Matematica Aplicata in Economie -Suport de Curs

MATEMATIC APLICAT N ECONOMIE

GEORGIANA POPESCU

Forma de nvmnt: ID, anul I, semestrul I

!" #

$ %

&

'!(

!%(

) * !" "$%$""

&'%("

)*##+# %

(+(( )

,!(+% #

% &

!-%

, . !" ##"$%$""

,

*

&'%(", &

+)+##-## . .//- ./,/0"1 ././+'

./2/ .

** ) !" )#"$%$""

*

)

&'%("* ))

"#$ ).0 )#-((( )*

'+(-( )*

/(-( .&

$-(-(

0"

.&

$-(-(

%+%1%

2

.

)$-(-(

1((2

.

..0 # !" # #"$%$""

0

#

&'%("0 #

%

#

1 #) #.

-(""( *

3"" *

3, *

3"% **

3 &&

& 1 &) !" &.#"$%$""

1

&'%("1 &

& #

(4%()

)%

) 5-

)5- .

)!!(

.2 !" #"$%$"

"2

&'%("2

' ( # )

(4%(. )

./%" .

. % #

.56-%"

.%-

.%-

.

.)$6-

.."(' )

)*3 . !" .)#"$%$"

"3

..

&'%("3 .#

)*+,-./,012/23

! "# !" !

$

%

# % "& "

% &

% '

%# %(#

( %

# &" %(

)% #

% "

"(

*+

$ % !

,

$"" #!

,

$ % ! *

" * # %

%(%"*,

$ % *

%# * # %

% -

$ !

.**

"

%

+

/ *

%

,

/ " *

"

,

/ (

*

*

/ (

/ .%"

,

/ %

%

/ * * %

%

/ *

#

%#

/ %*

%

%

0+

! "#

#+

"

%

*

#"%*

*

$%!

$%*

' 1 !*# (

$! %

& !*,

% * ! ( *

2 % % #

# *

" # # *

" * ! %#

* *

# *

% +

2 %# %

!* #

3 # %

!*, " %

%#

%&%!*

* *# %& %

!*#*

&! "#

% * #

( # "%

#%#

*#.

% % !&

% % #

%!.

%"

"

%-!*

# # %

'!

2 % %

%#%!*%*

! *# # * #

! .4+

-5

()*

+#)

(5

")

"5

"*

)

5

,%

5

,*

%

*5

2 % "# ! (# % ##

!# ! # "% (

'

+#"

* - % %

# # % %

## *

(-#!

./

! *

$

!4

% " "*(# !4

-%

%

% % ! "

!5

"

"

%" *%*

'

#

! !

*#%

%4!%

* ! %#

0%#**%

* "

*#*#

(*%

*!"

#

% " * # %

%& % !* 2 %

# %

!* *# # % # 6 0

! # "

#

!! #

!&*"

0%

*!*

%

!

%#-

'"7

&*

"!5

8, 9,:,1,;

'

*

"

%&

!* *

%0

2 *

+%!

10

**

#!"

**

%%!

2

'9

"

%&

!* !

2 " #

* % # & !

*"

%*%%

%

2 *

*% " ! % %

!* * %

% !*,

* ! "#

(-

,0

6 %

: 8 7%'* :5* ((2

% %* 5" " "* 6 E*$$2

% %*5" " "* 6 B* (((2

% %* >* :>*5" " "*6E>*$$2

' =>B*>B>*7#*B6*5""

"*6%6!**(((2

" >*%'3*" 8'*6!*$$$2

( >* ! %* " 3

%'"*6%7*%$$(

$G %* %5 * ! %* %' $ %

"8(3"(*6E>*$$'2

!

"#$

!%&! %%'()("%*+

,- . #- &

$

/.0

!" #$" #%&&' %"#' #(#(#)&%(*#(#(##)& "#' "#+ (#(# #'(( ,(*(#'* # * * (#(#(##%* **#(#)---#* (#(##(#"#(,)--- ! . *(# ( ,(*(#'* % ' , #(# "# *( " (, #(##(+*(#-

-/-( (#(##' 1

!(#(#' "!#

' "!!#

$ $ ' "! !$#

%

$ $ #(#

& ! $ $

%2 " $

' ! $

$

(!

(!) #

*+, ! !

!$+

*#' /' ! +

-0-#%(#(##

! $ $ #

(!-!!#

$

( ! ! *# % (#(## (. - ! - ! ! $!)# -!/ !-

0!$!

1$ !%2

"! $

" $ - -

2")!#

*#' 0" !

--#(##"#+

#(#

&)!!

()!

%2

" ) $ - +

!$!

! ! $ ! )!)') !

3

!4(!)$#

! ! ( )$ + )

3)!!1 !$ ! $ ) !!+

#

*#'

" ! ) $+$!#

% $

-1-#*#(#(##

5 +$ 6 1$) !

)+01#

77777777777

! !

1$#

%2

" ! $ $ $#

$ $

$ $

! $-!!!#

!!)+ $ $ $ 8+ &9: '! -

)+)!#5!-!!)!#

! 8 !:$)!

$

! - $ $ *+.;!)#

$ $ 3 #

$

)!11#

$

*#' 1

"! ! - $ #

$ $

$

$

/

("#

% " ;-!;#

$

,3 0 0 0

4

"

$ /)0 !$!

" ! ! - $ #

$ $

$ $

2"" !#

$

/

$

"!!#

$ /

$ /" 1 !!#

/

" ! ) $ +$ !#

%

3 5- !#

/

;+!/

; ! )$)++! ! /

; ! ! 1

24((#5##% " !+ !! !!! +!

$0#3567&0

$ " )!$+$ #

: !--/

): ! - $ ) 8)= :

(+.=.+= !

$0#357-578#

57&0

%% 0! ! - $ #

$ $

$ $

$ 0 #3 567 &

0

$ 262 3$ 22 2 7 2

*#' /" ! 62

*#' 0

$1#

*#'

)

*#' 1 1

("#

% /

)/

-

8869

% 46$ > '$ *$ ?6 "$ ($@!3$3A6A3$$-

@("B$>$%$%/

C 4$(.%2 $B!$

!

"

##$%

'# ! '## ( '#)#*

!

+##,--()#*

!

"

!" #

#"$ % $ "

"

!

&'%("

./0.123.

