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PESQUISA OPERACIONAL I
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ffi � � � # � � ffi $ % � � � � � � � � � & � � � � � ' � � � � � ffi � � � � ffi � � � ff � � ffi � � � � � ff � � � ffi (
) � � ffi � ffi � ff � fi � � � ffi � � % � � � ffi � � ffi � ffi � � # * � + ff � � , ff � � � ffi � � �
* � � � � � � � � � + � � # ff � ff ffi � ffi - + � � � � ffi ff � fi � � � ffi � � � ffi � � ffi � � ffi � ffi
� # + # & � � � � � � � � � � � � ff � � � � � � � ffi � (
	 . / 0 1 2 1 3 4 5
6 ( 7 # ffi � 8 ffi � ffi � � � � # � � � ff � � " � � � � � � � � * + � � � � � � � � � � � � 9 6 : # � � � � � � � ffi � * � � % � , 6 6
# � � � � � � � � � � ffi � 6 ; # � � � � � � � � % ( < ffi � ffi ff � � � + � � + # � � � � � � % � � � � � � � fi � � � � =
# � � � � � � � ffi � * � � % � , 6 # � � � � � � � � � ffi � 6 # � � � � � � � % ( < ffi � ffi 8 ffi � � + # � � � � � � � ,
� % � � � � � � � fi � � � � 6 # � � � � � � ffi � * � � % � , = # � � � � � � � � � � ffi � � # � � � � � � � � % ( > �
+ # � � � � � fl � � � � � � � ff � � ? � @ @ , @ @ � + # � � � � � � � ff � � ? ; @ @ , @ @ , - + ffi � � ffi � ff � $ ffi � � �
� ffi � ffi � � ff � � ffi � 8 ffi � ffi � � � � � � 8 ffi � � , � � # � � � ffi # ffi ! � # � ffi � � � � + � + � � � A B � � � � � � �
ffi � � � + $ % � ' � � # ffi � � ff � � � � � # ffi , � � � � � � ff � � � � � + ffi � � � ff � � � ffi (
= ( 7 # ffi � # ff � � � ffi � � ffi � + * + � � � � � ffi # � � C D � � ff � � � + � � � � � # � � � � � � 9 � � � ff � E
� � # = # F � � � � ff ffi $ � � � 8 � � * � � ffi � � � G # F � % � � � 8 � � * � � ffi � � � � � � ff � H � � # � # F
� � 8 � � * � � ffi � � � � � # F � % � � � 8 � � * � � ffi � � � ( 7 # ffi 8 fi � � � � ffi ff � � � � � ffi � � ffi � � ff � � � ffi � I @ # F � �
ff � � � + � � � � 8 � � * � � ffi � � � 6 = @ # F � � ff � � � + � � � % � � � 8 � � * � � ffi � � ( J + ffi � � � � � ffi # � � C D � �
� � � ffi � ffi � � ff � � � ffi � � � � ffi � + * ffi � , � � # � � � ffi # � � � # � ffi � � � + � � � , � � � ffi � + * + � � � �
� ffi # � � C % � E fl � � ? @ , � @ ff � � K # � � � � H , ? @ , G @ ff � � K # A B � ffi � � � � � # � � � � � � �
ff � � * � ffi # ffi $ % � � � � � ffi � (
� ( 7 # ffi � � � 8 � � � ffi � � ffi ff � � � + � � � � � � ff � � � � � � � � � � � � � � � � � � 9 � C � � � � ffi � � � � � � # � (
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� � � � � � � � � # � � � # + # � + � � � � � 6 + ( # ( � � � � � � � ffi � � � � � # � fi � � ffi � � � � ffi � � # ff D � #
- + � � � � ffi # ff � � � + � � � � � � # " � � # � 6 @ � � � � � � � � � � � � � � � C � � � � ffi � � ff � � � � ffi � - + �
� � � � ffi � � � � � � � � 8 ffi � � � � ffi � � � � + � � ffi � � � ffi # � � � � - + � = @ ( � # � � � ffi � � � ' fl � ffi ff ffi 
� � � � � � + # � � ffi � fl G @ � � � � � � � � � � � � � � � � � # � � : @ � � � C � � � � ffi � � ( E � # fi - + � � ffi �
� � ff � � ff ffi � ffi $ % � � � � � � � � � � � � � ff � � � � � � � ffi # 6 M @ C � � ffi � � � � ff � � ffi $ % � , � � � � � - + �
� ffi � ffi � � � � � � � � � � � � � � C � � � � ffi � � � � � � � # � # = C � � ffi � � � � � ffi � ffi � C � � � ffi � ffi � � � �
� � � � � � � � � � � � # � � C � � ffi � ( N � � # + � � ffi ff � � ffi � � # � � � � � � � ff � � � � � # ffi (
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< 6 fl � � O ? 6 ( @ @ @ � � � + � � � + � � � fi � � � � � < = fl � � O ? 6 ( M @ @ ( E � # ff � � � ffi ff � � � � � ffi
