capitulo 5

5.8)
A. U= Xα . Yβ
= α Xα-1 . Yβ
= Βxα . Yβ-1
TMS= / TMS=
TMS= =
TMS=
TMS=
Y=
M= PX X . PY Y
M= PX X . PY Y ()
M= PX X + β px x/α
M= α PX x + β px X/ α
M= PX X (α+β)/α
=PX X
= X
Y=β PXY=
Y=
Y=
= αM. PX-1/(α+β) = βM . PY -1/(β+α)
= -αM . PX-2/(α+β) = - βM . PY-2/(β+α)
=- αM / PX2(α+β) = - βM /PY2(β+α)
ex,px=
ex,px= - .
ex,px= - .
ex,px= - .
ex,px=-1
ey,py= .
ey,py= - .
ey,py= - .
ey,py= -1
ex,px + ey,py= -2
-1-1=-2
B.
Θ=2
SI θ>1 ex,px + ey,py< -2
= 1-θ
= 1-2
=-1
d= -d+1
2d=1
D=
U= X^0.5 + Y^0.5 s.a M= PX X + PY Y
= 0.5 x-0.5
=0.5 Y-0.5
TMS=
TMS=
TMS= Y= .
= Y= .
Y^0.5= . X0.5 Y= .
Y=( )2 . XY=
M= PX X +PY Y
M= PX X +PY(
M= PX X + (
M=
M=
= X
Si θ<1, ex,px+ey,py>-2
Θ=0.5
= 1-0.5
d=0.5(d-1)
d=0.5d-0.5
o.5d=-0.5
d=-1
U= - -
= -x2
=
= TMS= TMS= TMS= =Y2 = = Y=( ) 0.5 X Y= ( ) ^
M=PX X+PY ( ) ^
M= PX X+ PY ( )0.5 X
M= PX X+ PX 0.5 PY 0.5 X M= X (PX+ PX 0.5 PY 0.5 )
X= =
Y=( )0.5 Y= Y=

X= MPY(PYPX+P2X)-1
= -MPY(PYPX+P2X) -2 . (PY+2PX)
= - ex,px= ex,px=
ex,px= . ex,px= ex,px= -
ex,px= -
Y= Y= PXM(P2Y+PYPX)-1
= -PXM (P2Y+PYPX)-2 (2PY+PX) (2py+px)
= -ey,py= - . ey,py= - .
ey,py= . ey,py= ey,py= -
ey,py= -
ex,px+ey,py<-2
- - =-3
=
=
=
= .
. ex,px=
=.
ey,py=
- =

= = - 1.5
5.9)
A)



Para ῡ= . α+β= 1
X= Y=

Ex,Px= -

B)



C)



5.10)
Verificación del axioma
CESTA

1
2
3
1
33
36
39
2
36
36
36
3
30
3638
PRECIO
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