Economics + Calculus

Calculus Level 5

In economics, especially economist that deals with the long run economic growth will deal with the production function like this:
\[q(K,L) = 3ln(K) + 2(L),\] where K = Physical Capital and L = Human Capital. Economists observed that an expansion path for the economy can actually expressed in a function like this:\[ K =L^{2}.\]

Maximize dq/dL along this expansion path.

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