Homework Answers
The correct option is constant; diminishing.
The aggregate production function for the Solow growth model assumes constant returns to scale and diminishing marginal returns to either labor or capital.
Solow growth model assumes that there are constant returns to scale. In other words, the production function is homogeneous of the first degree. Also it displays decreasing marginal returns to each factor.
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returns to scale and The aggregate production function for the Solow growth model assumes returns to either labor or c...
12. What happens with no diminishing returns? Consider a Solow model where the production function no...
12. What happens with no diminishing returns? Consider a Solow model where the production function no longer exhibits diminishing returns to capital accu- mulation. This is not particularly realistic, for reasons discussed in Chapter 4. But it is interesting to consider this case nonetheless because of what it tells us about the workings of the Solow model. Assume the production function is now Y, = AK. The rest of the model is unchanged. (a) Draw the Solow diagram in this...
2. Consider the Solow growth model. Suppose that the production function is constant returns to scale...
2. Consider the Solow growth model. Suppose that the production function is constant returns to scale and it is explicitly given by: Y = K L l-a a. What is the level of output per capita, y, where y = Y/L? b. Individuals in this economy save s fraction of their income. If there is population growth, denoted by n, and capital depreciates at the rate of d over time, write down an equation for the evolution of capital per...
Solow Growth Model Which of the following best describe Steady State? A. output growth accelerates B....
Solow Growth Model Which of the following best describe Steady State? A. output growth accelerates B. investment is balanced by depreciation C. investment exceeds depreciation D. the capital labor ratio increases ° Classical versus Endogenous Growth Models One significant disctinction between the classical and endogenous models is O A. only endogenous models explain perfect competition B. both models use constant returns to scale O O C. classical models utilize constant returns to scale, endogenous models employ increasing returns to scale...
Solow Growth Model: Consider an economy with the following features: • Y = K 0.25 0.75...
Solow Growth Model: Consider an economy with the following features: • Y = K 0.25 0.75 • 8 = 0.02 • n=0 . g=0 i. Does the production function exhibit decreasing, constant, or increasing returns to scale? How do you know? ii. Determine MPK. Tii. Does the production function exhibit increasing, constant, or diminishing marginal product of labour? How do you know? iv. Re-express the production function in per worker terms. v. Determine the value of k in three periods...
The production function 9 = k1.270.5 exhibits: a. increasing returns to scale but no diminishing marginal...
The production function 9 = k1.270.5 exhibits: a. increasing returns to scale but no diminishing marginal productivities. b. decreasing returns to scale. C. increasing returns to scale and diminishing marginal product for / only. d. increasing returns to scale and diminishing marginal products for both k and I.
1. (The AK Model) Consider an economy with an aggregate production function given by y =...
1. (The AK Model) Consider an economy with an aggregate production function given by y = F(K) = AK Capital is the only relevant factor of production. A is fixed and represents the productivity of capital. The law of motion for capital is just as in the neoclassical model where s and δ are the savings rate and depreciation rate, respectively. a) Show whether F(K) exhibits constant, decreasing or increasing returns to scale. Com- pute the marginal product of capital....
What would the solow growth model look like if there was a production function which had...
What would the solow growth model look like if there was a production function which had diminishing productivity in the short run until point k* but after point k* the function had increasing marginal productivity? would there be another point of intersection?
the second question In Example 6.4 wheat is produced according to the production function: q=100(k0.6 0.4)...
the second question
In Example 6.4 wheat is produced according to the production function: q=100(k0.6 0.4) Beginning with a capital input of 4 and a labor input of 49, show that the marginal product of labor and the marginal product of capital are both decreasing (Round responses to two decimal places.) The MPK at 5 units of capital is 156.12 The MP at 6 units of capital is 144.02 The MP at 50 units of labor is 8.84 The MP...
1. (The AK Model) Consider an economy with an aggregate production function given by Y=F(K) =...
