Mathematical presentation of utility maximisation, Microeconomics

Assignment Help:

Mathematical Presentation of Utility maximisation:

Consumer's objective is to maximise her utility by solving UMP. To solve UMP, we set the Lagrange function of the corresponding problem, which is,    L(x1, x2) = U(x1, x2) + λ (M-p1x1-p2x2) Our objective is to maximise this Lagrange function by choosing x1, x2 and λ. For that we differentiate the Lagrange function by x1, x2 and  λ, and set all equal to zero.  

 

547_Mathematical Presentation.png

is the slope of the indifference curve and  p1/p2 is the slope of the budget line. So, at equilibrium we have a slope of the indifference curve that is equal to the slope of the budget line. Again, from equation (f3) we get M = p1x1+p2x2, so budget equation holds with equality sign.   


Related Discussions:- Mathematical presentation of utility maximisation

Explain the issue using a ppf, A country s choice among the production of e...

A country s choice among the production of education and nuclear submarines is an issue of opportunity cost. Explain the issue using a PPF. Resources are limited whereas

Define law of demand, Define law of demand.  Answer:   Quantity demande...

Define law of demand.  Answer:   Quantity demanded increases as price falls, other things constant. In other words, "Other things remaining the same, when the price of a good r

Long-run versus short-run cost curves, Long-Run Versus Short-Run Cost Curve...

Long-Run Versus Short-Run Cost Curves What happens to average costs when both the inputs are variable versus only having one input that is variable (short run)? The Inflexi

Impact of government legislations on business, Impact of government legisla...

Impact of government legislations on business in india Government in India plays a dominant role in the Indian business activity. It directs and regulates the private business and

What is a natural monopoly, What is a natural monopoly Define natural m...

What is a natural monopoly Define natural monopoly as a situation where the advantages of scale a fixed costs are so high that it is impossible to fully exploit them. MC and AC

PRINCIPLE OF TRANSPORT ECONOMICS, IN YOUR OWN WORDS,HOW DO YOU DIFINE TRANS...

IN YOUR OWN WORDS,HOW DO YOU DIFINE TRANSPORT ECONOMICS?GIVE RELAVANT EXAMPLES OF THIS AREA OF ECONOMICS.

Employee communication, Employee Communication More widely called int...

Employee Communication More widely called internal communications, employee communication is must in retaining a happy and productive workforce. Internal communications to e

Oligopoly, little kona is company that is considering enter a market by big...

little kona is company that is considering enter a market by big brew

Limitations of Valence Bond Theory, Valence Bond Theory Explains, but does ...

Valence Bond Theory Explains, but does not predict the shape. Valence Bond Theory Cannot explain colour and spectra. Valence Bond Theory Qualitative explanations; does not expl

Profit after tax, #queIn a particular year, an organization earns cash reve...

#queIn a particular year, an organization earns cash revenues of Rs. 2,00,000. Total material and labour expenses are Rs. 1,09,000. The depreciation claimed on the equipment is Rs.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd