A firm maximizes its profit function pL0.5 – wL subject to wL = K where LO,5 is its production function, L is an input (labor), p is the market price, w is the unit cost of the labor L and K is a parameter. Profits are maximized for L = 4 with the Lagrange multiplier A - 1 2w I Using the envelope theorem evaluate the marginal effect of a change of w on the maximal profits assuming: p = 10, w = 1 and K = 100 Answer:

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A firm maximizes its profit function
pL0.5 – wL subject to wL = K
where L0,5 is its production function, L is an
input (labor), p is the market price, w is the unit
cost of the labor L and K is a parameter.
Profits are maximized for L
K
A with the
w
Lagrange multiplier A =
1
2wL
-
Using the envelope theorem evaluate the marginal
effect of a change of w on the maximal profits
assuming:
p= 10, w = 1 and K = 100
Answer:
Transcribed Image Text:A firm maximizes its profit function pL0.5 – wL subject to wL = K where L0,5 is its production function, L is an input (labor), p is the market price, w is the unit cost of the labor L and K is a parameter. Profits are maximized for L K A with the w Lagrange multiplier A = 1 2wL - Using the envelope theorem evaluate the marginal effect of a change of w on the maximal profits assuming: p= 10, w = 1 and K = 100 Answer:
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