Answer
option B
The marginal rate of technical substitution (MRTS) is:
The line is straight as the production function is linear.
Consider a production function Q = 3K + 4L, when L is graphed on the x-axis...
For the production function Q = min{4L,3K}, what bundle of inputs is on the same isoquant as (L=4,K=4)? (a.) (L=2,K=3) (b.) (L=4, K=1) (c.) (L=2, K=1) (d.) (L=6,K=2)
Let q = L½k½ denote the production function for a firm making long-run decisions, that is K (capital) and L (labor) are now variable. a. Place k on the Y-axis and L on the X-axis and illustrate an isoquant when q=100.b. Derive an expression for the MRTS (the marginal rate of technical substitution) for any level of q.
4. Consider the production functions given below: a. Suppose that the production function faced by a milk producer is given by Q = 40.5 20.5 = 4VK VL, where MPx = 2K-0.5 20.5 = 2 and MP, = 2 K0.5L-05 = 2 * i. Do both labor and capital display diminishing marginal products in the short run? ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS = 1) iii. Does this production function display...
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.
Consider the following Cobb-Douglas production function, where α Find the equation for the isoquant when Q 4,000. K-(Properly format your expression using the fools in the paiette. Hover over tools to see keyboard shortcuts Eg, a fraction can be created with the /character) The marginal rate of technical substitution (MRTS) when Q 4,000 and L-50 (with capital measured on the vertical axis and labor measured on the horizontal axis) is MRTS (Enter a numenic response using an integer)
Suppose the production function for a firm is given by: q=4L^0.75*K^0.25. If the firm currently has 20 units of capital (K) and 10 units of labor (L), then calculate the Marginal Rate of Technical Substitution (MRTSLK).
0.5,,0.25 Suppose the production function for a firm is given by: q-4L If the firm currently has 20 units of capital (K) and 10 units of labor (L), then calculate the Marginal Rate of Technical Substitution (MRTS). (Round to the nearest two decimal places if necessary.) Answer
Suppose the production function for automobiles is ? = ?? where Q is the quantity of automobiles produced per year, L is the quantity of labor (man-hours) and K is the quantity of capital (machine hours). a) What is the total product (number of automobiles) if the firm uses 25 man hours and 2 machine hours? b) Sketch the isoquant corresponding to a quantity of Q=50. c) What is the general equation for the isoquant corresponding to any level of...
Assume that the production function is given by Q = 3K + 4L. What is the average product (“Average product”) of capital (K) when 10 units of capital and 10 units of work are used? Ear: Select the correct average product formula. As always: Present the formula that Let you solve the problem, all your calculations and write a final sentence explaining the result. (5 points)
Consider the following Cobb Douglas production function, where =0.5 Q=KLP Find the equation for the isoquant when Q=4,000 16.000.000 (Property format your expression using the tools in the palette. Hover over fools to see keyboard shortcuts. Eg, a fraction can be created with the character.) The marginal rate of technical substitution (MRTS) when Q ) 4,000 and L - 100 (with capital measured on the vertical axis and labor measured on the horizontal 2 MRTS - (Enter a numeric response...