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

Determine the setting a minimum wage for under-eighteen, Show the possible ...

Show the possible outcome of setting a minimum wage for under-eighteens. Explaining and illustration of minimum wage - clearly set above market equilibrium outlining res

Value chain, V alue Chain It is the collection of activities within...

V alue Chain It is the collection of activities within an organization that allows it to compete within an organization. The activities in a value chain can be grouped into

The theory of consumer behavior, explain the theory of consumer behavior f...

explain the theory of consumer behavior from the utility perspective

Microeconomics, when the demand function is 2Q-24+3P=0,find the marginal re...

when the demand function is 2Q-24+3P=0,find the marginal revenue when Q=3.

Production posibility curve, what do you understand by production posibilit...

what do you understand by production posibility curve?

Demand theory, what are some of recent development in theory of demand

what are some of recent development in theory of demand

Economics and potlatch, I have 3 questions regarding the economics of potla...

I have 3 questions regarding the economics of potlatch, 1.) What is the economic purpose of potlatch? I don''t fully understand this question... I believe potlatch is a gift econ

Explain about the optimal consumption rule, Explain about the optimal consu...

Explain about the optimal consumption rule. The optimal consumption rule: While a consumer maximizes utility, the marginal utility per dollar spent should be similar for all

Institutional intervention on deightweight loss, so this question asks for ...

so this question asks for the deadweight loss if an institution decided to provide this service free of charge. I was wondering if this will achieve the socially efficent level or

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