In a manufacturing firm, the total number of units produced is given by the Cobb-Douglas production function
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Question:
In a manufacturing firm, the total number of units produced is given by the Cobb-Douglas production function below:
P (x, y, z) = 60 x^1/6 y^1/3 z^1/2
where x is the number of units of labour, y is the number of units of capital and z is the number of units of equipment.
(a) Show that a doubling of the number of units for labour, capital and equipment will result in a
doubling of production P.
(b) If the firm has a total budget of B dollars and the company can buy x, y and z at $1600, $240
and $200 per unit respectively, how should it distribute its spending among the three categories in order to maximize production?
Related Book For
Strategic Management and Competitive Advantage Concepts and Cases
ISBN: 978-0133127409
5th edition
Authors: Jay B. Barney, William Hesterly
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