� � = @ C � � ffi � ff ffi � ffi 8 ffi � � � � ffi � + # ffi + � � � ffi � � � � < 6 � � � � @ C � � ffi � ff ffi � ffi 8 ffi � � � � ffi �
+ # ffi + � � � ffi � � � � < = ( � � � # ff � ffi � + ffi � � � ff � � � + $ % � � � � ff � � " � � � ff ffi � ffi � � � � fl � �
6 ( = @ @ C � � ffi � ( E � � # ffi � � ffi � � ff � � ffi � ffi ff ffi � ffi � ffi � ffi ff � � � + � � fl � � G @ + � � � ffi � � �
ffi � + ffi � � � � < 6 � � @ + � � � ffi � � � � � ffi � + ffi � � � � < = ( J + ffi � fl � ff � ffi � � � � ff � � � + $ % �
ff ffi � ffi - + � ffi � # ff � � � ffi # ffi ! � # � � � � � + � + � � � � � � � � � � � � � � A
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fl � � � : + � � � ffi � � � ff � � � � ffi ( 7 # ffi ff � � � � ffi � � # � � � ff � � " � � � � ffi � � � � ff � � ! � ff ffi � ffi
� � ffi � � # � � � ffi � (
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+ � � � ffi � � � � � ff � � � � " � ffi (
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C � � ffi � ff ffi � ffi 8 ffi � � � � ffi � + # ffi + � � � ffi � � � � < 6 � � C � � ffi � ff ffi � ffi 8 ffi � � � � ffi � + # ffi + � � � ffi � �
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T = ( > � � � � � � � � � � � � � � 8 � � � � # � � # � � � � � T = , ffi � # ff � � � ffi ff � � � � � ffi ff � � � + � �
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- + � � ff � � * � ffi # ffi U E U � � # = @ # � � + � � � � � # & � � � ffi � 6 # � � + � � � � ff � � ff ffi * ffi � � ffi
� C ffi # ffi ffi ffi � � � $ % � � � � @ ( @ @ @ � � � � � ff � � � ffi � � � � � , � � - + ffi � � � � ff � � * � ffi # ffi U H U � � #
6 @ # � � + � � � � � # & � � � ffi � 6 # � � + � � � � ff � � ff ffi * ffi � � ffi � C ffi # ffi ffi ffi � � � $ % � � � 6 @ ( @ @ @
� � � � � ff � � � ffi � � � � � ( V � � � � � � � � � � � + # ffi � � # ffi � ffi , � ff ffi � � � � � � ffi � � � � � � � � � � � � + � �
� � � � # " � � # � , ; # � � + � � � ff ffi � ffi � + ffi ff � � ff ffi * ffi � � ffi � - + � � ffi C fi � � � � ffi ff ffi � ffi # ffi � �
� � M @ # � � + � � � � � # & � � � ffi ( J + ffi � � ffi � � � � � ff � � � � # ffi � ffi � ffi � ffi ff � � * � ffi # ffi � � � �
� � � � � � ffi � � ffi � ffi � ff ffi � ffi � � � � � � � & # � � � # fi ! � # � � � � � � � � ff � � � ffi � � � � � A
L
� � � � � + ffi
� # � � � � � � � � � � � � # ffi (
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� � # � � � ff � � � � � � � � ffi � � � � � � � � + � � � � ff � � � + � � � � � , O 6 , O = � O � ( 7 # � � � + � � � � � � �
� + � � � � � � � � � � � + � � � � � � � � � � + ffi ff � � � � � � � � � ffi � � � � � � 8 ffi � � � � ffi � = ff � � � + � � � < 6 �
< = ( W � � ffi � � ffi � � � � � � + � � � � � � � � � + � � ffi � � � � � � ff ffi � � ffi # � � � � � � � � � � ffi � � � � � �
R�SUHoR�GH�FRORFDomR�QR�PHUFDGR��YHUL¿FRX�VH�TXH�3��GDULD�XP�OXFUR�GH���
6 = @ , @ @ ff � � + � � � ffi � � � < = , ? 6 ; @ , @ @ ff � � + � � � ffi � � ( � � � ff ffi � � ffi # � � � � � � ff � � � + $ % �
8 � � � � � � + ffi � � * + � � � � � ffi � � � ffi � � + � � � � � � � + � � � � (
< � � � + � �
O � � + � � � O 6
ff � � + � � � ffi � �
O � � + � � � O =
ff � � + � � � ffi � �
O � � + � � � O �
ff � � + � � � ffi � �
< 6 = � ;
< = G = �
S � � ff � � � � � � � � ffi � � � �
� � � + � � � � � � # R �
6 @ @ I @ 6 = @
J + � ff � � � + $ % � # � � � ffi � � � < 6 � < = � � ffi � # ffi � � � � + � � � ff ffi � ffi ffi � # ff � � � ffi A
L
� � � � � + ffi
� # � � � � � � � � � � � � # ffi (

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