Optimasi Pengadaan Sayuran Organik (Studi Kasus Studi Kasus di PT. Masada Organik Indonesia, Bogor).
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102 LAMPIRAN
Lampiran 2. Perhitungan Koefisien Nilai Fungsi Tujuan
Lampiran 3. Data volume pengadaan dan keuntungan kotor pada PT. Masada Organik Indonesia Jenis Sayuran Laba Kontribusi Volume Produksi Keuntungan
Bayam hijau 21.556 1267.5 27.322.320
Caisim 21.556 1263.25 27.230.618
Brokoli 3.743 7750.55 29.010.308,65
Wortel 3.171 5927 18.794.517
Jumlah 102.357.674
Lampiran 4. Perbandingan Antara Target Sasaran Dengan Hasil Optimasi Kedua Alternatif Dan Kondisi Aktual
Target Sasaran/
Sumberdaya Jumlah Sasaran/ Sumberdaya
Yang Tersedia Alternatif 1 Alternatif 2 Kondisi Aktual Sasaran Keuntungan
(dalam Rp) 102.357.671,00 102.357.672,00 102.317.891,00 101.768.751,00 Target pengadaan
berdasarkan
permintaan (dalam kg) - Bayam (X1) - Caisim (X2) - Brokoli (X3) - Wortel (X4)
1.440 1.440 9.310 7.710 925 1.440 7.196 7.710 - - - - 1.170,50 1.215,25 7.924,50 5.394,00 Target pengadaan berdasarkan target perusahaan (dalam kg)
- Bayam (X1) - Caisim (X2) - Brokoli (X3) - Wortel (X4)
1.267 1.262 7.750 5.927 - - - - 1.267 1.262 7.750 5.927 1.170,50 1.215,25 7.924,50 5.394,00
Luas Lahan (m2) 16.000 14.855 14.892 -
Modal (Rp) 215.026.055,00 215.026.048,00 215.014.120,00 -
Tenaga kerja (jam) 59.808 55.490 55.756,5 -
Jenis Sayuran Harga Jual Rata-rata
Tahun 2011 (Rp/Kg) Modal rata-rata tahun 2011 (Rp/Kg) Keuntungan Kotor Rata-rata Tahun 2011 (Rp/Kg)
Bayam hijau 28.376 6.820 21.556
Caisim 28.376 6.820 21.556
Brokoli 23.969 20.226 3.743
(6)
103 Lampiran 5. Modal Rata-rata Yang Dikeluarkan Untuk Pengadaan Sayuran Tahun 2011
Jenis Sayuran Jumlah (Kg) Tarif Modal (Rp/Kg/Tahun) Jumlah (Rp)
Bayam 1267.5 6.820 8.640.940
Caisim 1263.25 6.820 8.613.660
Brokoli 7750.55 20.226 156.751.500
Wortel 5927 6.920 41.014.840
Total
215.026.055,-Lampiran 6. Biaya Operasional PT. Masada Organik Indonesia Tahun 2011
Jenis Biaya Jan-Feb Mar-Apr Mei-Jun Jul-Agus Sep-Okt Nov-Des Upah
Packing 5.844.525 6.686.403 6.969.684 6.300.675 5.822.986 6.562.687 Upah
Kebun 12.511.400 13.920.000 14.237.900 12.303.900 11.327.700 12.181.700 B. Baku
Packaging 6.754.000 7.793.200 4.698.000 6.775.500 6.032.000 8.438.780
B.Baku
Kebun 5.824.000 8.055.500 9.011.000 7.964.000 8.297.000 8.580.000 Peralatan
packaging 30.000 18.000 67.000 14.000 200.000 61.000
Peralatan
Kebun 1.232.000 753.000 192.500 44.000 145.000 349.500 Biaya
Pemasok 1.650.000 1.750.000 0 0 299.000 0
ATK 247.750 186.500 492.000 131.000 318.177 149.000
Transportasi 653.000 496.000 591.000 827.000 959.600 1.008.500 Jasa 700.800 788.400 810.000 720.000 1.320.000 810.000 Dan
lain-lain 2.492.000 2.525.500 3.022.000 6.629.400 4.386.000 2.824.000 Total 37.939.475 42.972.503 40.091.084 41.709.475 39.107.463 40.965.167
(7)
104 Lampiran 7. Model Optimasi Pengadaan Berdasarkan Permintaan (alternatif pertama)
MIN DB+DC+DE+DG+DI SUBJECT TO
a. Sasaran Target Keuntungan
21.556X1+21.556X2+3.743X3+3.171X4+DA- -DB+ 102.357.671 b. Sasaran Target Pengadaan Berdasarkan Permintaan X1+DC- -DD+ 1.440
X2+DE- -DF+ 1.440 X3+DG- -DH+ 9.310 X4+DI- -DJ+ 7.710
c. Kendala Lahan
0.129X1+0.087X2+0.064X3+0.057X4 16.000 d. Kendala Tenaga Kerja
0.25X1+0.25X2+0.25X3+0.25X4 59.808 e. Kendala Modal
6820X1+6820X2+20226X3+6920X4 215.026.055 END
(8)
