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A firm's production function is |
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Suppose the capital input is fixed in the short-run at the level
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Need help with question 2. |
The optimal choice of input combination in long run,
MPk/r=MPlL/w
(2*L^1/3)/(3*27*k^1/3=(k^2/3)/(3*4*L^2/3)
8L=27K
So K=8,
8L=27*8
L=27
Q=8^2/3*27^1/3=4*3=12
Option B is right
A firm's production function is when $50 has been paid, and zero otherwise. The unit prices...
The firm's production function is given as f(L,K) = 4L0.5K0.5 and input prices are w = 4 and r = 16. In the short-run, the level of capital is fixed at K = 2. What is the firm's short-run average cost function? Wählen Sie eine Antwort: O a. 0.125q 32/q b. 0.25q 16/q О с. 0.125q O d, 4 + 32/q
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2. Consider a firm producing pizza with production function q = KL, that faces input prices w= $10 and r = $100 for labor and capital, respectively. a. Derive the isoquant equation. Find the isoquant of an output q = 1. Draw it in a figure with l in the horizontal axis and k in the vertical axis. b. Does this firm's production exhibit increasing, decreasing or constant returns to scale? Briefly explain c. Find the labor demand, and the...
Given the production function
, if the rental price of capital is 0.133, Y=690, and K=1,728,
what is the value of the exponent
? If A=1, and the real wage is 1.15, is this economy in a long-run
equilibrium?
I know rental price of capital equals the marginal product of
capital, but I have no idea how to solve MPK, and progresses
afterward.
Please give your solution in detail.
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8. Suppose that the following graph shows a few of the isoquants for a firm's production function for producing park benches. The firm's production function is Q = 20KVL. Suppose that the firm's goal is to produce Q= 160 in the cost minimizing way. The cost of a unit of capital (K) is $32 (r=$32) and the cost of a unit of labor is $32 (w=$32). a. Show the firm's cost minimizing isocost on the graph when the firm is...
5. A firm produces widgets with production function: q-2vKL. In the short run, the firm's amount of capital is fixed at K = 100. The rental rate is v = 1 and the wage for L is w= 4. (a) Find the firm's short-run total cost curve (SRTC), short-run average cost curve (SRAC), and the short-run marginal cost (SMC) function. (b) Graph the firm's SAC and SMC using the following levels of production: q 25 and q= 100. (c) Find...
1) Consider an economy having a Cobb Douglas production
function, where the share of capital income in total income is 1/2.
The depreciation rate is
, population growth rate is n = 0.02
2) Assume a general savings rate
, depreciation rate
and a production per worker
, where 0< <1.
Suppose the savings rate increases. What happens to the golden rule
level of capital?
3) Consider an economy that is described by the production
function
. The depreciation rate...
Suppose the production function of a firm is given by q = L1/4K1/4. The prices of labor and capital are given by w = $10 and r = $20, respectively. a) Write down the firm's cost minimization problem. b) What returns to scale does the production function exhibit? Explain c) What is the Marginal Rate of Technical Substitution (MRTS) between capital and labor? d) What is the optimal capital to labor ratio? Show your work. e) Derive the long run...
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