$%&'()%)%$*&)+,$*)-,)*).//$)(0.%)*.$'(*(102)$%%()3/$%.*)102)$%%()02%()%%($3/ &()* ' 102 (0($ 0 102$ $%%($ &,))2)%0&)3/ $ (02* 2)%0&)') &04') . $ ,5''5*(%)')'4).(%)')%')1)($)-%1)'+(6%$%)* ')) ()2 (0,)4'$ ,%$ )% 1)()%*)+%6'%$7

7"70*)&)102$$%%($)1*)8 - '# - # -# ) !

45

*

4

- 4-6

)2$&))1')(*)"

4

-7

7#7%()%.%$)102)$%%()

0 - 8--!'8##5

9 #4 4

4:4 '## ;# 4 4:4 # 4 ##)##6

9 4 4 - '

* = - - ! 4

#-;--4%5

7!702(0($)102)$%%() 4 >- %;

-# - 4 -# 8?4 8 #4

4>--5

-4!! -@-#A-!+

0)%%)9%)0)2':;',)%)

4

4 4

4 4

4 4

)2$&))1')(*)# # $% #B717

*

=-#5

4

!-5

%-##8#

-#5

' (* 4

4

%5

5

2 # - - - -C% %;>4-'-C%5

4 4 4 4

- #

D

)2$&))1')(*)! - -%# - D 7

17

* =-#5

4

!-5

%-' -#'#D4;##-#$%>- 3-C%%;#)#

4'#5

'5

##$%!

7>7&())'102(0($)102)$%%()

2)%0&,)(%0'0.,'0'0092)%0&,)(%0'00%00'

9 -#)8>-#6---- ( 8>-4#)

- *6

9 -);89;8# ( -##-6#-

#-#4)8;8# *6

9 #- ; ( 8# *4 % - - ;4 -# 8? 8>-#,- ('48#*6

9 -#)##4#

6- # --4 ? -# 8? - 8# )- 8 #6

9 - # ? ? >- ' 6 8 - - - 4 8#>-###4

*

=-#5

4

=

>--#%4?-#5

(>-;#*

%-#5

)2$&))1')(*)=-#5

4

* =-#5

4

%-'>- 8- >-3% - -C% #) - # 4 8 # -5

''5

5

(#*

(>-;*

-4%5

%8--;>-#

8

##

E

(#*

(>-;*

!

)%&)%0),')0#;? # $% - - # 5

6

6

"

0#;? # ,-- - - # 5

6

&

6

0#;?'##--#5

+

6

F

:%&&,&'

0#;?#,----###5

6

6

"

6

6

&

6

+

6

0#;?#$%--#

#5

G

6

H

6

D

6

6

0#;? '## - - # ##5

"

6

6

&

6

:%&&,&'

@A 28'--#-5

- - 89 ;4 8#- 8#) --6

-9!!6

-9;6

-9 #5#$%4#,--4'#!'##

:AB0%%&)%%0)C%%'(=-'###-#8?#5

,(**

-%-)' ( - ' ( "" ./01

.20+"3("+

= - # ! - - - # -)'!;'-5

( - " "" ( "" ./0$

'"("%!

.20+"3

("+

" 1- ! --

(-.40+"3("+

7$5

#5* #-#$%6%* #-'#-'##6* #-#,--

#,-#B'

- :?: @A- :: :A A D :A

AA

)2$&))1')(*)" - 4 # 4

-

)2$&))1')(*)##$%-#8;#

8 # - D4 - '# #)2$&))1')(*)! 1>- >#4 -

EEA?

! ,C4 I# 34 4 J-C =4 # 44KC#K449"""$

=4I!4HHD

C =4 :' " 4 1 !))4I!4HGH

" 1## 4 ,))# 3 9 ;%'4 3%4 -HH"6

4 9" " "4 0'-#!4 DD6

& 49" " "4 C'4 #!HHH6

+ 4 -,4 3#,49" " "40,4#! DD 6

F -,C4,C,4#=4C49""

"44I#4HHH6

G -,4%'+*" 5'44#! DDD6

H - ,4 1 4 " +

%'"44- DDH

D- 4 -%! 14 1 4 %' $ %

"5(+"(40,4#! DDF6

! "

"

! ##

#

#

!" #

#"$%$""

#

&'%(" #

!" #$" #%&& ! ' () # #* #" "#( # "# )##** )#+& , ) '# ' (## ( )*# -) "# )##)**)#+& )(# () " ### )# )# - "# (#).+/// (# ) #)*( )(. ! #)*( (()(* )-)#()*#'-#,)"##+/// "0 !% ) *, )##)**)# #( 1( #)**/

/2) '#

$! % & & ! &

!! & '

(%)!*+ & ! ! , &+!&'

! & - -'

'!+ % - % !&+

.! ! / !0 / 01 - .! ! %!&2.3/!0+/!0+4.!/ !.%.!!+&!&.!3+5+

!2.!--

' !! + .! & 2 %)! ' 4.! !+&.!--)2 '+ ! 3/

!! .! .! % - ! .!

'!+ & %, 2 2&! .! 6 ' 0 '+ .! . .! 6 ' 0

&!2&-2

'+.!2&! % - !+ 2 & !

)

!%,&&.2&!.!3

7'21&7'217'

8.!.!2&-!+&

' 2 9- 2 & ! 4.! + %+ ! !.! + &+ & ' 2 .&2!-

(#- 225'!&.!!2!

4.! ! 9 % &.+ & .! ! : ! & .! 2 & - %! 2 - &+ ! " "

&$&":! !&2&!+!"*

%2!

(#- 4;'!&!+&!2.! 7 6 ' 20 . . &

&.3

(!

!! & .! .! -- & 2 ! & -- ) ) 2&+

& .! 6 -- 2 &0 ! .!

(#- 5: ! & # &!.!3

76'!50&76'!076'!+5"076'!0

! 2 !&)&.! 5 .! , % . - .!??

!!2'!!

.! & '+ ..!!2.!

: + %! %&

!&3 .! +.!.

!&+3 1 & .! +

.!&+3 : )! & .! !! !! .! 2 .&! & !'3 '5 (.! !+&

5 2 %1 ! !!%&++1%!

.!&.!!+@.!!%,&.*

' ' ' '

' ' '(.!

&.%&-*8.! %,&. ! .!+ 2 !

,&2 ! !!+ !

+ !! .! ! & +

!! +&!!+.!!3

(#- 6

& 5 + + 2+ .& 2 &! ''& A& .! ! ) .! . . )!& .!?4!.!2.)