1. (The AK Model) Consider an economy with an aggregate production function given by Y=F(K) = AK of capital. The law of motion for capital is just as in the neoclassical model where s and δ are the savings rate and depreciation rate, respectively. a) Show whether F(K) exhibits constant, decreasing or increasing returns to scale. Com pute the marginal product of capital. Does this function satisly the neoclassical assumptions?
The production function q = k0.620.5 exhibits: a. increasing returns to scale and diminishing marginal products...
The production function q = k0.620.5 exhibits: a. increasing returns to scale and diminishing marginal products for both k and 1. b. increasing returns to scale and diminishing marginal product for 1 only. c. increasing returns to scale but no diminishing marginal productivities. d. decreasing returns to scale.
12. What happens with no diminishing returns? Consider a Solow model where the production function no longer exhibits diminishing returns to capital accu- mulation. This is not particularly realistic, for reasons discussed in Chapter 4. But it is interesting to consider this case nonetheless because of what it tells us about the workings of the Solow model. Assume the production function is now Y, = AK. The rest of the model is unchanged. (a) Draw the Solow diagram in this...
2. Consider the Solow growth model. Suppose that the production function is constant returns to scale and it is explicitly given by: Y = K L l-a a. What is the level of output per capita, y, where y = Y/L? b. Individuals in this economy save s fraction of their income. If there is population growth, denoted by n, and capital depreciates at the rate of d over time, write down an equation for the evolution of capital per...
Solow Growth Model Which of the following best describe Steady State? A. output growth accelerates B. investment is balanced by depreciation C. investment exceeds depreciation D. the capital labor ratio increases ° Classical versus Endogenous Growth Models One significant disctinction between the classical and endogenous models is O A. only endogenous models explain perfect competition B. both models use constant returns to scale O O C. classical models utilize constant returns to scale, endogenous models employ increasing returns to scale...
Solow Growth Model: Consider an economy with the following features: • Y = K 0.25 0.75 • 8 = 0.02 • n=0 . g=0 i. Does the production function exhibit decreasing, constant, or increasing returns to scale? How do you know? ii. Determine MPK. Tii. Does the production function exhibit increasing, constant, or diminishing marginal product of labour? How do you know? iv. Re-express the production function in per worker terms. v. Determine the value of k in three periods...
The production function 9 = k1.270.5 exhibits: a. increasing returns to scale but no diminishing marginal productivities. b. decreasing returns to scale. C. increasing returns to scale and diminishing marginal product for / only. d. increasing returns to scale and diminishing marginal products for both k and I.
1. (The AK Model) Consider an economy with an aggregate production function given by y = F(K) = AK Capital is the only relevant factor of production. A is fixed and represents the productivity of capital. The law of motion for capital is just as in the neoclassical model where s and δ are the savings rate and depreciation rate, respectively. a) Show whether F(K) exhibits constant, decreasing or increasing returns to scale. Com- pute the marginal product of capital....
the second question
In Example 6.4 wheat is produced according to the production function: q=100(k0.6 0.4) Beginning with a capital input of 4 and a labor input of 49, show that the marginal product of labor and the marginal product of capital are both decreasing (Round responses to two decimal places.) The MPK at 5 units of capital is 156.12 The MP at 6 units of capital is 144.02 The MP at 50 units of labor is 8.84 The MP...
1. (The AK Model) Consider an economy with an aggregate production function given by Y=F(K) = AK of capital. The law of motion for capital is just as in the neoclassical model where s and δ are the savings rate and depreciation rate, respectively. a) Show whether F(K) exhibits constant, decreasing or increasing returns to scale. Com pute the marginal product of capital. Does this function satisly the neoclassical assumptions?
The production function q = k0.620.5 exhibits: a. increasing returns to scale and diminishing marginal products for both k and 1. b. increasing returns to scale and diminishing marginal product for 1 only. c. increasing returns to scale but no diminishing marginal productivities. d. decreasing returns to scale.
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