Only statement I is true.b. Only statement II is true.c. Both statements I and II are true.d. Neither statement is true.

It is true, as stated in Statement I, that the elasticity of labor demand is influenced by the…

Answered: 6. Consider the truthfulness of the…

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter10: Cost Functions

Section: Chapter Questions

Problem 10.12P

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Similar questions

What is the difference between a fixed input and a variable input?
Consider a firm that produces output using industrial robots and skilled labor. Suppose it is the case that a reduction in the price of industrial robots causes the firm's labor demand curve for skilled workers to increase (i.e., to shift to the right). This implies that: There is diminishing marginal product of robots. O There is diminishing marginal product of skilled labor. O Robots and skilled labor are complements. O Robots and skilled labor are substitutes. The unit cost of skilled labor is below the unit cost of robots.
2. A production function is given by the equation Q = 100L04K0.6 Where L is the number of labour units and K the capital units. a. Find marginal product of labour (Q₁) at L=4 and K=10. Interpret the result. aQ L at L=4 and K-10. ƏL Q b. Find the partial elasticity with respect to labour (EQL = Interpret the result. C. When Q-200, the marginal rate of technical substitution at L=4 is -0.21. Interpret that value (MRTS).
Suppose that firms face the following production function: Q ==Inl +InK. What is the degree of elasticity of substitution? O 2/3 1/3 01 O infinity
Which of the following diagrams shows a production function where the inputs are perfect substitutes? A X1 X1 X1 D X2 X1 D. O O O O
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?
• Assume that a firm is using the cost-minimizing combination of its only 2 inputs, capital and labor. If the price of a unit of capital is $200 and the price of a unit of labor is $50, what is the MPL of the last unit of labor if the marginal product of the last unit of capital is 2,000?
4. Given the following graph, briefly respond to the questions appearing directly below this graph. Сapital A 14 10 3. Isoquant for Output = 60 C %3D 3. Isoquant for E/Output = 40 %3D 2 3 9 11 Labor a. For an output level of 40 units, calculate the marginal rate of technical substitution between points A and B. b. Also for an output level of 40 units, calculate the marginal rate of technical substitution be- tween points D and E.
A small specialty cookie company, whose only variable input is labor, finds that the average worker can produce 100 cookies per day, the cost of the average worker is $32 per day, and the price of a cookie is $1.00. Is the firm maximizing profit? The firm O A. is not maximizing profit because the marginal revenue product of labor is greater than the wage. O B. is not maximizing profit because the marginal revenue product of labor is less than the wage. O C. is maxinmizing profit because the marginal product of labor is greater than the wage. O D. is not maximizing profit because the price of the output is not equal to the wage. O E. is not maximizing profit because the marginal product of labor is greater than the wage.
5. Suppose that a hot dog vendor uses a cart (K) and his time (L) to make and sell hot dogs. The vendor's production function is where Q is the number of hot dogs per day. Suppose that the rental on hot dog carts is $50 per day and that the vendor wants to Q = K0.3 10.7 produce 500 hot dogs per day. Use calculus to: a. derive the demand for labor. b. show that the demand for labor satisfies the law of demand. 2
What is the effect if the cost of labor increases? O Price increases, quantity increases O Price decreases, quantity decreases O Price decreases, quantity increases O Price increases, quantity decreases
can someone pls explain if marginal product function (i.) and (ii) are either convex or concave? what is their economic implication?

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