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The aggregate production function
Definition
Imagine the national economy during a short period of time (say one week). We refer:
It is still the case that Y and L are flows whereas K is a stock. During a short period of time, we can presume that amount of capital is constant.
Aggregate production function, or simply production function is a function which relates L, K and Y. Precisely, we presume that Y is a function of L and K:
Y = f (L, K)
In most cases, we won't specify exactly what the function f looks like. Though we always presume that f is increasing in L and K, which is, when we use more labour and/or more capital, we would produce more goods.
Determination of L in the cross model As firms will produce less than Y OPT , they require less labor than L OPT . We can determine exactly how much L they need in order to pro
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