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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 2 Days Ago |
| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider N firms each with the constant-returns-to-scale production function Y = F (K,AL), or (using the intensive form) Y = ALf (k). Assume f (•) > 0, f (•) < 0.="" assume="" that="" all="" firms="" can="" hire="" labor="" at="" wage="" wa="" and="" rent="" capital="" at="" cost="" r,="" and="" that="" all="" firms="" have="" the="" same="" value="" of="">
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(a) Consider the problem of a firm trying to produce Y units of output at minimum cost. Show that the cost-minimizing level of k is uniquely defined and is independent of Y, and that all firms therefore choose the same value of k.
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(b) Show that the total output of the N cost-minimizing firms equals the output that a single firm with the same production function has if it uses all the labor and capital used by the N firms.
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