Let X = RK. Suppose that u representsp> 0, M > 0, ū> 0, and r(p, M) > 0.if necessary.(1) Show that(2) Letx(p, M)Im(p, M)Sij (p₁)=that satisfies all the axioms. AssumeYou may also assume differentiabilityƏv(p,M)əpiƏv(p,M)Jpməh,(p, u)əp;Define S(p, M) € RKXK as a matrix whose (i, j) component is si; (p, ū), whereū= v(p, M). Then, show that a S(p, M)a ≤0 for all a ERK(3)Suppose K = 2 andv(p, M) = f(M)P1P2 where f: R++ → R satisfies f(1) = 1.² Calculate z₁(p, M). (You cannot usefunction f in your final answer.)

- Utility Function:A utility function is a concept commonly used in economics and decision theory to…

Let X = R. Suppose that u represents p>0, M > 0, ū> 0, and r(p, M) >0. if necessary. (1) Show that (2) Let T₁(p, M) Im (p, M) that satisfies all the axioms. Assume You may also assume differentiability Ju(p.M) Әр Əv(p,M) Jpm əh,(p.) Op; v (p, M) = sij (p.) = Define S(p, M) € RKXK as a matrix whose (i, j) component is si; (p, ū), where = v(p, M).Then, show that a S(p, M)a ≤ 0 for all a ERK (3)Suppose K = 2 and f(M) P1P2

Let X = R. Suppose that u represents p>0, M > 0, ū> 0, and r(p, M) >0. if necessary. (1) Show that (2) Let T₁(p, M) Im (p, M) that satisfies all the axioms. Assume You may also assume differentiability Ju(p.M) Әр Əv(p,M) Jpm əh,(p.) Op; v (p, M) = sij (p.) = Define S(p, M) € RKXK as a matrix whose (i, j) component is si; (p, ū), where = v(p, M).Then, show that a S(p, M)a ≤ 0 for all a ERK (3)Suppose K = 2 and f(M) P1P2

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Let X = RK. Suppose that u represents
p> 0, M > 0, ū> 0, and r(p, M) > 0.
if necessary.
(1) Show that
(2) Let
x(p, M)
Im(p, M)
Sij (p₁)
=
that satisfies all the axioms. Assume
You may also assume differentiability
Əv(p,M)
əpi
Əv(p,M)
Jpm
əh,(p, u)
əp;
Define S(p, M) € RKXK as a matrix whose (i, j) component is si; (p, ū), where
ū= v(p, M). Then, show that a S(p, M)a ≤0 for all a ERK
(3)Suppose K = 2 and
v(p, M) = f(M)
P1P2

where f: R++ → R satisfies f(1) = 1.² Calculate z₁(p, M). (You cannot use
function f in your final answer.)

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