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 are the policies of savings and investment - US Economy, Policies of S...

Policies of Savings and Investment Policies to make sure that savers get reasonable rates of return on their savings have the potential to boost savings rate. Comparing systems

Diminishing marginal returns, law of diminishing marginal returns does no...

law of diminishing marginal returns does not hold then output of the world can be produced in a flower pot. Explain?

Define price elasticity of demand, What is the mathematical definition of p...

What is the mathematical definition of price elasticity of demand The price elasticity of demand is the percentage alters in quantity demanded divided by the percentage change

Balancing needs and resources, Balancing Needs and Resources planning ...

Balancing Needs and Resources planning is a balancing act. It involves the balancing of needs with resources towards set goals. Likewise, educational planning involves the bal

Fiscal policy, 3. Which of the following would not be an expansionary fisca...

3. Which of the following would not be an expansionary fiscal policy? a.Increased welfare payments to the poor b.Decreases in federal taxes on corporations c.A balanced budget d.I

Welfare analysis, Welfare Analysis 1-Of the following four institution...

Welfare Analysis 1-Of the following four institutions for allocating apartment to different people at different prices   i.  The competitive market  ii.  A discriminatin

Short run, A film studio in Hollywood produces movies according to the fun...

A film studio in Hollywood produces movies according to the function q = F(K;L) = (2=100)K^0.5L^0.5 In the short run, capital (studios, gear) is xed at a level of 100. It costs $

Economic profit in a monopoly 2006 ap exam, is it just assumed that a monop...

is it just assumed that a monopoly graph is showing economic profit instead of accounting profit

Supply-and-demand, Suppose we divide Canada into three regions; the west, t...

Suppose we divide Canada into three regions; the west, the centre and the each

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