9!! !! !! - !! !!+.!!.&2!!

/4/- #)**

!&&.!2&&!2&-

'!+-+!2!2&.! ; !+ ! 2!!&-&)!"&.!

.!&'! & - & !-.2!&-'(-*3

!

) &!+ ! + - &?!? !

,.!/0+!!!.!!3

!-. &! .! / 0 ) &.! !& - .!?@

$!.3

& !.!.3

.! 2 & ! & & && & .! , &

(#- B&!&+/025/0&.)&)+:.!3

7",'-. &7",'-. & .! &&?&.!

7"#)# #)** )#8

.!!&. 3 1 .&+ & ! & & ! ! & - . #2!!&-

+& .!1 +& .!!15 +&2&&&1" " +&2&&&1

+& 1 +& 1

- 8

: # +/* )! & 2 /(*#!2 + $# +3

$#

)#(89-)#(#)** )3: ! ! & .!

%%

$#

(#- =4.!& .2 % - ! = &! && &&?

(#- >, %-.&?

(#- ?!.

)

C !- ! .)& 5 & !

;&&+&.!.)-

&!+5!.!&3#D+#D+ #D . 5#D & ## ! 2

-3

"!! +5#! +"!

2! 1

#!! 1 #! 1& !! 1 &! .!

, 6 ! &

! 0+ 2 ! +

! + !! + ! 2

& ! + +

- & . & ! .!&!-$!.

&&&&

&

(#- @4.! & .2 % - ! && &&?

(#- 2A!&

2.%?

)

;, !2!+"D+&D2 #+D %)!)& !2 2&

& !!2

+ & !2 .!

+

! + +

&!!

& 2& & & ) & !+ &

(#- 22!&+

)"# ;, 2 5' . &!&'3

*1*1*1&*!&

2+ %!&+ &C& +#D& - 2 !.+ "D!).+"D&!.)& - .&+

- . # &!3

*5+&1*52!&1*2

;, & ## + & !&+ 5 + % ! !&& %)!#&&!&+58%&2!!E%&!& B ! #1 #"1 . #5 3

B!1 %)-

!#.-!/ , # 2 " ' . &!?/ * !& & &!&!* " !& & &5!?@/,++.-22'+.&!&!&&2A/;,%&.5B+&%&D+D+D+.D %)! ) & B &3

1 3 !

22/8 ! 5 & C )2 &.!- & . 3 #+1 #+1 #+. #+ &! )23

&.1 &.1 &.1& !&&.

24/ ;, & ! # % .- %, . & ! + 2 + % . & ! & +

.!3

.1 .1 !.1& !2.

25/C& &, %.)-### 2 . !+ & "# +"#&+##2&"##G&,.)#&+&!3

"#+##&+"

1

!##1 ##&1& &

26/ @ - .- ## & '!&,#'! !&&&+ % ! '! " '!+

- &!&

B ;&%."!3

&&-1

, - ! & - & (&+!+*

&&1

.&&-1

,& !1

&-&&

B % !' ! 2 -. B 1

-. &. +%&B&%!2!&%+2 !&

&&

&

&

+ &

=&(#- @

&& &+ ' && % + !) & '+ & & '!!&

(#- 2A

!=&(#- 22

' I ' I'

)"#

*

'

!

! 1*

'

!

! 1

*

!

!

1&*

!

!

=-1* $#&&&

&

1

*

($#$#$#$&&

&

*

$#$#$&

&

=.1

5 1 '1 (&!*I I

::EG !""% %& '#$(%)

2 J + = $+ 9+ K + : +>L L>+:8+="""$

E + " :

="""+&!#

" 8+ =- + = J+ : +:8+!+E!+M J+=-+=&C+="""+4&&&+=+

!

!"#$%

& '( )! (( *! ! +',) -! . !

!/)/!!

.-!((!""0

$ )1 -! !

22!((!"#"

3 (4 ! 22 * ! *(5! ,

""$%

6 !

! )7!

"""%

8 !

! 9'7,1

!&00%

: ! .,(! *(!

!

9!&00&%

# ' '! ( ! ! 22!

((!"#%

" ' '!(

!

1!.,(!!

22!((!"#%

0.,()!)!'-!)(!

!'.''1'!!"""%

.,(! !!

&000%

&.,( ! (( ! !!,&00"

$.,( ! '( !

!4'!,&0

3.,( ! ( ! !!&00:%

6, ! ,5( ! (( ! !9!&00:%

8(1 ! ! ,2, *! !)'!((!""$

! " " #$%&

!

' ! " " #$%&

"

()") * #

"

!"

#"$ % $ "

"

&'%(" !

$

%&'()*&*&%'*+,%*-,**.// % '*&0) *)(* '0**&(* (* '* 1'*12/% *31(, *)& '0**&(* (* '* 1'*1141**2/ % *31(, *)& '0**&(* (* '* 1'*1*141**2/%'*&0)&)3(*)**)*&41'0)(*41'(&&'**31(,*5)3('**31&6

771 &1')&,*

)(*'0**(*#" +$%*"&*,! -"#" .*

$% #$ #* * # ! "* " %- 1(* # &*(% ! " ! !* *. * !

.,"*, *.#!%*,)"(*

.

'

(

/

0"%)*%$)% "! ""## "!%1

.

# ! . # %# *)'0**(* (* '* 1'( 7 * . #%-141*%7 2$#.%##$ "! ""! # . * " # !% %## , $ ). # #

77)'0**(*(*'*1'*1141** 3%,$#"# "%&.*"!%1

)1 " %&

#+$#!%

# # 4 0 " %)* %

$)%"%""

)" %&* "*. ,$% $ #*)))&*&)%# #*#4 $ ," , #* " 5*+,6 +%$". ,","% . *3%4 #!" #*.!!%1

)"* #*-#%*"**"#". # **

"" "!"#$#.!***,#$

+ #" !% 2" , #% $ #$)* ** $ $" **5*##"*.%$"+*.*##%$"*.4"*61

* **" # # " -#.!*** ,#$ !% . * % #"

7 *$**" #+#*

***%$"+*#%$"* .!*$8**9& ,#$$8

*$**" # +#* ***:$8 ** %"$"*

" , 5"* # %$"+*6. # **:$8**,#$,":$8" .!%1

. .;.

#$

.

..

.

..

