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

Competitive equilibrium will result in a shortage, a) An enhances in the qu...

a) An enhances in the quantity demanded of a good can happen because consumers expect the price of that good to enhance in the near future. b) A price ceiling imposed above the

Production Possibility Curve, Explain the micro and macro economic issues t...

Explain the micro and macro economic issues that can be represented on the PPC

Withdrawing mrtp restrictions, Withdrawing MRTP Restrictions: The res...

Withdrawing MRTP Restrictions: The restriction on the scrutiny of an investment proposal that it does not violate the provisions of MRTP Act was withdrawn. This freed big bus

Features of bureaucracy, Features of bureaucracy: Impersonal Order: ...

Features of bureaucracy: Impersonal Order: The authority is inherent in the post and not the individual who performs the official role. An official is supposed to have a det

Price elasaticity, why does the quantity of education change in the privat...

why does the quantity of education change in the private universities much more responsive than salt as to changes in price?

Individual demand, INDIVIDUAL DEMAND * Price Changes - Using figures...

INDIVIDUAL DEMAND * Price Changes - Using figures developed earlier, the impact of a change in price of food can be shown by using indifference curves.  Effect of Price

Revenue, what is the meaning of total revenue?

what is the meaning of total revenue?

Effect of gasoline tax with rebate, Effect of Gasoline Tax with Rebate ...

Effect of Gasoline Tax with Rebate Assume -Income = $9,000 - Price of gasoline = $1

Perfect competition in neoclassical economics, Q. Perfect Competition in ne...

Q. Perfect Competition in neoclassical economics? Perfect Competition: An abstract assumption, central to neoclassical economics, in that companies are so small that none can i

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