2. 일변수 함수의 최적화의 예: 효용함수
[Example 1] Given the utility function , find the marginal utility function and the maximum utilty.
sol) MU=the derivative of utility funtion
The first order condition of the maximum
. ie. Extremum U where
the second order condition of the maximum
Max U where .
the maximum utility=
[Example 2] Given the total-cost function
, write out AVC function. Find the derivative and the minimum value of the AVC function.
sol)
the derivative of AVC funtion
The first order condition of the maximum
. ie. Extremum AVC where
the second order condition of the maximum
Min AVC where .
the maximum AVC=
[Homework] Find the derivative and the minimum value of AC.
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