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The Level Curve of the Production Function


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Problem:

Suppose that when x machines and y worker-hours are used each day, a certain factory will produce Q(x,y)=10xy mobile phones. Describe the relationship between the "inputs" x and y that result in an "output" of 1000 phones each day. i.e. Find the level curve of the production function Q.

Solution:



The level curve is: Q=1000 or y=100/x.
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Carlos Rodriguez <carlos@math.albany.edu>
Last modified: Thu Mar 22 14:26:36 EST 2001