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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Chapter1: Making Economics Decisions
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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
Transcribed Image Text: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.)
Transcribed Image Text: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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