)

*#)" 1

#*. 4 * $ ," " #1

**" . % - $ %

)"*#!"*%#" 1

*4%'**0(*)*

*#)" 1

)

*#)" 1

#*#$)*!1

**" . .*1

4 %1

*4%'**0(*)*

*#)" 1

)

*#)" 1

%1

$ ! ##* #4 !% . * .#" " . . . . -4 %#" 1

*4%'**0(*)* *#)" 1

7 7)'0**(*(*'*1'*1*141** 0 $&!" $ % *) % # )"* ""#$%&.* "!%

0 % $) %" )" $ " %&. * " , $ $* %

$*&1')1*0)*(1*'*&*4#*%*#$$"%,)",!

%%4" " ". . $"%. +$ ".##.##-%4 "#5#%-:#$#6

3% "& #" $"* $* !% !

5*! %%4"$" 6"$

+$#! % -!%* +%$". * # $"% & . % "$ !% &"* $"%" & . * %

# % # #" $ "*.

,#%**!*&"

# ! #* ""*% " " $=* "

" - % ," , $ + "

)". %4 ! " 5, )" +%$"" %

##$"%"%%#!".'."6.%4 #!"+$# #*$%"

) *#)" 1

" &"* # ! !%

3% ,$ $ % . * #" %&- %&* -* # , %%4" $$*,","%

#. ,#%* * 4 #* ! #* .

.*%&"1

$," ,#*&".%""%

,="-"$ 5*"

$,+$# 6 %1

0"%%#" , &" . -

%4 1

%"""-)"*1

*

% ! . '. ". % &" ! " $#=&*! " $$*.4 =##%"1

-

%% .4 %#" $"***.

" &"* # # %

*)* -

.%1

*4%'**0(*)*!*#%#" &"* 1

) *#%#" &"* 1

%&* -* # . #*#" $%% #" . 4 #* ,%" % " ).4 =#!" * %*% % 2%4" $ "

#! +$ "*.- 4#*

! ! +$ "*. ! %. *% %!".%$

" +%$"" $. * % ," , # % #* %*%

"".-'"" 1

0" % # +$# , .%4 &"

*

4 % #!"

. #" &"*

#.!% .!

) *#%#" &"* 1

%&*-*# * % % " % #" $"

+$#%%4"$#%4 ,#-#.%4""-&%.)3%#$ #!"

+$#. ! % . *1

3%""%""-$ 1

- % ," # " , #*. 4 %

*

3% &" % !" " #) #=&

!" " #) $. " !" - $ #). - 4 %##%"1

*

- !

.*

" &"* ! .*

*4%'**0(*)*#*#%#" &"*

% *) $=* %. % $% % $

# " , %%4" $ $* # $"%.! +$ "*#! &%*#:# +#* #" # = +$# $. . # %4 #. $)= ! #%* ! . ! $#.!#%*$# * % % )"*% ! "* "*%&*!%

# #%* $"%. ! +$ ". ! &%#:# 0 #* # . $% # ! ! #%* !%

. ! # !$"%.!+$ "*.!! &%*#:#.*

0#*# .#" $"* $!##*-

#%* $" . ! #$)=

! % !* . # #

. "= , $ $* %! #$)* " $* # %* . #

$# $#$%

) *#%#" &"* 1

%&*-*# . % - #" $"* . #* ")*%

%%4" $ " 4#*% * ###%*,! +$ "*. -$"%&",=. - !#%*,! +$ "*-

$"%&",=3%# #4!%

3% % % ,= . #$)* +$ "

# $% " . #*% , $ $* % +$ " 5&*%$"%"67%#!"

" $"* # ! +$ "*.

% 4 %

% % " "* -%*% #" . #$)* $"%" & .

-%##.%#,$$* %$"%"5&=+$ "6%

#" $"* #. - % % $) 9.

$"%&",=.$ %"+$#&"*

5%" ,"+ "%!"#

9"6

4%

% % #!"

-

. - %

.,#%**%

% # #" &"* ". . # !% .

-

1

0 " %)* % % )"*% ! "*"*%&*!%

#$# , +$ "* -$"%#+$ "*-! &%*#:# 0 #* # . ! $# , ! "

#$.##! % +%$".* #$#,+$ "*-$"%.- !

$#,+$ "*-$"%) * # # !% #" $" $ ! "*%&*$

#$#,+$ "*-$"%&" #* !%* % # - $ #" $"*#$)*.*

*4%'**0(*)*

)"+%$""%##

% * , &".* # $# , +$ "* - $"% # , +$ "* - ! &%* !% #:#. $ % "

! % % " $"%:! &%*.-"+$ "*"!"#$#1

*

.

5)""#$$"%&.% &" . %$! #* "*% +%$"%",%=*-%-%*67

* .

7!73('**31%)

*#%#" &"*

%&* #$)* # .

4 #* #*% +$ "*.

##!%+$#%%4"$" 3%#!" "" #1

-.,",+$# 4 %

* .

#%$#4" # " #> ,=%$" #% ,> # #$"*.%-%")3'**31%, "&%4# .#*%%# 0"" ") #$% * # , " #" %*+#%#**#".4#*,%" %"%#$) #*# #,="-. ,#*.%,)"#" %& $ # $* - , )" " $ %&*% #!% .4#*

#&*%*+$##?%$"*@#"**%%! *$ -%9* %#%**.

4#*% * # $#4" .$ *& " " $%

&*# , # , % % 2 +. #$#4" " #%%" % " #* # &*##* ,

+$#" 0#*# ## ##*!

,%" )5-%!*%-" "%&6 *%"+%$""#.* ."%%" , % ## +$# " 1 A*##% 9

*!#*#%,#%%%",* #" &"* . !% . % 4 1

4#*% * " " % 5" $)* 6.

$%" % 5$ 6 3 ! # #*"%*% #* ?#%*@. ,%" +$# #*$ ).*%# 0#*# %

. - 4#*% * #* * %#! #!+$#$ 1

2$%$-$=*%.""=" "

-,"#+$#, *1

-#=+$# .%4 1

*

.#" $"* !

" &"* #. .!

