1) A firm uses two inputs K and Lof capital and Labor respectively, to produce a single output Q according to the specific type of production function: Q=F (K, L) =*°L°, a,b>0 The prices of capital and labor are r and w, respectively. ) Find the cost minimizing input of capital (K) (1) Find the cost minimizing input of Labor (L) Note: These are also called the demand functions of K and L. (i) Write down the cost function of the firm.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
Section: Chapter Questions
Problem 15P
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1) A firm uses two inputs K and L of capital and Labor respectively, to
produce a single output Q according to the specific type of production
function:
Q= F (K, L) =k°L".
a,b >0
The prices of capital and labor are rand w, respectively.
(1) Find the cost minimizing input of capital (K)
(1i) Find the cost minimizing input of Labor (L)
Note: These are also called the demand functions of K and L.
(li) Write down the cost function of the firm.
Transcribed Image Text:1) A firm uses two inputs K and L of capital and Labor respectively, to produce a single output Q according to the specific type of production function: Q= F (K, L) =k°L". a,b >0 The prices of capital and labor are rand w, respectively. (1) Find the cost minimizing input of capital (K) (1i) Find the cost minimizing input of Labor (L) Note: These are also called the demand functions of K and L. (li) Write down the cost function of the firm.
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