Maximize Utilitiy Subject to Budget Constraint. Using Lagrange's Multiplier for Optimization

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This is fourth video on Constrained Optimization. In this video I have tried to solve a Utility Function With the given constraint.
The question was to maximize Utility Function with the given constraint.
The solution was like this
1. Set constraint equal to zero
2. Multiply it by 'lambda'
3. Form a Lagrange's Function
4. Partially differentiate Lagrange's Function with respect to the variables sand set them equal to zero
5. Solve for the variables to get optimum values

These videos are specially for Masters In Economics Aspirants who have difficulty in Mathematical Economics .

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seriously its the best channel for economics

judhajeetchoudhuri
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Q(L)=60000L2-1000L3then determine maximum TP .maximize APl and maximum APl

yusufserofta
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Dear Sir, I took 240 on LHS while equating to '0' rather than bringing X1 & X2 to RHS. And my answer for lambda came to be '-6'. Is it considered as a wrong answer because of the negative sign?

pallavirajput
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Sir, How can you conclude that the optimum value is a maxima or minima?

parthibabanerjee
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how is the derivative of x is zero when it should be 1

shinratensie_