*&'*&1*,(*

* # % #" " &" "%*" %&1

7 7' 7

* # % #" " &" "%*" %&1

( 7/ 7 7B 7

*#&)%*" %&1

C 7D 7

&'','(

* # % #" " &" " %*" %&1

7

* # % #" " &" $%*" 1

&'','(

8$ 0,* !#$#%*"#$1

!##* !"7

!# $) " !" " #$7

#> $) %" )" " !"%&7!###7

#> ! % )" " %&.# % ! $) # +$" $ # +%$"!.$!""$#"4%7

#> # #$ )" ). # ! +$"> !% % $ %%). #$" 9#"%#"#

- ; 8-

==; $

-* A8. F" 3. . G#8 . "$ .%2.2H8"H2.*.4"""$

$.F-.DD

!"# $"! %" &' "(% ") !"# *$*"!")("(%+ *,,"! %" (" +%"(" )("(%+

*

%"('"") (" , -"#.(

/ , !" #"$ % $ "

"

&'%("

!"#$%!%! &"%'( &%)(%&%*++ !%#%%& %$,!%! -$!#% "%..#!%(/#%0+ $#$#! "%(!%#% !#% %! -$!#% "%..#!%(/#%1.#%$,.%20+ "%!%.! $!%#% "% %3!%. #,$# %!-$!#%"%..#!%(/#%0+ ! -$! "% ,3.% %! %! "% "!%%3%.%!#%0444$#$#!!%#%"/#%!%#%%!%.-$!$%!,4

44$&"%..#!%(/#%

0 +1 + ) ( +-". !"#.2 )(" 2

.("+.!("#+%"()(.!"#2!(!)) .+#)("3 2 2 4

) ". !"# " (

("+%(. 5 " ( 4 ( 2 + )56 )." ) +. 5 ("+%. 4 +-" *) + 4 ( ) ) "*5"(!("()((+". ("( 3

+2 . ( . ) 4 +

*2

0%" "2% "7$2!(( (("( %

2%2 "!(") 4!(+"3,(8-$+9+,(8.9 4!(+%.+ )(.!"# .() !"#2% (#

+ 2)6 (+-".!"#.2%"% )+%"3

::::::::::

%" ) !"# + (#%.+ "6 )' !(" 1 !"# 4 .+6 +. !"; +-".

454%(!%%= "' ("!# )(

!"#.) !"#2!( "(5 6( "! . %". (+" !( )2 % "+%)" +"+2 % " ) (. !"#2-";")!"#).61+

()".(.!"#") .%(

!.; . + ) + %( 4 (.) %" 6 ( +-". !"#.2 %. %.+ ". )'. + . !"#. % "(" )

(. ) %"2 % " 4 %( % " !(" )

4 .) 4 + "!#

5 % "+% ! % 2 !( + "!

"! %") 5%

>% . ) " 5 % "! .

%".5"%(" -2.'+ .3

4+ ) .+ . .+4 "! %".5"%(" -) 5% 4+( ;.3

+

0(+.. ("+)4 "! %".5"%(" +) 5% 4+( ;. +

!3

7

. '+ .4+ ) .

>% . ) " "! . %". 5 "%(" -8"+% ! +9 % ( 2 . " "! . %". 5"%(" -8"+% !+95)"% =" 2"! %".)!"#+;.(+"61!"# (+ 4"!6 ) ( )(+-".!"#.- >.+;"! %") ( " (. !"#2 ! ! (. "! %"25"%(" -25"%(" + = " "! %". 5 "%(" -2 !((+" ( ) ) ( +-". !"#.2 - 0 + .+ ++!(%(" ((+ .'%"+)2 2+ )(" 2. )% " -2() +.) ; .+ ) = ""! %".5"%(" +5!( (+" % - ) ( (+ .2 (#6 + )

(""! %") !"#+ "! )("+%""+ )(+-".!"#.2"; .."-"!"+2)"2%"(+2 6 + 4 4 % " ) (!"#.

+2 ( %"(%" ." !"! %" )(" " (. !"#2 ".6 !." 4 % ""! %")("" !"#

%(!%%"%,"%,

) . % " . ) "! %"5"%(" -45"%(" +% " 2 + "! 4 + 4)(.

!"#2+%( %%"(#'+ "! ("%" 4 ( ) 4

/ ) . '+ . "! %"

)(" 4 2++

) >. %"+% . % " ( ) ( (. !"#

"! %"

4

4 +1 !.;

'%%" 2+ + 4)(.!"#2

6

6 4

!("% )"! 45"%(" -45"%("

+

1"! 5"%(" -

1"! 5"%(" +

1"! 5"%(" -

1"! 5"%(" +

; . . ( ) (. !"# %( ! % "

"! %"("()+%( )"! %"(" ")

"! %" "! (" %" (" ( 4 5-"2 "! %" (" ) "! %""! ("%"("1>4(".()(.!"#%( $"! %"(" "4 5-"$"! ("

.! ""! %"

("(% "()(.!"#5% 5""! ' . % " 1( + ( . ="(%" ".6!." .4% ""! ("+%"("

= " ) !"#2 "; + ".6!."

%. "%%-#%$&%

>.++""" )"! (" "% "() (!"# (# ? "+ + + ?@"; "+%+ % " "! %" (" ( ; ) (!"# 8 "! %" (" + + + + + 9

- >.+;"! %"("5 64(% ")

= " "! %". (" 5 6 5 "%(" -2 !((+"+)((+ .2"!6) 5"%(" +. ""! ("

%"("(= "

2.

! )"!

%". 5 "%(" - )

;. ( "! %"("5 6)(

!"#2 3

C

$> ";(!. ++ )(" %" -" D "! ("%" "("3

>( + ++ ()". " ) (+ + % %" ""% -.+% +'(+ 5+.%(+#("% + ("+.)% ' " (>. (+".. 5" ";(!." + ++ (# % + (" 8+ %( (# % + ("2 " ( ;. + % ")"% + ("C+ ( !-(" "9

>;. ( "! %"("()(2

2

22

2

2

22

C

*> ".!("+ (""! %" 5%

+ (" 3

2

2C

,>+" ")("3

>;.("%"% "++2 4+;;.!("+ ("3

. 2

8. . ( 4 (" +

%(; !2 % + % (C

. 2 2 2 8. .

+ ("(" %"% ";.2 5%6 ++ E1E92 % + % '(C

. '+ . 4 % + ("2 + ! "% %"(%+*%+% ")" "+

-

>.+ "% ' "()3

2 (5%%""! %"("5 6

!

