Derive the hicksian demand function using indirect utility , Mathematics

Assignment Help:

(a) Derive the Marshalian demand functions and the indirect utility function for the following utility function:

u(x1, x2, x3) = x1 1/6 x2 1/6 x3 1/6    x1≥ 0, x2≥0,x3≥ 0

 [Hint: Try to make use of your results from problem 3 in Assignment 1 instead of redoing all the calculations here.]

(b) Using the indirect utility function that you obtained in part (a), derive the expenditure function and from it, derive the Hicksian demand function for good 1.

(c) Jack and his grandfather are sitting at the dinner table, discussing their lives. Both share the same utility function as given in part (a). Jack is boasting about his $5000 a month salary, with per-unit prices of x1, x2 and x3 being $4, $4 and $16 respectively. Jack's grandfather claims that the old days were much better because although his salary was $500 a month, the per-unit prices of x1, x2and x3 were all only $1. Do you agree with his grandfather?

 


Related Discussions:- Derive the hicksian demand function using indirect utility

The formal algorithm in maths, When do you think you should introduce word ...

When do you think you should introduce word problems-before children master the formal algorithm, or after? What are your reasons for your choice? In any case, no textbook can s

Algebra, Hi, I don''t know how to solve 2(5x+3)

Hi, I don''t know how to solve 2(5x+3)

Limits at infinity, Limits At Infinity, Part I : In the earlier section w...

Limits At Infinity, Part I : In the earlier section we saw limits which were infinity and now it's time to take a look at limits at infinity.  Through limits at infinity we mean

Coordinate geometry, find the value of x for which the distance between the...

find the value of x for which the distance between the points p(4,-5) and q(12,x) is 10 units

Sequence-or-series, in and ap 1,2,3,4,5,6,7,8,9 11,12,13,14,15,16,17,18,19...

in and ap 1,2,3,4,5,6,7,8,9 11,12,13,14,15,16,17,18,19 and like that nonzzero digit find tn Solution) First break the ''n'' number in terms of 10''s power. For e.g if n=3259 wri

Logarithmic functions- general properties, Logarithmic functi...

Logarithmic functions have the following general properties If y = log a x, a > 0 and a ≠1, then The domain of the function

Math help, Can you help me with what goes into 54

Can you help me with what goes into 54

Geometry, calculate the area of a trapezoid with height 8cm base 18cm and 9...

calculate the area of a trapezoid with height 8cm base 18cm and 9cm

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