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July 20th, 2010, 10:04 PM  #1 
Newbie Joined: May 2010 Posts: 10 Thanks: 0  Gradient and linear approximation
Assume output, Q, is a function of total capital, K, and labour, L, employed given by Q(K, L) = 10?K?L (a) Find Q(10000, 25). (b) Find dQ/dK and dQ/dL at the point in (a). (c) Use (b) to estimate the increase in production should capital increase to 11000. (d) Estimate Q(9000,30). I already found (a). For b, I found dQ/dK and dQ/dL. But it says at the point in (a). So am I supposed to find it at point Q(10000, 25) or the result from a (which is 5000)? And I have no idea about (c) and (d). Could anyone please solve and explain it? Thank you very much! 
July 21st, 2010, 05:24 AM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Gradient and linear approximation Quote:
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