8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
1/23
!$&$!$&$
&$!%&$!%
!03079,3!07239,,3!03079,3!07239,,3::2!07239,,3::2!07239,,3
:7;0!07239,,3:7;0!07239,,3
:38!07239,,3307:,/7,9/,3!0.,:38!07239,,3307:,/7,9/,3!0.,
&$!#&$!#$&!!$&!!
!03079,3!03,,7,3!03079,3!03,,7,3
::2!03,,7,3::2!03,,7,3
:7;0!03,,7,3:7;0!03,,7,3
:38!03,,7,3307:,/7,9/,3!0.,:38!03,,7,3307:,/7,9/,3!0.,
$!$#$!$#"&"&
!#!!#!%%%%
!,,!07&39!,,!07&39
!,,!078039,80!,,!078039,80
$&$&$&$&
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
2/23
!#%!#%
!07239,,3!07239,,3
,3,3,,3,3, :2, :2, -,7,3 -,7,3 ,3,3 /239,/239, 5,/, 5,/, 93,993,9 ,7,,7,9079039:9079039:
::2::2 !07239,,3!07239,,3 ,9078,9078 !,7-:8!,7-:8
,, ,7,,7, -,7,3 -,7,3 3,3, 2,,2,, :2, :2, -,7,3 -,7,3 ,3,3 /239,/239,,,3,,3 -07:7,3-07:7,3
$0-,3,$0-,3, ,, ,7,,7, -,7,3-,7,3 9:7:39:7:3 2,,2,, :2,:2, -,7,3-,7,3 ,3,3/239,/239, ,,3,,3 -079,2-,-079,2-,
:7;,:7;, !07239,,3!07239,,3
:7;,:7;, ,3,3 203,2-,7,3203,2-,7,3 54, 54, :-:3,3:-:3,3 ,39,7,,39,7, ;,7,-0;,7,-0
:,399,8:,399,8 :2,:2, -,7,3-,7,3 ,3,3 /239,/239, /03,3/03,3 ;,7,-0;,7,-0 ,7,,7,-,7,3-,7,3 90780-:990780-:9
:7;,:7;, 507239,,3 507239,,3 -0707, -0707, /,7/,7 77 ,9,8,9,8 00 ,3,3,3,3 -,,-,,3,3,3,3, /,7/,7 :,399,8:,399,8 /,3/,3 ,7,,7, -,7,3 -,7,3 9/,9/, ,/,,/, ,3,330,9130,91
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
3/23
:38!07239,,3:38!07239,,3
/,,8:,9:1:38,3203:3:,3:-:3,3,39,7,/,,8:,9:1:38,3203:3:,3:-:3,3,39,7,
:2,-,7,3,3/239,:,399,8/03,393,9,7,:2,-,7,3,3/239,:,399,8/03,393,9,7,-,7,390780-:9-,7,390780-:9
039:&2:2:38!07239,,3039:&2:2:38!07239,,3
1515
5151
2,3,2,3,
;,7,-0:,399,8:2,-,7,3,3/239,;,7,-0:,399,8:2,-,7,3,3/239,
5;,7,-0,7,-,7,35;,7,-0,7,-,7,3
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
4/23
:38/,3:7;0!07239,,3307:38/,3:7;0!07239,,3307
039:&2:2039:&2:2 1515
,5-,5-.4394.439455
,52,,,52,,
,2,,,2,,55
5555
,9,8,3;,7,-0:,399,8,9,8,3;,7,-0:,399,8
AA AA
,9,8,3;,7,-0,7,,9,8,3;,7,-0,7,AA 55AA
:7;,!07239,,3
:,399,8
,7,
!
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
5/23
039:&2:2039:&2:2 5151
5,-5,-
4394543945
,2,,5,2,,5
,52,,,52,,
:7;,!07239,,35
:,399,8
,7,
5
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
6/23
039:&2:23,039:&2:23,
1515
,5,5 -5.-5.
,52,,.,52,,.
,2,,,2,,,5,5 -5.-5.
55 --]] bb-- ,.,,.,
%95:3.,5%95:3.,5,,-,-,
$:2-:82097$85$:2-:82097$85-,-,
5151
5,5, -.-.
,2,,5.,2,,5.
