At a certain factory, the output is Q = 120K 1/2 L 1/3 units, where K denotes

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At a certain factory, the output is Q = 120K1/2L1/3 units, where K denotes the capital investment measured in units of $1,000 and L the size of the labor force measured in worker-hours.

a. Determine the sign of the second-order partial derivative ∂2Q/∂L2, and give an economic interpretation.

b. Determine the sign of the second-order partial derivative ∂2Q/∂K2, and give an economic interpretation.

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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