A Company has a determined that its production function is the obb-Douglas function f(x,y) = x 2/3 y 1/3 where x is the number of bor hours and y is the number of capital units. The budget onstraint for the company is given by 100x +100y =400000. Use th ethod of Lagrange multiplier to find the optimal solutions.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Please find the attached photo. It’s mathematic for economics, and the questions should solve by the one of these partial derivatives, Lagrange multipliers, first order differential equations. 
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2. A Company has a determined that its production function is the
Cobb-Douglas function f(x,y) = x² 1/3
y where x is the number of
labor hours and y is the number of capital units. The budget
constraint for the company is given by 100x +100y =400000. Use the
method of Lagrange multiplier to find the optimal solutions.
Transcribed Image Text:2/3 2. A Company has a determined that its production function is the Cobb-Douglas function f(x,y) = x² 1/3 y where x is the number of labor hours and y is the number of capital units. The budget constraint for the company is given by 100x +100y =400000. Use the method of Lagrange multiplier to find the optimal solutions.
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