,52,,,52,, --]] bb-- ,.,,.,
%95:3.,5%95:3.,5-,-,,,
$:2-:82097$8$:2-:82097$8-,-,
:38/,3:7;0!07239,,343307!,7,-4,:38/,3:7;0!07239,,343307!,7,-4,
:38:,/7,9:38:,/7,9
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
7/23
:38/,3:7;0!07239,,343307507-4,:38/,3:7;0!07239,,343307507-4,
:38!0.,:38!0.,
039::2:23,5,-./039::2:23,5,-./
,2,,5-/,2,,5-/
,52,,,52,,-,-,
82949/,9,782949/,9,7=2,,5,.=2,,5,.
8294990,5=2,,8294990,5=2,,/./.
&39:202-,9:/,,2202-:,97,12,,/507:,3&39:202-,9:/,,2202-:,97,12,,/507:,3
,/,3,9,-0,/,3,9,-0
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
8/23
!#!#$&!!$&!!
!03,,7,3!03,,7,3 ,/,,,/,, :2,:2, ,3,3 /9,,7,3/9,,7,3 ,,3,,3 8:,9:8:,9: -,7,3-,7,3
5,/,5,/, -07-,,-07-,, 93,993,9 ,7,,7, :7;0:7;0 503,,7,3503,,7,3 8:,9:8:,9: :7;,:7;, ,3,3 203,2-,7,3203,2-,7,3 54,54,
:-:3,3:-:3,3 ,39,7,,39,7, :2, :2, ,3,3 /9,,7,3/9,,7,3 /,7/,7 8:,9:8:,9: -,7,3-,7,35,/,5,/, -07-,,-07-,, 93,993,9 ,7,,7, -,7,3-,7,3 90780-:990780-:9
',7,-0',7,-0 :,399,8:,399,8 /,3/,3 ,7,,7, 3,3, ,3,3 /:3,,3/:3,,3 ,/,,,/,,,3,3 5489154891
::2::2 !07239,,3!07239,,3
,, ,7,,7, 8:,9:8:,9: -,7,3 -,7,3 3,3, 2,,2,, :2,:2, ,3,3 /9,,7,3/9,,7,3,,3,,3 -,7,3 -,7,3 90780-:990780-:9 -079,2-, -079,2-, ,703,,703, 574/:803 574/:803 -07:8,,-07:8,,
:39::39: 203:3,,3203:3,,3 08025,9,308025,9,3 202507-08,7202507-08,7 0:39:3,30:39:3,3 $0-,3,$0-,3, , , ,7,,7, -,7,3 -,7,3 90780-:990780-:9 9:7:39:7:3 2,,2,, :2,:2,
-,7,3 -,7,3 ,3,3 /9,,7,3/9,,7,3 ,,3,,3 -07:7,3 -07:7,3 ,703,,703, 574/:803574/:803-07:8,,-07:8,, 203:7,3203:7,3 07:,33,07:,33,
8:288:28 ,9078,9078 !,7-:8!,7-:8
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
9/23
:38:38 !03,,7,3!03,,7,3 207:5,,3207:5,,3 :-:3,3:-:3,3 ,39,7,,39,7, ;,7,-0;,7,-0
,3,3 203039:,3202503,7:203039:,3202503,7: :2, :2, ,3,3 /9,,7,3/9,,7,3
,9:,9: ,7,,7, 55 /03,3/03,3 ;,7,-0;,7,-0 ,3,3 /503,7:/503,7: ,9:,9: :2,:2,
,3,3 /9,,7,3/9,,7,3
:-:3,3:-:3,3 90780-:990780-:9 /3,9,,3/3,9,,3 /03,3/03,3 ,/,,,/,, 1:381:38 55
11 55 /,3/,3 80-,3,80-,3, 55 11
:38:38 /,3/,3 :7;0:7;0 !03,,7,3!03,,7,3 307307
:7;0:7;0 503,,7,3503,,7,3 :2:23,:2:23, -0707,-0707, /,7/,7 77 -,,-,, 00 ,3,3,3,3
,9,8,9,8
',7,-0',7,-0 :,399,8:,399,8 /,3/,3 ;,7,-0;,7,-0 ,7,,7, 9/,9/, 2:332:33 907,/907,/
5,/,5,/, 3,3, 30,9130,91
$:,9:$:,9: 93,993,9 ,7,,7, 55 ,3,,3, 907,39:3907,39:3 8,9:8,9: 3,3, :,399,8:,399,8
,9,:,9,: 80-,3,80-,3,
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
10/23
039::2:2039::2:2
$,5-$,5-
4394543945
,52,,,52,,
,2,,5,2,,5 55
:7;,!03,,7,3$5
:,399,8
,7,
5
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
11/23
$5,-$5,-
4394$54394$5
,2,,5,2,,5
,52,,,52,,
,9,8,3;,7,-0:,399,8,9,8,3;,7,-0:,399,8
__
,9,8,3;,7,-0,7,,9,8,3;,7,-0,7,5_5_
:7;0!03,,7,3$5
:,399,8
,
7
,
5
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
12/23
:38/,3:7;0!03,,7,343307!,7,-4,:38/,3:7;0!03,,7,343307!,7,-4,
:38:,/7,9:38:,/7,9
039:&2:2039:&2:2
1515
,5,5 -5.-5.
