Question

A firm has the following production function: q=5LK^0.5+2L^2K-L^3K What is its short-run production function if capital...

A firm has the following production function:

q=5LK^0.5+2L^2K-L^3K

What is its short-run production function if capital is fixed at K=9?

What are the firm’s marginal product of labour and average product of labour in the short run?

Show that the firm’s elasticity of output with respect to labour in the short run is a function of marginal product of labour and average product of labour. Calculate the short-run elasticity of output with respect to labour

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An electronics plant’s production function is Q = L 2K, where Q is its output rate,...
An electronics plant’s production function is Q = L 2K, where Q is its output rate, L is the amount of labour it uses per period, and K is the amount of capital it uses per period. (a) Calculate the marginal product of labour (MPL) and the marginal product of capital (MPK) for this production function. Hint: MPK = dQ/dK. When taking the derivative with respect to K, treat L as constant. For example when Q = L 3K2 ,...
A firm produces good Q using inputs L & K. The firm’s production function is X...
A firm produces good Q using inputs L & K. The firm’s production function is X = 20L^0.5 + 11K. The price of K is $P_K a unit and the price of L is $P_L a unit, and in the short‐run, the capital input is fixed at 3 units. a. If the firm needs an output of X_1 in the short‐run, what is the firm’s total cost and marginal cost of production? b. What is the firm’s fixed cost and...
The production function for a firm is Q = −0.6L 3 + 18L 2K + 10L...
The production function for a firm is Q = −0.6L 3 + 18L 2K + 10L where Q is the amount of output, L is the number of labor hours per week, and K is the amount of capital. (a)Use Excel to calculate the total short run output Q(L) for L = 0, 1, 2...20, given that capital is fixed in the short run at K = 1. (b) Use Excel to calculate the total long run output Q(L) for...
A firm has a daily production function q = 2.5L^1/3K^1/3. Currently, the firm rents 8 pieces...
A firm has a daily production function q = 2.5L^1/3K^1/3. Currently, the firm rents 8 pieces of equipment. The amount of equipment is fixed in the short run. The unit wage rate is $25 while the rental cost of capital is $100. Find the short run production function. Find the number of workers the firm wishes to employ to produce q units (the short run conditional demand for labor). Find the firm’s short run total cost Find the firm’s short...
(2) Consider the production function f(L, K) = 2K √ L. The marginal products of labor...
(2) Consider the production function f(L, K) = 2K √ L. The marginal products of labor and capital for this function are given by MPL = K √ L , MPK = 2√ L. Prices of inputs are w = 1 per hour of labor and r = 4 per machine hour. For the following questions suppose that the firm currently uses K = 2 machine hours, and that this can’t be changed in the short–run. (e) What is the...
1. Suppose a short-run production function is described as Q = 2L – (1/800)L^2 where L...
1. Suppose a short-run production function is described as Q = 2L – (1/800)L^2 where L is the number of labors used each hour. The firm’s cost of hiring (additional) labor is $20 per hour, which includes all labor costs. The finished product is sold at a constant price of $40 per unit of Q. a. How many labor units (L) should the firm employ per hour b. Given your answer in a, what is the output (Q) per hour...
Suppose that firm face the following production function: Q = 2L^1/2 K^1/2 and firm has K...
Suppose that firm face the following production function: Q = 2L^1/2 K^1/2 and firm has K upper bar (is fixed) units of capital in short run. Suppose also that price of labor (W) is 16 and pricepf capital (r) is 1 and firm's objective output is 144. At what level K upper bar short run total cost would be equal to the long run total cost?
Consider the following short-run production function: q = 2L 2 - (1/3)L 3. At what level...
Consider the following short-run production function: q = 2L 2 - (1/3)L 3. At what level of L do diminishing marginal returns begin? L = 3 L = 4 L = 2 L = 1
The production function for a firm is given by q = L0.75 K0.3 where q denotes...
The production function for a firm is given by q = L0.75 K0.3 where q denotes output; L and K labor and capital inputs . (a) Determine marginal product of labor. Show whether or not the above production function exhibits diminishing marginal productivity of labor. (b) Calculate the output (or production) elasticity with respect to labor. c) Determine the nature of the Return to Scale as exhibited by the above production function. Show and explain all calculations
A firm uses two inputs, capital K and labor L, to produce output Q that can...
A firm uses two inputs, capital K and labor L, to produce output Q that can be sold at a price of $10. The production function is given by Q = F(K, L) = K1/2L1/2 In the short run, capital is fixed at 4 units and the wage rate is $5, 1. What type of production function is F(K, L) = K1/2L1/2 ? 2. Determine the marginal product of labor MPL as a function of labor L. 3. Determine the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT