· created date: 11/19/2010 9:00:25 pm

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a-oNCoffiNCIa ppnrstra Max z =PQ-CT(Q) = 9=o <+ P=CIng - Q', P'=PD(Q-) AQ Max z. =P(Q)Q-CT(Q) 4=O o Rms-Cm.o <+ P(Q aQ [ân=n =P(Q,+Q.)Q,-CT(Q,) -J AQI - JFR'=Q'(Q,) _ =p1q,+Q.)Q,-cr(Q=)l ân -^lRR,=q,(Q=) - Luq *' l.È=o ltvta^ n, =p, iq, .Q, )Q, -CT(Q, ) ] aQ' J FR, =Q, (Q, ) = lv* rr, =P,(Q,.Q,)Q,-cr(Q:)l ao -nlm,=Q,(Q,) Iaq -" L{@.':',r:';,..a e', P'=P'(e') ..i J nr{ u) ^t { r.l I -:i . ' .::, lúax n =P(Q,+QrXQ,+Q, )-CT(Q')-CT(Q, ) Max n =P(Q, )Q, +P(Q,)Qr-CT(Q,+Q') |;4.ax n, Max tr, a' Ì//iax n =J elqaq-cr1ql :]- *=oo p(e')=cme = e'. e'=[n*",cme] dQ Q,', Qr', P'=PD(Qr' -t-Qr') + Q,', Q.-, P'=PD(Q-) e,-, e;, q'=qo(e,-), R'=Ro(e,' ) mg=cmg, L t,o,[t*!)= c.r'*, ms=cmsz e erOl[r *l) = c*e, í )l l+-1 \ á/ -lE jaq' ldn l.:- IdQ, + P,', P. =o P') P') =Qt =p, ( =P, ( Q, FR, R, P'=Cmg,=Cmg, Q,.,,'=Q"(P'), p.=CmBz , q,=qDlP';, q"=0 P'=Cmg' Q,=0, Qr=Qo(P') f9=o' (R.P,)P,-CT(Q,(R,P,)) I at, -" t' , (q,B)P,-Cr(a, (P,,P,))l an =s1 I aP' '< z F J è < o (, (A rd Q,', Qr", P,'=P,o(Q'' 'Qr'), &'=P,o(Q,',Qr') CT,=CT, = CT,<CT" =+ Cl>Cl + ,"n12 , e,'-e, o (R-,&'), Q,'=Qr" (R',Pr' ) 1o) Encontrar a FR" : Max tí, =P1q,+Q')Q'-CT(Q') = *=O + Q'(Q,) -de,? 2" ) Substituir no problema da lider: Max n, =P(Q, +Qz (Qr ))Qr -CT(Qr ) + 3") Substituir Q,' na FR, + Q. , P' : Po(Q,'+Qr') I") Encontrar a FR, :Max a' =Pr(Q,,Q')Qr-CT(Q') - k=O + Q,(Q,) 2') Substituirnoproblemadalider: Ma^ zr' =P'(Q,+Q'(Q,))Q'-CT(Q,) + âot-n ^ n ãe, -" ' 3") Substituir Q,' na FR, = Q. , P,' = P,o(Q,-,Q.'), Pr' = fro1q,-'Q..) l") P=Cmg, = /(Q.) 2")Mara,=Q,(P)P-CT(Q,(P)) - *=0 =+ p' dQ, 3") SubstituirP'em P=Cmg. =,í(Q,) = Q, l") Enconrrar a FR, : Max ;r, =Q,(P, ,P')P,-CT(Qr(q.Pr)) = +=0 == P,(P' ) âp. ' r- ?') Substituirnoproblemadalicler: Ma-tz, =Q, (P,,P,(q))P,-CT(Q'(P, 'P,(P,)) => ï=O = q ' dP, JMax zr, =Q, lM* z', =q c - a É t/) (, H ôì o od ='i àé 9H o ì (J õ# É.9'ã Ë* to xt9 - 8c{ <d)c3 - o-0) -EO- Xro Ë q rÍì tt) Í4 H z íi ,J

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a-oNCoffiNCIa ppnrstraMax z =PQ-CT(Q) = 9=o <+ P=CIng - Q', P'=PD(Q-)

AQ

Max z. =P(Q)Q-CT(Q)

4=O o Rms-Cm.o <+ P(QaQ

[ân=n=P(Q,+Q.)Q,-CT(Q,) -J

AQI - JFR'=Q'(Q,) _=p1q,+Q.)Q,-cr(Q=)l ân

-^lRR,=q,(Q=) -

Luq *'

l.È=oltvta^ n, =p, iq, .Q, )Q, -CT(Q, ) ] aQ'

J FR, =Q, (Q, )

=lv* rr, =P,(Q,.Q,)Q,-cr(Q:)l ao -nlm,=Q,(Q,)

Iaq -"

L{@.':',r:';,..a

e', P'=P'(e')

..i J

uãnr{u) ^t{ r.l

I

-:i. ' .::,

lúax n =P(Q,+QrXQ,+Q, )-CT(Q')-CT(Q, )

Max n =P(Q, )Q, +P(Q,)Qr-CT(Q,+Q')

|;4.ax n,

Max tr,

a'Ì//iax n =J elqaq-cr1ql

:]-*=oo p(e')=cme = e'. e'=[n*",cme]dQ

Q,', Qr', P'=PD(Qr' -t-Qr')

+ Q,', Q.-, P'=PD(Q-)

e,-, e;, q'=qo(e,-), R'=Ro(e,' )

mg=cmg, L t,o,[t*!)= c.r'*,

ms=cmsz e erOl[r *l) = c*e,

í rì)l l+-1\ á/

-lEjaq'ldnl.:-

IdQ,

+ P,', P.

=o

P')

P')

=Qt

=p, (

=P, (

Q,

FR,

R,

P'=Cmg,=Cmg, Q,.,,'=Q"(P'),p.=CmBz , q,=qDlP';, q"=0

P'=Cmg' Q,=0, Qr=Qo(P')

f9=o'(R.P,)P,-CT(Q,(R,P,)) I at, -" t'

, (q,B)P,-Cr(a, (P,,P,))l an =s1

I aP'

'<z.íFJ

è(â<

o(,(Ard

Q,', Qr", P,'=P,o(Q'' 'Qr'), &'=P,o(Q,',Qr')

CT,=CT, =CT,<CT" =+

Cl>Cl +

,"n12

, e,'-e, o (R-,&'), Q,'=Qr" (R',Pr' )

1o) Encontrar a FR" : Max tí, =P1q,+Q')Q'-CT(Q') = *=O + Q'(Q,)-de,?

2" ) Substituir no problema da lider: Max n, =P(Q, +Qz (Qr ))Qr -CT(Qr ) +

3") Substituir Q,' na FR, + Q. , P' : Po(Q,'+Qr')

I") Encontrar a FR, :Max a' =Pr(Q,,Q')Qr-CT(Q') - k=O + Q,(Q,)

2') Substituirnoproblemadalider: Ma^ zr' =P'(Q,+Q'(Q,))Q'-CT(Q,) + âot-n ^ nãe, -" '

3") Substituir Q,' na FR, = Q. , P,' = P,o(Q,-,Q.'), Pr' = fro1q,-'Q..)

l") P=Cmg, = /(Q.)

2")Mara,=Q,(P)P-CT(Q,(P)) - *=0 =+ p'dQ,

3") SubstituirP'em P=Cmg. =,í(Q,) = Q,

l") Enconrrar a FR, : Max ;r, =Q,(P, ,P')P,-CT(Qr(q.Pr)) = +=0 == P,(P' )âp. ' r-

?') Substituirnoproblemadalicler: Ma-tz, =Q, (P,,P,(q))P,-CT(Q'(P, 'P,(P,)) => ï=O = q' dP,

JMax zr, =Q,

lM* z', =q

c-

a

É

t/)

(,

Hôì

ood='iàé9H

o

ì(J õ#É.9'ãË* toxt9tì- 8c{<d)c3- o-0)-EO-Xro Ëq rÍì

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