Question

The production process of the firm you manage uses labor and capital services. How does the...

The production process of the firm you manage uses labor and capital services. How does the long-run expansion path change when the wage increases while the rental value of capital stays constant?

Homework Answers

Answer #1

The expansion path is a curve depicting quantities of labour and capital that are used in the production process.

An equi-proportional increase in the price of both labour and capital does not shift the expansion path.

If the price of labour increases and that of capital remains the same, the isocost curve pivots inwards, making the expansion path pivot away from the labour axis and towards the capital axis. In other words, the firm uses more capital with an increase in output as the price of labour (wages) increase.

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
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...
A firm is in the long run and is currently minimizing costs. The firm uses only...
A firm is in the long run and is currently minimizing costs. The firm uses only capital (K) and labor (L) in its production process. Minimum wage legislation is passed raising the minimum wage. Explain how the firm adjusts their inputs following the change. Be sure to explain each step thoroughly and explain when the firm reaches a new cost minimizing point.
Suppose you manage a firm whose marginal product of capital is currently 16 and whose marginal...
Suppose you manage a firm whose marginal product of capital is currently 16 and whose marginal product of labor is currently 5. The rental price of capital is 5, and the wage is 2. If you want to expand output, should you increase capital or labor? Explain. If you do what is in part B, which of your numbers are likely to change? As this process unfolds, what equation will become true?
A firm discovers that when it uses K units of capital and L units of labor...
A firm discovers that when it uses K units of capital and L units of labor it is able to       produce q=4K^1/4 L^3/4 units of output. a) Calculate the MPL, MPK and MRTS b) Does the production function (q=4K^1/4 L^3/4) exhibit constant, increasing or decreasing returns to scale and why? c) Suppose that capital costs $10 per unit and labor can each be hired at $40 per unit and the firm uses 225 units of capital in the short run....
A firm discovers that when it uses K units of capital and L units of labor,...
A firm discovers that when it uses K units of capital and L units of labor, it is able to produce X= L^1/4*K^3/4 units of output 1. Continue to assume that capital and labor can each be hired at $1 per unit. Show that in the long run, if the firm produces 24 units of output, it will employ 16 units of capital and 81 units of labor. What is the long-run total cost to produce 12 units of output?...
Suppose you own a firm that producing shoes using both capital and labor. The production function...
Suppose you own a firm that producing shoes using both capital and labor. The production function is q=f(K, L)=0.5K2 L4 . In long run both capital (K) and labor (L) are variable. Price for each pair of shoes is $50 (p=50), the wage rate is 0.04 (w=0.04) and the rental price for capital is 1 (r=1). Given those output and input prices, what is the profit maximizing input level of K and L (K* & L* )?
A firm uses capital and labor to produce output according to the production ? = 4√??...
A firm uses capital and labor to produce output according to the production ? = 4√?? (a) Find the marginal product of labor (MPL) and marginal product of capital (MPK). (b) If the wage w=$1/labor-hr. and the rental rate of capital r=$4/machine-hr., what is the least expensive way to produce 16 units of output? (c) What is the minimum cost of producing 16 units? (d) Show that for any level of output, q, the minimum cost of producing q is...
a firm produces a product with labor and capital as inputs. The production function is described...
a firm produces a product with labor and capital as inputs. The production function is described by Q=LK. the marginal products associated with this production function are MPL=K and MPK=L. let w=1 and r=1 be the prices of labor and capital, respectively a) find the equation for the firms long-run total cost curve curve as a function of quantity Q b) solve the firms short-run cost-minimization problem when capital is fixed at a quantity of 5 units (ie.,K=5). derive the...
A firm’s production function is Q! = min(4L ,5K ). The price of labor is w...
A firm’s production function is Q! = min(4L ,5K ). The price of labor is w and the price of capital is r. a) Derive the demand function of labor and capital respectively. How does the demand of capital change with the price of capital? b) Derive the long-run total cost function. Write down the equation of the long-run expansion path. c) Suppose capital is fixed at K = 8 in the short run. Derive the short-run total cost function....
A firm produces a product with labor and capital. Its production function is described by Q...
A firm produces a product with labor and capital. Its production function is described by Q = min(L, K). Let w and r be the prices of labor and capital, respectively. a) Find the equation for the firm’s long-run total cost curve as a function of quantity Q and input prices, w and r. b) Find the solution to the firm’s short-run cost minimization problem when capital is fixed at a quantity of 5 units (i.e., K = 5). Derive...