VI-1 Berdasarkan data-data di atas, maka formulasi fungsi untuk proyeksi keuntungan
bulan Januari 2015 adalah: 16200X
1
+ 15300 X
2
+ 14000 X
3
+ 13200 X
4
+ 12500 X
5
≥ 233.279.700 Dalam hal ini, sasaran perusahaan adalah untuk memaksimalkan keuntungan. Jadi,
diharapkan deviasi negatif keuntungan di bawah proyeksi keuntungan diusahakan nol. Untuk itu, model Goal Programming untuk fungsi ini adalah:
16200 X
1
+ 15300 X
2
+ 14000 X
3
+ 13200 X
4
+ 12500 X
5
+ DB16 - DA16 = 233.279.700
Min Z = DB16
5.2.2.4. Formulasi Fungsi Pencapaian
Fungsi pencapaian disusun berdasarkan sasaran yang ingin dicapai, maka formulasi untuk bulan Januari 2016 adalah
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+ DA10
Subject To X
1
+ DB11 - DA11= 785 X
2
+ DB12 - DA12= 2447 X
3
+ DB13 - DA13= 3896 X
4
+ DB14 - DA14= 3953 X
5
+ DB15 - DA15= 6112
Universitas Sumatera Utara
16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 233279700
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480 12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DB2 - DA2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 – DB7= 55000
1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8= 125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000 X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10, DA10, DB11, DA11, DB12,
DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16 ≥ 0
Formulasi fungsi pencapaian untuk Februari- Desember 2016 dapat dilihat pada Tabel 5.18.
Universitas Sumatera Utara
Tabel 5.18. Formulasi Fungsi Pencapaian Februari– Desember 2016 Periode
Fungsi
Februari 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 870 X
2
+ DB12 - DA12= 3040 X
3
+ DB13 - DA13= 6138 X
4
+ DB14 - DA14= 9979 X
5
+ DB15 - DA15= 4497 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 =
334473300
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 16800
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Maret 2016
Min Z =DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 1005 X
2
+ DB12 - DA12= 3539 X
3
+ DB13 - DA13= 8028 X
4
+ DB14 - DA14= 15095 X
5
+ DB15 - DA15= 5358 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 =
449048700
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DB7 - DA7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
April 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 1055 X
2
+ DB12 - DA12= 3945 X
3
+ DB13 - DA13= 9566 X
4
+ DB14 - DA14= 19301 X
5
+ DB15 - DA15= 8465 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 =
571959200
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Mei 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 970 X
2
+ DB12 - DA12= 4257 X
3
+ DB13 - DA13= 10751 X
4
+ DB14 - DA14= 22598 X
5
+ DB15 - DA15= 12984 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 =
691953700
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 17640
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Juni 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 835 X
2
+ DB12 - DA12= 4475 X
3
+ DB13 - DA13= 11584 X
4
+ DB14 - DA14= 24986 X
5
+ DB15 - DA15= 17705 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 =
795298200
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Juli 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 785 X
2
+ DB12 - DA12= 4600 X
3
+ DB13 - DA13= 12066 X
4
+ DB14 - DA14= 26464 X
5
+ DB15 - DA15= 21364 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 868395800
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 19320
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Agustus 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 870 X
2
+ DB12 - DA12= 4631 X
3
+ DB13 - DA13= 12195 X
4
+ DB14 - DA14= 27033 X
5
+ DB15 - DA15= 22979 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 899751400
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
September 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 1005 X
2
+ DB12 - DA12= 4568 X
3
+ DB13 - DA13= 11972 X
4
+ DB14 - DA14= 26692 X
5
+ DB15 - DA15= 22118 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 882588800
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Oktober 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 1055 X
2
+ DB12 - DA12= 4411 X
3
+ DB13 - DA13= 11397 X
4
+ DB14 - DA14= 25442 X
5
+ DB15 - DA15= 19011 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 817609200
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 18480
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 – DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20. Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
November 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA2 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 970 X
2
+ DB12 - DA12= 4161 X
3
+ DB13 - DA13= 10470 X
4
+ DB14 - DA14= 23282 X
5
+ DB15 - DA15= 14492 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 714429700
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 17640
12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2= 800000
1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 – DB3= 140000 2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8=
125000 0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000
0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10= 15000
X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
Tabel 5.20 Formulasi Fungsi Pencapaian Februari– Desember 2016 Lanjutan Periode
Fungsi
Desember 2016
Min Z = DB11 +DB12 + DB13+ DB14+ DB15+ DB16 + DA1+ DA22 + DA3+ DA4+ DA5+ DA6+ DA7+ DA8+ DA9+
DA10 Subject To
X
1
+ DB11 - DA11= 835 X
2
+ DB12 - DA12= 3817 X
3
+ DB13 - DA13= 9191 X
4
+ DB14 - DA14= 20212 X
5
+ DB15 - DA15= 9771 16200X
1
+ 15300X
2
+ 14000X
3
+ 13200X
4
+ 12500X
5
+ DB16 - DA16 = 589537000
0,4X1 + 0,35X2 + 0,35X3+ 0,25X4 + 0,25X5+ DA1- DB1 = 19320 12X1 + 11,75X2 + 11,25X3 + 10,75X4 + 11,50X5 + DA2 - DB2=
800000 1,88X1 + 1,88X2 + 2X3 + 2X4 + 1,88X5 + DA3 - DB3= 140000
2,88X1 + 3X2 + 2,88X3 + 3X4 + 3X5
+ DA4 - DB4= 220000 1X1 + 1,25X2 + 1,5X3 + 1,5X4 + 1,5X5+ DA5 - DB5= 120000
5,5X1 + 5,25X2 + 5,25X3 + 5,5X4 + 5X5 + DA6 - DB6= 380000 0,63X1 + 0,63X2 + 0,75X3 + 0,75X4 + 0,63X5+ DA7 - DB7=
55000 1,38X1 + 1,5X2 + 1,5X3 + 1,75X4 + 1,75X5+ DA8 - DB8= 125000
0,5X1 + 0,5X2 + 0,63X3 + 0,63X4 + 0,63X5+ DA9 - DB9= 45000 0,19X1 + 0,25X2 + 0,25X3 + 0,13X4 + 0,13X5 + DA10 - DB10=
15000 X
1,
X
2,
X
3,
X
4
, X
5,
DB1, DA1, DB2, DA2, DB3, DA3, DB4, DA4, DB5, DA5, DB6, DA6, DB7, DA7, DB8, DA8, DB9, DA9, DB10,
DA10, DB11, DA11, DB12, DA12,DB13, DA13, DB14, DA14, DB15, DA15, DB16, DA16
≥ 0
Universitas Sumatera Utara
5.2.2.5. Penyelesaian Fungsi Pencapaian dengan Software LINDO 6.1.
