What can you say about the returns to scale of the linear production function Q = aK + bL, where a and b are positive constants?
Answer
constant return to scale
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if we increase the input n times
output =a(Kn)+b(Ln)
=anK+bnL
=n(aK+bL)
=n(Q)
the output increases by the same time as the input increases, the input increased by n time, and the output increased by n time.
What can you say about the returns to scale of the linear production function Q =...
. Discuss about returns to scale of following production function. (a) f(x1, x2) = x a 1 +x a 2 b , where a and b are positive constant. (Hint: ab < 1, ab = 1 and ab > 1.) (b) f(x1, x2) = √ x1 + x 2 2 . (Hint: Does it satisfy the definition of increasing return to scale, constant returns to scale, or decreasing returns to scale. How can this be?)
Let the production function be q=ALK. The function exhibits increasing returns to scale if O A. a + b < 1 O B. a + b > 1 OC. a + b = 1 O D. Cannot be determined with the information given
a. What can you say about returns to scale?
options are: constant returns increasing
returns decreasing returns
b. Are economies of scale present?
Yes or
No
c. If, in this automobile plant, it takes 32 workers and 92 units
of capital to produce 200 automobiles a day, how much labour and
capital is involved in producing 300 automobiles a day?
_______ workers and _______ units of capital
The graph below illustrates a series of short-run average cost curves, numbered AC through AC4,...
VK2L has 8. The production function q returns to scale.
For the production function Q = 3L + K, returns to scale: is constant is increasing is decreasing Can be increasing, decreasing, or constant depending on the values of Land K.
Consider the following production function: q= 4L+K. Which term describe this production function's returns to scale? Select one: a. Constant Returns to Scale b. Increasing Returns to Scale c. Decreasing Returns to Scale
Consider the following production function: q= 4L+K. Which term describe this production function's returns to scale? Select one: a. Decreasing Returns to Scale b. Increasing Returns to Scale c. Constant Returns to Scale
Returns to scale. A production function has constant returns to scale with respect to inputs with inputs K and L if for any z > 0: F(z · K, z ·L) = zF(K, L), For example, for a production function with constant returns to scale, doubling the amount of each input (i.e., setting z = 2) will lead to a doubling of the output from the production function. A production function has increasing returns to scale if for any z >1: F(z ·...
What returns to scale does this production function have? Q = L + K Q = 50LK; • w = per unit cost of labor; • r = per unit cost of capital Use MPL ... (1) & Q = 50LK .... (2) to find out mathematical expressions of L*, K*and TC(Q,w,r) = wŁ* + rK*
Consider the following production function: q= 4L^0.7K^0.4. Which term describe this production function's returns to scale? a. Decreasing Returns to Scale b. Constant Returns to Scale c. Increasing Returns to Scale