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

What is the major function of commercial banks?, They take deposits which m...

They take deposits which mean borrow money and make loans which means lend money. The interest rate they pay on the deposits is less than the interest rate they charge on their loa

Why firm charges different prices to different consumer, Why firm charges d...

Why firm charges different prices to different consumer?  Every firm needs to maximize its profit. When goods are sold to different customers, each customer negotiate price of

Mr and ar, A monopolist''s demand curve is P=100-2q. find his MR function. ...

A monopolist''s demand curve is P=100-2q. find his MR function. at what price is MR zero

What is cost push inflation, What is Cost Push Inflation Cost Push Inf...

What is Cost Push Inflation Cost Push Inflation :    When a cost of production (e.g. wages) enhances and firms put up prices to maintain profits. Cost increases may occur beca

Households and consumers, What is the difference between houehold and consu...

What is the difference between houehold and consumers?

Mrts., why mrts should convex to origin

why mrts should convex to origin

Imposition of behavior assumptions in analytical framework, Illustrate abou...

Illustrate about the imposition of behavior assumptions in analytical frameworks of modern economics? Imposition of Behavior Assumptions: The second one step for studying

EM13720147ion, Ask questMicroeconomics Reference No.:- #Minimum 100 words ...

Ask questMicroeconomics Reference No.:- #Minimum 100 words accepted#

Concept of money, The Concept of Money: Money or paper currency serves ...

The Concept of Money: Money or paper currency serves three functions in any case: it is the medium of exchange, a store of value and the unit of account. Before paper money was

INDIFFERENCE CURVES, HOW TO REDUCE SMOKING USING INDIFFERENCE S AND BUDGETL...

HOW TO REDUCE SMOKING USING INDIFFERENCE S AND BUDGETLINE

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