2

(+"4";(!%(++ (# %"-"D'%"+("+ (""! %"3

!65!".)+ ) .% 25+..!(" "+ +( " + ++ + + 3

C C ( % "6 )" "+ % + (" % " !") . %" " !% +'(0 ;25+.26 2 !( "! %" (" ( % ")(+" . !3

C

C

. (" +. +" " ("+%;. (" % ;

-"2(#

( 5 (+"" %" % + ("2 = "+ !("-4+2 "!!3

" (" %"%3 "). ;"%"; 5 " -(" 4 + (#+"!. . + % + ("2 2 + % 2 % '( ( "% %"( % " ". (" % + ("2

= " + !(" (# "

2 "

("%"% !(" ) #(" !(" + " %(; !2 "; . . % + % (% ")( >.!").4 % + ("2 (

! "

(" %"% !(" )

+ ";.2 5%6++ % " %" ("2 5+. . % + % '( (# + )(.% ' "(% "); .2 1(2 1'(

%. "%%-#%$&%5>.+ "% ' "(% ") 3

2

474%(%-$,$,.%

0 +1 + ( "!" % " )(%+5;)("(+-".!"#. '%2.!()() .%" "

) 2 2 )((+ )("

F % "

) ! + ) )("2 E% G 5 ;)("(%+ F5;)(" !"#% + )(%+4!(!5";.% "! + ("

( '% "!" ) (" (%+ % ; 5 "

) " (. !"# ( % " '% 4(" "! ("2 !( - ) (%+. +. ) ) . %" "(.)24

) (%+. 12 ) . %" " )(" 4 3 "! %"

) 1 5 "%(" !"# - 4 + 85 ; 5 " + '+ .92+ "3

(" ")" (" "!" )(" (%+ ".6

!." % ")"(%+ !"#-

>. + ; "! %" (" 5 6 % "

) (%+. 2

4

()()(%+.2)("% ""! ("5 6!(")3

4

!

2"! +%"5"%(" -4+!(")3

= " 2!((#"! %"3

= " ) ( % "! 5 "%(" 42("

%. "%%-#%$&%6>. + +" )(" "! (" %" % "() $!"#1$ .%" " ")2223

%. "%%-#%$&%7

>. + +" )(" "! (" %" % "() !"#1$ .%" "()23

484%(!%#%%"%,"%,#%-$,$,.%

= " "! %" (" (2 .5 6"! %"("5 63

4"!.5.( .5"%(" -4+26( .

4

+ )(%+-4+"

2

2

2

%" -4

+3

=." '%"+ (# . " % %"(# +

8"+"-.+4 5"%" "94

85

" " "9 ( + "! 4 !( +%"

>. 5%

) ( + . %"

"425+..4"! +

!) ( ()

.%" " 4+ )2 "! E(+ "G

+"2)% 2"!")(%+= "

5- 4(" . + . "! .2

2 +.

( .)%" ;.%2.+.( .

; ..

% +""!

+#)("

2%)24

!.; ++2()) .%" ")("4 "# +. )((+)(""!" )("(%+2

.

2 5 ; (+ "2 ) + %2

"; ..! "#+.)((++ .)(".2)((+%5((2

. !( !

+ . '%"+ % +. (

+" 4 +# )("3

8 +"+ ) % 5

( " "!"9 5+. ) % "

2

5+..% +.+"2 5'%"++ )(# .2

5 (

%3

2.

(# + )'%"+. .% ""!

="(6 ' 5 4 (2 !( (# 4 ."! .+".2

>. "! "!

%. "%%-#%$&%8

>.+";;% "

+

3

494,3.%.%$-$!#, %" . '+ . ( + 5 " +(4 '%"+ ) " + ";.2 !("+ ) 5 "1 ." % 0 + + + %( 5" "" '%"+ ) " +. %( . (#" !(" 6 %"(% " %".+". ("+ " + ' " %(" (" %(+# ; 4 %" " ! (" % " +% + ="(#"+%!)". ("3 ( ) (2 >("4 +. + "( .)2 %2 " +. #. ( '%"+ +%. 4 " +.%"(';6 #)(%()8 "! 9 0 "("++(+" %( ;.")% .'%"+)(+ (+ .0%" 2("2%( ) (+ .2 " +. #. ( '%"+ (% . ! + )(.+ %(+#6("+.%"('.)(3

) ( " ( '%"+ (% .2 -";.) .4A" "%" .""( C

'%"+ ( + (+ . (2 ) 4 (+"!(" " %".+". ("

=" + %( ) "+. 1 ( 8%"

%" ";" (" !(" 4 %" "; ("9 + ( ! !( ; 5 1 (!" .

( (+" . + (+ 2 % " ) (2 !("% "+ H% (!3

= " )%"('"% + )((++(# "(")('%"+6 +%3

+ ()"

+5 6 + !" 5") + 3 ((3 C 5 + . + )

%"('"%+ %((-"3

C

) '%(3 C 5 + . + ) %"('" % + ( (# ". )'%(2.3

) "-(( "3

!! 8" )"+()(".") 4 " "# (+" 5%".9 %"('"%!!25+ .+ 2)("3

!! !!

!!

8 )((+ %" ; + " % " ! )

!! 9

+ ! . % (+" ) 4

)("="(%"5!(%"; 5( "!)42)" )(" % ( -2 5+.2 +. + . !" 5" 2)%"('"!)%((

+ . -" ("

%((+ %" "4("2!()"4+"5-"( ""'%"+%

'+ . ( +" ( %"('" " + !(-+.%"; .4""

%!,"$%#,..$ !!% ( ) ( ) % " " + (+!(" 2 > " +. + "%((-"

"%"(';)(2+ )56 +%. " (")"(" " !(" %"(' 4 (+ 5 % +. ). "+;. + %. " (" )"(" +. ).? - +. ;. I +% 1 +)"("? >. %"+% . ! ( ) +%" " 4 2 %" " + " 2. 2 >.%"+%4.25" ("2 "4 +. -.+ ) %"('" % "+ 4 . + + % + ) - 5+. . 4 % . !(" % +.(. (+ % " (2 " . ( 4 + !(" " "# +. ) %"(% >. . I )((+ '%"+ ) %2!(" % " 1 (# % " % $ 4 1$ 8 % % ""+1 !("% "(9

!3 4 " 4 ("+ %"(% "+ -= "% !("("

"% "% !("("

+ ")% .("+ "("+.)6 %(+#" "+;."("+.)6 %(+#% "5 "-+ 2% "+ (. % % "(" ( . % "% 4 ? . (. )"(# 2! 2."("D2! ."("+%" .1). +.E%"G"("?% .2 2 (. !("2 !6 + )" 2 +;.

