You are the manager of a firm and you are required to optimize the Cobb Douglas function given the following parameters. The maximum amount of money available is $1600 where the price of K = 12 and the price of L=6. That is PK=12 and PL=6. The function is given as q=K0.4+L0.6. What are the optimal values of K0 and L0?

You are the manager of a firm and you are required to optimize the Cobb Douglas function given the following parameters. The maximum amount of money available is $1600 where the price of K = 12 and the price of L=6. That is PK=12 and PL=6. The function is given as q=K0.4+L0.6. What are the optimal values of K0 and L0?

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter4: Extent (how Much) Decisions

Section: Chapter Questions

Problem 2MC

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You are the manager of a firm and you are required to optimize the Cobb-Douglas function given the following parameters. The maximum amount of money available to spend is $340 where the price of K=8 and the price of L=4. That is Pk=8 and Pl=4. The function is given as q=K0.4L0.6 . What is the Lagrangian? a. None of the above b. K0.4L0.6−λ(340−8K−4L) c. K0.4L0.6+λ(340−8K−4L) d. K0.4L0.6+λ(340+8K+4L)
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