Question

In: Economics

Suppose an economy's production is defined by the following neoclassical function: Y=K 1/5L 4/5. What fraction...

  1. Suppose an economy's production is defined by the following neoclassical function: Y=K 1/5L 4/5. What fraction of GDP will accrue to owners of capital yearly?

    50%

    20%

    80%

    100%

Solutions

Expert Solution

As we can see that production function is Y=K 1/5L 4/5.

So this means that there are two inputs in the production function that is Labor and Capital .

So , As output is bascially made by more labor as owners of labors are more than that of capital.

We can see that power of K is 1 /5 and Power of L is 4 /5 . This means that 1/5 * 100 = 20 % of GDP will accrue to owners of capital and 4/5 * 100 = 80 % of GDP will accrue to owners of Labor  .

Hence (B) is a correct answer


Related Solutions

1. Suppose a country's production function is Y = 4 + 9*K. If the level of...
1. Suppose a country's production function is Y = 4 + 9*K. If the level of capital (K) is 17, then what is the marginal productivity of the 18 unit of capital?   2. Suppose a country's production function is Y = 4 + 9*K0.5 If the level of capital (K) is 17, then what is the marginal productivity of the 18 unit of capital?   3. Assume the production function for a small country is Y = 7*K0.5. If 20% of...
4. Suppose that an economy's production function is Cobb-Douglas with parameter a=0.3. a. What fractions of...
4. Suppose that an economy's production function is Cobb-Douglas with parameter a=0.3. a. What fractions of income do capital and labor receive? b. Suppose that immigration increases the labor force by 10 percent. What happens to the total output (in percent)? The rental price of capital? The real wage? c. Suppose that a gift of capital from abroad raises the capital of stock by 10 percent. What happens to the total output (in percent)? The rental price of capital? The...
1. Suppose that the production function for Sevillia can be represented as Y=F (K, L) =5...
1. Suppose that the production function for Sevillia can be represented as Y=F (K, L) =5 K2/3L1/3 Assume the rate of growth of population is 20%, the saving rate is s = 0.2 and that depreciation rate is 10%. Determine the production function per worker. ( 2 marks) Calculate the steady-state capital stock per worker, output per work er, and consumption per worker. ( calculate to 2 decimal places) ( 3 marks) Illustrate the impact of implementing the policy of...
considering the following production function Y=AK^.5L^.5 where A is a constant representing tech. under the assumption...
considering the following production function Y=AK^.5L^.5 where A is a constant representing tech. under the assumption of neoclassical model, if there is a rise in A with no changes to supply, labor, or captial, this will make the real wage (not change, rise, or fall) and real rental rate of capitlal (not change, rise, or fall)
Suppose the production function of a country is Y equals K to the power of 1...
Suppose the production function of a country is Y equals K to the power of 1 third end exponent L to the power of 2 over 3 end exponent . And its capital stock is K equals 27 and labor force is L to the power of s equals 64. Calculate the following (Enter only numbers. Round up to ONE decimal place if needed) (a) What is the labor market clearing real wage under flexible real wage? (b) What is...
Suppose the production function in Netherlands can be represented by Y = [(K^(1/4) L^(1/3)]^2 , and...
Suppose the production function in Netherlands can be represented by Y = [(K^(1/4) L^(1/3)]^2 , and the production function in Neverland is Y = [(K^4 L^3 )^(1/9)] . Which country will experience a higher percentage decline in national output if both capital K and labor L decrease by 25% at the same time? (a) Neverland. (b) Netherlands. (c) They are the same. (d) More information is required.
Suppose that an economy's production function is given as Y=A·K2-L1/2, and the price of output, nominal...
Suppose that an economy's production function is given as Y=A·K2-L1/2, and the price of output, nominal wage rate, and the rental price of capital are given as P, W, and R, respectively. i) Derive the demand for labor (Lº) as a function of real wage (W/P), using a representative firm's profit maximization. That is, solve the problem of Max [P·Y– (W-L + R:K)] for L. (ii) If the capital stock doubles (from 'K' to '2K'), how much is the demand...
Suppose that the production function for the economy is Y = AK0.25L0.75, A = 2, K...
Suppose that the production function for the economy is Y = AK0.25L0.75, A = 2, K = 100,000, and L = 60,000. What are the values of real GDP, the real wage, and the real rental cost of capital? Show this data using graphs of the aggregate production function, the aggregate capital market, and the aggregate labor market. Really need help on this ASAP!!
Consider the following production function: Y = K.5(AN).5, where both the population and the pool of...
Consider the following production function: Y = K.5(AN).5, where both the population and the pool of labor are growing at a rate n = .07, the capital stock is depreciating at a rate d = .03, and A is normalized to 1. a. What are capital’s and labor’s shares of income? b. What is the form of this production function? c. Find the steady-state values of k and y when s = .20. d. (i) At what rate is per...
Suppose your production function for baseball bats is f(K, L) = L^1/5 K^1/5 and you are...
Suppose your production function for baseball bats is f(K, L) = L^1/5 K^1/5 and you are a profit maximizing price taker. Use minimizing costs to: (a) Determine the conditional factor demands for labor and capital (L = g(w, r, y) =? and K = h(w, r, y) =?). Use these to derive the cost function. (b) Derive the marginal and average cost functions. (c) Derive the supply function for baseball bats. (d) Given this supply function, use the conditional factor...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT