Given the production function q = f(L, K), we obseve that MPL > APL. What also must be true? A. %Upper DeltaΔq < %Upper DeltaΔL B. %Upper DeltaΔq = %Upper DeltaΔL C. %Upper DeltaΔq > %Upper DeltaΔL
The correct answer is option C. With MPL > APL, Q/L > Q/L.
Q/Q > L/L
Percentage change in Q will be greater than the percentage change in L.
Given the production function q = f(L, K), we obseve that MPL > APL. What...
Suppose the firm's production function is given by q= F(K, L)= K2L with MPL=K2, MPK=2KL The price per unit of capital is 10 and the price per unit of labor is 5. Find the cost minimizing quantity of labor to produce 500,000 units of output. Please round to the closest integer.
1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L? Assume K = 25. a. Fill in the following table. (First, find the total output from the production function, then find the marginal product by dividing the change in total output by change in labor.) Capital MPL Labor 7 Total Output 126 APL 18 25 12 25 25 25 25 25 10 11 12 13 14 15 25 25 25 b. How many units...
1. A production function is given by f(K, L) = L/2+ v K. Given this form, MPL = 1/2 and MPK-2 K (a) Are there constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) In the short run, capital is fixed at -4 while labor is variable. On the same graph, draw the 2. A production function is f(LK)-(L" + Ka)", where a > 0 and b > 0, For what values of a and...
A firm has the production function Q= 4LK. The marginal products are given by MPL = 4K and MPK= 4L. Suppose that the prices of labour and capital are given by w and r. Solve for the quantities of L and K that minimize the cost of producing Q units of output. Provide an expression for the long run total cost function. What returns to scale are exhibited by this production function? What economies of scale are exhibited? Show the...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
1. Suppose the production function is given by Q = LK, where MPL = K and MPK = L. The level of output Q = 100 and both wage and interest rates are equal to one, so that w== a) Given that the wage increases to 4, determine the elasticity of demand for labour at the new wage. Indicate whether the wage bill will increase or decrease as wage increases to 6. b) Find the linear demand function for labour...
Suppose that q 30, L 2, and K-10 is a point on the production function q=f(L, K) Is it posssible for q 30, L 2, and K-11 to also be a point on this production function? Why or why not? The combination q -30, L-2 and K-11 O A. cannot be a point because we assume production functions represent the short run O B. can be a point because we assume production functions exhibit diminishing returns. ° C. cannot be...
Consider a firm that faces the following production function: q = f(L, K) = L1/2 K1/2 where q is output, L is labor, and K is capital. Use this production function to answer the following questions. (a) What is the marginal product of labor (MPL)? (b) Does the MPL follow the law of diminishing returns? How do you know? (c) What is the marginal product of capital (MPK)? (d) Does the MPK follow the law of diminishing returns? How do...
) Suppose the production function is q = 12 K.5L.5 . Calculate the MRTS (MPK/MPL) when: a) K = 200, L = 300 b) K = 50, L = 400 c) K= 900, L = 2000
Given production function Q=f(K, L) = 8KL + √L where K is capital and L is labor. a. Find marginal product of labor and marginal product of capital.b. Define what is marginal rate of technical substitution, MRTS. Calculate the MRTS for the above case.c. When K = 10, L = 16, what is the total output? Sketch this isoquant function on a diagram where K is the vertical axis and L is the horizontal axis.