A competitive firm produces its output, y according to the production function: Y = F(K,L), where K and L are capital and labour inputs. The output price is p, and the prices of K and L are s and w, respectively. Assume that K is fixed in the short run. In addition, assume that the production function exhibits constant returns to scale in K and L. Define the firm's short-run profit function and show that the firm's short-run supply function is linear in K.
A competitive firm produces its output, y according to the production function: Y = F(K,L), where K and L are capital and labour inputs. The output price is p, and the prices of K and L are s and w, respectively. Assume that K is fixed in the short run. In addition, assume that the production function exhibits constant returns to scale in K and L. Define the firm's short-run profit function and show that the firm's short-run supply function is linear in K.
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
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![A competitive firm produces its output, y
according to the production function: Y =
F(K,L), where K and L are capital and labour
inputs. The output price is p, and the prices of
K and L are s and w, respectively. Assume that
K is fixed in the short run. In addition, assume
that the production function exhibits constant
returns to scale in K and L. Define the firm's
short-run profit function and show that the
firm's short-run supply function is linear in K.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb86cd846-f44d-4821-9db0-544db2e43d83%2Fb838f279-2cb8-4362-a289-67aafa993256%2Fr8uuvy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A competitive firm produces its output, y
according to the production function: Y =
F(K,L), where K and L are capital and labour
inputs. The output price is p, and the prices of
K and L are s and w, respectively. Assume that
K is fixed in the short run. In addition, assume
that the production function exhibits constant
returns to scale in K and L. Define the firm's
short-run profit function and show that the
firm's short-run supply function is linear in K.
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