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econ 102 intermediate macro
na
6
Economics
Undergraduate 3
12/13/2010

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Term
prove constant returns to scale
Definition
F (2K; 2L) = A(2K)^1/3 (2L)^2/3
= A* 2^(1/3)K^(1/3)*2^(2/3)L^(2/3)
= 2*AK^(1/3)L^(2/3)
= 2F (K; L) :
Term
why the constant returns to scale is important
Definition
allows us to model all …rms in the economy
as if there was just one …rm. This is because constant returns to scale implies
that we can just add all …firms up.
Term
write the problem that a typical …firm solves in the production model
Definition
Max profit (constraint by K, L) is
F (K; L) - wL - rK
Term
firm’s profit maximization condition
Definition
produce where MPK=r and hire where MPL=w
Term
why it is useful to re-written the production function in per-capita terms
Definition
per-capita output allows for a more useful comparison of output or income across countires. The
aggregate production function is not appropriate because countries with larger populations will typically have greater aggregate output. Per-capita, or average, income, however controls for population size and is therefore a better measure of economic welfare.
Term
1st period budget constraint
Definition
c+s = y-t
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