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5 (3) points) Consider max_(x,y)g(x,y)=4(x-2)^(2)+3(y-1)^(2) subject to x+y=1,AAy. Without solving the problem write down the Kuhn-Tucker conditions.(4) (3points) Consider max_(u)int_0^2 e^(-rt)(2-x(t))dt subject
5 (3) points) Consider\
max_(x,y)g(x,y)=4(x-2)^(2)+3(y-1)^(2)
\ subject to\
x+y=1,AAy.
\ Without solving the problem write down the Kuhn-Tucker conditions.(4) (3points) Consider\
max_(u)\\\\int_0^2 e^(-rt)(2-x(t))dt
\ subject to\
y^()=xy
\
0 and
y(0)=y_(0)>0
\ Without solving the problem, write down the Hamiltonian and the corresponding\ first order condition, especially conditions when
x=1
and when
x=0
.
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