Page 53 - DECO403_MATHEMATICS_FOR_ECONOMISTS_ENGLISH

<@2 >;? >;?
" " " "
.;L R
,:7D78AD7 FA E:AI F:7 5A@F;@G;FK A8 8G@5F;A@ " 3F BA;@F " I7 E:AG>6 E:AI F:3F 3F F:;E BA;@F
>78F :3@6 >;?;F A8 " D;9:F :3@6 >;?;F A8 " H3>G7 A8 8G@5F;A@ H;L

>;? >;?
" " " "
'D R
AD *;9:F !3@6 $;?;F ;@ " BGF " I:7D7 I:7D7 " 3
AD $78F !3@6 $;?;F ;@ " BGF " R I:7D7 I:7D7 " 3

<;@6;A6@E <3 . A;0@6<; 6; .; ;@2>B.9

8G@5F;A@ " ;E 53>>76 5A@F;@GAGE ;@ 3@ AB7@ ;@F7DH3> ;8 ;F ;E 5A@F;@GAGE 8AD 7H7DK H3>G7E A8 J
;@ F:;E ;@F7DH3>
G@5F;A@ " ;E 53>>76 5A@F;@GAGE ;@ 3@K 5>AE76 ;@F7DH3> ;8
; " F ;E 5A@F;@GAGE 8AD 735: H3>G7 A8 J 8AD I:;5: "

;; " >;? "

;;; " >;? "

.;L 8G@5F;A@ ;E 5A@F;@GAGE ;@ AB7@ ;@F7DH3> 3@6 3F " 8DA? D;9:F E;67 3@6 3F " 8DA? >78F :3@6
E;67 ;E 5A@F;@GAGE
6?0<;@6;A6@E 6; .; 6;@2>B.9 G@5F;A@ " ;E 53>>76 6;E5A@F;@GAGE ;@ 3@K ;@F7DH3> ;8 ;F ;E 6;E5A@F;@GAGE
3F 3@K AD ?3@K BA;@FE A8 ;@F7DH3>

&52<>2: <; <;@6;A<A? A;0@6<;?

; " 8 4AF: " 3@6 " 3F 3@K BA;@F " ;E 5A@F;@GAGE F:7@ " P " 3>EA I;>> 47 5A@F;@GAGE A@
" 3
;; "8 4AF: " 3@6 " 3F 3@K BA;@F " ;E 5A@F;@GAGE F:7@ " " 3>EA I;>> 47 5A@F;@GAGE A@
"
;;; "8 " 3F 3@K BA;@F " ;E 5A@F;@GAGE 3@6 ;E 3 57DF3;@ D73> @G?47D F:7@ " 3>EA I;>> 47
5A@F;@GAGE A@ "

"
;H "8 " 3@6 " 3F 3@K BA;@F " ;E 5A@F;@GAGE 3@6 F:7@ 3>EA I;>> 47 5A@F;@GAGE
"

A@ "

H "8 " 3F " ;E 5A@F;@GAGE 3@6 F:7@ 3>EA I;>> 47 5A@F;@GAGE A@ "
"

H; "8 " 3F " ;E 5A@F;@GAGE F:7@ 3F " " ;E 3>EA 5A@F;@GAGE
D.:=92 D=>2?? @5.@ 3A;0@6<; 6? 0<;@6;A<A? <;

%<9A@6<; >;? " ,:7D78AD7 8G@5F;A@ J ;E 5A@F;@GAGE
"

!( + "$! %% ! ' ( $% &+