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(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?
70 multiply 67
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'
1x1
Introduction: In this project, you will explore a few sorting algorithms. You will also test their efficiency by both timing how long a given sorting operation takes and count
1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
if prices are calculatead with a 35% markup based on cost,what is the percent that those prices should be marked down to get back to their original cost?Choose any convenient cost
v=u+at s=ut+1/2at^2
how can a curve be divided in three equal part?
6 and 3/8 minus 1 and 3/4
a²+b²=1 a+b
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