FInd the profit maximizing levels of K and L as functions of r,w, and p. b) Suppose that r = w= $1 and p =$4 . What is the profit maximizing level of output,y?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.3P
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Consider two firms that produce a single output good,y, using two inputs :Capital, K , and labor, L, the prices of each unit of capital and labor are r and w,respectively. The output good y sells for $p per unit.

Firm A's production function is y = fa(K,L) = K1/4L1/4. The profit function is equals to :   K1/4L1/4 - rK -wL.

a) FInd the profit maximizing levels of K and L as functions of r,w, and p.

b) Suppose that r = w= $1 and p =$4 . What is the profit maximizing level of output,y?

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