,52,,.,52,,.
,2,,,2,,
55 --]] bb-- ,.,,.,
%9!:3.,%9!:3.,
!!,,-,-,
$:2-:$2097$:2-:$2097
$$5$$5-,-,
439484,439484,
55 55
039:&2:2039:&2:2
5151
5,5, -.-.
,2,,5.,2,,5.
,52,,,52,,
--]] bb-- ,.,,.,
%9!:3.,%9!:3.,
!!-,-,,,
$:2-:$2097$:2-:$2097
$$$$-,-,
439484,439484,
!!
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
13/23
:38/,3:7;0!03,,7,3:38!0.,507-4,:38/,3:7;0!03,,7,3:38!0.,507-4,
039:&2:25,-./039:&2:25,-./
,2,,5-/,2,,5-/
,52,,,52,,-,-,
82949/,9,7,82949/,9,7,=2,,5,.=2,,5,.
8294990,,5=2,,8294990,,5=2,,/./.
&39:202-,39:/,,2502-:,9,37,12,,&39:202-,39:/,,2502-:,9,37,12,,
/507:,3-,39:,39,-0/507:,3-,39:,39,-0
4394543945
,2,,5,2,,5
,52,,,52,,
82949/,9,7=2,,582949/,9,7=2,,5
8294990,5=2,,8294990,5=2,,9,-03,8--9,-03,8--
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
14/23
%,-0502-,39:/,,2202-:,97,11:3850.,%,-0502-,39:/,,2202-:,97,11:3850.,
5 =
7,1:38!0.,
:,399,8
,7,
!
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
15/23
$!$##%"&$!$##%"&
!,8,7!,8,7 ,/,,,/,, 507902:,3 507902:,3 ,39,7,,39,7, 502-0 502-0 50239,50239, /,3/,3
503:,503:, 503,,7503,,7 -,-, /,,2/,,2 503079,3 503079,3 ,38:3,38:3 ,9,:5:3,9,:5:39/,9/, 80.,7,80.,7, 42:3,9142:3,91
,7,,7, 5,8,75,8,7 ,/,,,/,, ,7,,7, ,3,3 907,/907,/ 5,/, 5,/, 99990802-,30802-,3,3,3 5,8,7 5,8,7 ,9:,9: 9999 507902:,3 507902:,3 507239,,3507239,,3 /,3/,3503,,7,3503,,7,3
0802-,3,30802-,3,3 5,8,75,8,7 907,/907,/ ,, :2,:2, -,7,3-,7,3 ,3,3 /239,/239,8,2,8,2, /03,3/03,3 :2,:2, -,7,3-,7,3 ,3,3 /9,,7,3/9,,7,3
%9%9 0802-,,30802-,,3 /9039:,3/9039:,3 4040 9999 50754943,350754943,3 ,39,7,,39,7,.:7;0.:7;0 507239,,3 507239,,3 /,3/,3 503,,7,3 503,,7,3 /03,3/03,3 202507,9,3202507,9,35078,7,9,35078,7,9,3 8--8--
%9%9 0802-,3,30802-,3,3 5,8,7 5,8,7 ,3,,3, -07,: -07,: :39::39: 3,3,3,3,,3,3 5489154891
%9%9 0802-,3,30802-,3,3 5,8,7 5,8,7 ,3,,3, -07,: -07,: :39::39: 9999 ,3,320203:20203: 09039:,309039:,3 -,-, .:7;0.:7;0 507239,,3507239,,3 /,3/,3 503,,7,3503,,7,3
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
16/23
43944394.439484,0802-,3,35,8,7.439484,0802-,3,35,8,7
09,:09,: 1:381:38 507239,,3507239,,3 /,7/,7 8:,9:8:,9: -,7,3-,7,3 ,/,,,/,, 55