2!(.!" %""% +.E.G+E+G3(2 "+% ! "" %. " . ".+% +% 5 "#."3 (" +. "2 % ;" -"2 (."2 +%. " + ?.".+%+

+ "2 "% 5 "#" 5 ) ". ("3 (" +."!2 ( '%"+ " ( + " ( ? 4

%" (."+ "%8)!(+ " "+92 5;"-"+ ( 4+ 4("+..%. " ."

+ ( !-+.)((+(%" . +%. E"G+2"4 %"")("!(")"%. " + )2+("4 + %. " "("("(# +.)6

>. "! %"(# % " 1 %+1(

5% %"-")243 ( ) ( ) % " " + (+!(" 2 > " +. + "%((-"

"+%"(';)(2+ )56 +%. " (")"(" " !(" %"(' 4 (+ 5 % +. ).

! !(+ !(")("3

(" +. . . ) %((.

2 + ) 56 + % " ("

)"(" + +. ) . . " ) +. .)"!3

% " 2 )" 2 ) +%+2 )" C

% " 2)"

C % ";-" 2)" C "+;. 2 %" ( 2 + )" +. )

(EG5 6+2%""")"("%. " 3 % " 2)"%. " +

C % " 2)"%. " +

C % " ; -" 2 )" %. " +

C

>%. " (" "("(" ( !(2 2 ) ++ (")"( .+ .+.4(#3

= "+%)"2!()((++#(

4!((#3

")%+ %((-"3

(!2+ )2

0(5'%"+2!3

+ .'%"++ ()!"# 8A"

+ (#4-2++.)"!"#25;(+ "+ + (+ 9!+ )()5!"#"!"+.).

0 %"-") %"; ( % "% ' " ) !"# %"(5!(%% ")

= + (" "%"-"D "(""! ("%" ) 85 ;(+ "!H!"#2!(!H"! %"9(!3

2

.3

>+ + )(# !)++ "HH(+ =" ";(!" + +!(" "!("

% " 2 ! % ) (# . ) %"('"

0 -"2 % " ) % + %")". ( !" . 6 +%. 0 ) " +;;.2 +- ("))-"5 6 8;5"+%. !1 ) %"('" ".92 ) ) -" (

8; 5 " +% . ! 1 )

%"('"%"#(.9-)("%?%"; .-")

""45".2%#;E+G2+.-)-"5 6!("%")-"#.+( "% 2"+% !)-"(2.+.2-"#.2(%"#(J

+ ! . 5 " "%"; " -"). %( 4 )2"!(";5+ .%"; "(.(

- ( ) (% ""+(+!(" 56 !% 2()(" #3

$ * , $ $ $& * ,

>.+-.++.()". "+.%"(';)((+"5 6)".+%. " (""("("3

%+ ".4")(" 23

. .!("4'% ")+.#.!(".2.!("! %"5"%(" "+% !'4!(-D3

.3

+ + ++ "%"";(!"."!((#!("4'0"++ (#+"!..!1)(+"+= "4"(5".4%"!2!(. #)("3

0 %" (. (( # !( " !(" 5%( ;'"8 #93

$ $ * $ , $& * ,

= #!( "!("+(" % (( "+% ! '%2 % ("+%;. (" !( !(" % ((.2 4 !( (#3

="(6 )2 % " ((

2 6 + (# !(" *D " + !(" 5 #3

$ $ * $ , $& * ,

$& *D

". (" (. (( 1 + (" +

"+% ! "#+.) % "++ "(# ++(%(+!("("%+ ((4!((#3

$ $ $ $ * * / & * $ &* , $& $, *D * $D* , */ $*,

$& *D *D $&

((!(")(% %.+! ")%4!("))((+ % ";"("(">."!++ 3

0( 5 ++ + !(" ("+%;. ("+ ("%"+5 #3

>( ++ ! ) 2 2 ) %"('" + ( (% # % "

% !6 %"(% +%." + !("( % 4 % " % + %. " (" "("(" (% "+ !("% 5)"% 2%(!(% " )"% )" "% 4 ($ " 5 )!()"%. " #!3

$ $ $ D D $ * * & / & * * $ &* $D 1 , $& $, *D $ 1$ * * $D* $ 1$ * , */ $*, & /

$& *D *D $& D $D

>% " 1(2("()".

( )(" . (" % " )(+ % " % K- %. " )"(" >%. " (" )"(" "# +. ) 6 . 6 + .!("+ .2 6 )%%"(';.#)(

%. "%%-#%$&%9 ( ) ( % " " + (+ !(" 5 6 !

% 2()(" #3 1 1$ 1 D $

, & $D $& $ * >.+-.++.( ) ". "+.

%"(';)(C# >.+-.++.()%"#(.

"+.%"(';)(C >. + (%" (. "; 4 +. + .

" " (. ) + %( "! ."- ".+%+

#"= ") !)!(+.+;"! %" 85 "%(" 2 '2 "9 >+ (# %"-"+ ("D!( +6 '%%" = " )" " + ++ ! .- ( ((. 5 # % # ! )2 5+ .+ 2)("3

44!%#"/# 4,""%$#$#

-" #. + -" . % " ( ) (.!"#()(.!"#+ ) .%( )(" + ( +# 2 !( ( ( ) 4!(%(%"+;. -" -" #. + ";. (. -"++!2( .5"%(" !"#-4((".5"%(" !"#+8+5("!"+.9

()."- .4) .%(."-

-"#. )

' +. ( +

( ;.

!!

!!!!

!!

= " -" # + + - ". (" (.

%") ( -""3

(")(""% -A)(" 3

0 + . + 2 6 ( + "% -A2 + !( +. . 5 " " !(" - 4 +2("+ K(+ (!+ )3

! !!!

+25("!"+.3

! !!!

"

#$%

->. + ;

!!

2 ( )

(

. )% .! 4 (4 !(" 5 " "!";. 6 - 6 4+2

% -").".+.5"%"; .-")% (+"

! !!!

>. . +%" -" 2 . !

+ . -". + ( -". +%. 5 "%(" !"# +((+"%-"% (+ .84).4"! %"9((#+ )3

!

! -" #. % " (" +. ( .2!((#3

!! !!!

) % -" 4 5 (" !"+.2 . +.(+".

! !!!

%. "%%-#%$&%

-"++("!"+

$ (+ +%5"%(" '6++ + ;

5""%"; "-").+ )("3

&

#

0+ .+ (#+"!..-!";. 5 "!(" 4'2.! (" 4' + )(+ +""(2)%( ) "

="(#5+ ;%"("+!";. 5 "4 !(" " ' 2 !(" + % !(" - 0+ . + !( (+"

(+" )"(".% "+)) 4 +%"(".) 2("4.-")= "+2!("

+ "%"; +#"2.+!("LK(+5++G = "+ )(2!(!3

! !!!

- >. + ;

!!

2 ( )

"3 2 = " "%"; " ! ) !( +. "%"; .2 %4'.(("( 2(."2 2 ((#-")". ("3

"

#$%

( + (#+"!. . + +% " "%"; .E "+G("(."# = " ! " + !(" 5 " " !";. -2 ! )!( +. -.+ (("( (" (. % "+= "+ + !(+.";(!.++ 3

( (# (. +(3 2 C 2

"+ !("%-")3 + )-.+ !("5 ""!";.-2. = "!"#+2(# "!

+ ) !!

%( )+"+.+#)("3

! !!!

(5 6 -""%" ;3

!

((#

! !!!

!

&

#

"

#

%. "%%-#%$&%= "'%+++%( -" ("!"+?"- ".+%+

(+ +%5"%(" '6-+ + ;

5""%"; "-").+ )("3 > + + ("++2"- ++ +1E+A# G" "+ = "+ )(2!(!3

! !!!

- >. + ;

!!

2 ( ) )

" 2

( 5% %" "%"; " -"). (" (. "% "% !;;(

"

#

(. % "+ 1 " ";(!6

++

("5 ""!";.+5 "("(+ D4$2. = "-2(#+"!..+ !";.5 ""#"%"; . ( .2 '%"+ 4 "%

"%"; .% .2

"#+.5 ".%-

+ . "% 2 . !( ! = + )+%. )"(".% "-+ 2"+%"(".+

2. (% +" -"+#)("3

! !!!

!! !!!

0 + % )((+ # !" E G(+"+% $40+ ;"+ +) +. - " !" 4 +. . -" ()("-"). %!%.%#,-,#,"!%#"/# -" # + "" ("+%") ' 2 . (" +. . +%") (2+ +) +..

!!

-

>.+ ""() 3

= " "+ ."! "#+..

!!

((#". (""%"; "-")."

3

'

( 5+. + (( 4 " 2 ! )"%"; +"%(;( +%"'6-3

-")+(#+"!.. = "+2(#+"!.. + )"(".+ "% 8.'6-92 " +%"(".+ ."

(# " " + +(#+"!.. "+;. + " !("%(; ! +2!(

- (# + ) 5 " " !";. +3

; ..3

! !!!

$($

.+%" -"%" ;.4!3

!

""'7

!! !!!

$($

>..+%" !

8.%" !93

!!!!

!

$(!

4 -"6%"%."3

!

$(!

.

'

$(!

$(!

$(!

(!5+.

!! !!!

$($

$(!

"; .

#

$(!$($

= A" !") )% . "; + (" 3 "(+ "+"2.K. "" ";. $ = " " " ! " # 2 % "";.$(# # "+"!)K. + .!("2 . #$($ 2 4 "; (# 4 K (" -"# + ! )% .% "(+ '%") )(+ +% +. )((+ )(" "2 -" #. 0 ;"2 5+.2 ( " ( )("."- . + ) 56 + (+ )(" " % " " 0 + ;"2 -" #

!! +

' "%("

%!"%!,%(#%

>. + ;"! %"("4(% ")

$ >. + ;"! %"("

4(% ")(%+

) !($*

+

>. + " % ' " ( ) 2

* ( ) ( % " " + (+ !(" 5

6 !% 2()(" #3 $ * ,

$ /$ $& $* ,/ />.+-.++.3

( ) ". " +. %"(';)(C

# ( ) -" (2 " +.%"(';)(C

; " " ( !" + %"(% ) (

, >.+;"(%)

+ )3 $ %

:!""("#>. + ; "! %" (" 4 (% ")3

2

$ 2

2

>. + ; "! %" (" 4 (% ")(%+3

*

,

>.+ "% ' "()("3

& 2

/

&

'

(

)

*

+

#

&

'

(

)

*

+

#

2 ! !!

D

&

'

(

)

*

+

#

&

'

(

)

*

+

#

2 !!!

2

$()(% ""+(+!("56 !

% 2()(" #3 , &

D

,

$D

D

* * , , / / D

>. + -.++. ( ) ". " +.%"(';)(C

:!""("#()(% ""+(+!("56 !

% 2()(" #3 1 1$ 1 D $

$ /$ $&

$*

,/

/

>.+-.++.3 ( ) ". " +. %"(';

)(C ( ) -" (2 " +.

%"(';)(C) ; " " ( !" +

%"(% ) (>.+;"(%) + )3

* $ %, C

,

,

-

.

,

>.+;". (" -"#3

!!

!!!!

!!

2 + "% -A "

2

2

2

C

!!!!!!!!

2 +

2

2

2

&!!

!!!!

!!

2+ ( "#

2

/!!

2+ ( "#3

:!""("#

; 0 5!.")(+ %""+". ("+% 3/ )(+ "(+.() !"#C

/ )(+ %"; ("! ("%" % ") !"#8 "+(%+9C

/ +1%"; ( ""' "(") C

/ +1()" ( ( "") ("%"('"% " + " '%" 2 ' ( ("% ""C

/ +1 + +%" -" # + )(+ ( % "+ 2%"+- " " -"#+"+%")

:.+;!!

2+ ("-

"# +

( 7 %(" 8

) :>: ;) :: : ? : !"#

%. "%%-#%$&%

> !! !"#

4. @A2 " 2 ("( 2 N("(+A >2 % 2

(2MAM2".

91&&'*&&1*:&&() * # % #" " &" $ %*" "#$1 74

)7 7(*""("'"-./0

"1("0

* # % - *

# #" $"*

%$#"%##"&"$$#

( * "" -/$

" % -2/$ % " -1/0"1

("0

' * # # ! "* #" &"*

(*'%"-3/$

'"-3/$("-1/0

"1("0

("#$"!##+%$""?* # # !%#" $"$ ! "*%&*$ @5$&(6 #" $$# % # #>

$! 5$# +$"

#$"%6E%###$

( * % -./$ ""

"-/0"1("00

Documents

Matematica Aplicata in Economie -Suport de Curs