/,3/,3 1:381:38 503,,7,33,503,,7,33, ,/,,,/,, 55 // 2,3,2,3, :,399,8:,399,8/,3/,3 55 ,7,,7, ,7,,7, 9999 0802-,3,30802-,3,3 5,8,7 5,8,7 /,7/,7 -,7,3-,7,3
90780-:990780-:9 /,3/,3 ,2-,7,3,2-,7,3
09,:09,:
:38:38 507239,,3507239,,3 55 :38:38 503,,7,3503,,7,3 $$ 55
9,3,9,3, ,7,,7, 5,8,75,8,7 /,3/,3 :2,3,:2,3, /,7/,7 -,7,3-,7,3 90780-:990780-:9 ,,
:,399,8:,399,8 /,3/,3 55 ,7,,7, ,2-,7,3,2-,7,3
09,:1:38507239,,38:,9:-,7,3509,:1:38507239,,38:,9:-,7,35
/,31:38503,,7,33,$5/,31:38503,,7,33,$5 /2,3,5,7,/,3/2,3,5,7,/,3
:,399,8-,7,39039:,3,7,5,8,7-,7,390780-:9-08079,:,399,8-,7,39039:,3,7,5,8,7-,7,390780-:9-08079,
:2,-,7,33,,2-,7,3:2,-,7,33,,2-,7,3
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
17/23
,,-,3.439484,,,-,3.439484,
09,:09,:5/,3$55/,3$5
9,3,990802-,3,35,8,7/,3,2-,73,9,3,990802-,3,35,8,7/,3,2-,73,
,,-,3,,-,3
$$
5555
5555
55
55
55
&39:202-:,9,2-,7&39:202-:,9,2-,7
55
,52,,,52,,
,2,,5,2,,5
$5$5
,52,,,52,,
,2,,5,2,,5
,70/:,1:3890780-:9,70/:,1:3890780-:9907/,5,99954943,9:5,/,907/,5,99954943,9:5,/,
447/3,9447/3,9
07:93,/,,,2-,73,07:93,/,,,2-,73,
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
18/23
,7096:-7:2
:,399,8
,7,
!
$5
5
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
19/23
,,-,3.439484,,,-,3.439484,
09,:509,:5 /,3$5/,3$5
9,3,990802-,3,35,8,7/,3,2-,73,9,3,990802-,3,35,8,7/,3,2-,73,
,,-,3,,-,3
$$
]] bb
]] bb
]] bb
]]
,3/::3,,3,/,,3,,3/::3,,3,/,,3,
,354891,9:,354891,9:803,5803,5
,/9906:-7:23,,/9906:-7:23,
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
20/23
&39:202-:,97,13,&39:202-:,97,13,
55 ,2,,5,2,,5
,52,,,52,,
82949/,9,782949/,9,7=2,,=2,,
55 88294990,5=2,,88294990,5=2,,
%,-0502-,39:%,-0502-,39:
5
=
$5$5 ,2,,5,2,,5
,52,,,52,,
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
21/23
,,-,3.439484,,,-,3.439484,
09,:509,:5 /,3$5/,3$5
9,3,990802-,3,35,8,7/,3,2-,73,9,3,990802-,3,35,8,7/,3,2-,73,
$$
]] bb
]] bb
]] bb ]]
55
55
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
22/23
3,8,,2-,73,8,,2-,7
55
,2,,5.,2,,5.
,52,,,52,,
-- ,.,.
]] bb
]] bb ]] bb
]]
%9!:3.,%9!:3.,
!!
$:2-:$2097$:2-:$2097
$$$$
8/3/2019 II - Aplikasi Fungsi Dalam Ekonomi
23/23
$5$5
,2,,5,2,,5
,52,,,52,,
-- ,.,.
-,-,
%9!:3.,%9!:3.,
!!
!!
$:2-:$2097$:2-:$2097
$$$$