105 Lampiran 8. Prin O Hasil Optimasi alternatif pertama
LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE 1) 2629.292
VARIABLE VALUE REDUCED COST DB 0.000000 0.999967 DC 515.236389 0.000000 DE 0.000000 0.000000 DG 2114.056152 0.000000 DI 0.000000 0.596125 X1 924.763611 0.000000 X2 1440.000000 0.000000 X3 7195.943848 0.000000 X4 7710.000000 0.000000 DA 0.000000 0.000033 DD 0.000000 1.000000 DF 0.000000 1.000000 DH 0.000000 1.000000 DJ 0.000000 0.403875
ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.000033
(9)
106 4) 0.000000 -1.000000
5) 0.000000 -1.000000 6) 0.000000 -0.403875 7) 14855.415039 0.000000 8) 55490.324219 0.000000 9) 0.000000 0.000043 NO. ITERATIONS 2
RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE DB 1.000000 INFINITY 0.999967 DC 1.000000 0.000000 0.662810 DE 1.000000 INFINITY 0.000000 DG 1.000000 1.918500 0.826359 DI 1.000000 INFINITY 0.596125 X1 0.000000 0.662810 0.000000 X2 0.000000 0.000000 1.000000 X3 0.000000 0.826359 1.918500 X4 0.000000 0.596125 0.403875 DA 0.000000 INFINITY 0.000033 DD 0.000000 INFINITY 1.000000 DF 0.000000 INFINITY 1.000000
(10)
107 DH 0.000000 INFINITY 1.000000
DJ 0.000000 INFINITY 0.403875 RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 102357672.000000 10456155.000000 18767058.000000 3 1440.000000 INFINITY 515.236389 4 1440.000000 924.763611 515.236389 5 9310.000000 INFINITY 2114.056152 6 7710.000000 9927.597656 5531.207520 7 16000.000000 INFINITY 14855.415039 8 59808.000000 INFINITY 55490.324219 9 215026048.000000 40255372.000000 56501788.000000
(11)
108 Lampiran 9. Model Optimasi Pengadaan Berdasarkan Target Perusahaan (alternatif dua)
MIN DB+DK+DM+DO+DQ SUBJECT TO
a. Sasaran Target Keuntungan
21.556X1+21.556X2+3.743X3+3.171X4+DA- -DB+ 102.357.671 b. Sasaran Target Pengadaan Berdasarkan target perusahaan X1+DK- -DL+ 1.267
X2+DM- -DN+ 1.262 X3+DO- -DP+ 7.750 X4+DQ- -DR+ 5.927
c. Kendala Lahan
0.129X1+0.087X2+0.064X3+0.057X4 16.000 d. Kendala Tenaga Kerja
0.25X1+0.25X2+0.25X3+0.25X4 59.808 e. Kendala Modal
6820X1+6820X2+20226X3+6920X4 215.026.055 END
(12)
109 Lampiran 10. Prin O Hasil Optimasi Alternatif Dua
LP OPTIMUM FOUND AT STEP 4 OBJECTIVE FUNCTION VALUE 1) 0.0000000E+00
VARIABLE VALUE REDUCED COST DB 0.000000 1.000000
DK 0.000000 1.000000 DM 0.000000 1.000000 DO 0.000000 1.000000 DQ 0.000000 1.000000 X1 1267.000000 0.000000 X2 1262.000000 0.000000 X3 7750.000000 0.000000 X4 5927.000000 0.000000 DA 39781.000000 0.000000 DL 0.000000 0.000000 DN 0.000000 0.000000 DP 0.000000 0.000000 DR 0.000000 0.000000
(13)
110 ROW SLACK OR SURPLUS DUAL PRICES
2) 0.000000 0.000000 3) 0.000000 0.000000 4) 0.000000 0.000000 5) 0.000000 0.000000 6) 0.000000 0.000000 7) 14892.923828 0.000000 8) 55756.500000 0.000000 9) 11928.000000 0.000000 NO. ITERATIONS 4
RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE DB 1.000000 INFINITY 1.000000 DK 1.000000 INFINITY 1.000000 DM 1.000000 INFINITY 1.000000 DO 1.000000 INFINITY 1.000000 DQ 1.000000 INFINITY 1.000000 X1 0.000000 1.000000 0.000000 X2 0.000000 1.000000 0.000000 X3 0.000000 1.000000 0.000000 X4 0.000000 1.000000 0.000000
(14)
111 DA 0.000000 0.000000 0.000046
DL 0.000000 INFINITY 0.000000 DN 0.000000 INFINITY 0.000000 DP 0.000000 INFINITY 0.000000 DR 0.000000 INFINITY 0.000000 RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 102357672.000000 INFINITY 39781.000000 3 1267.000000 1.748974 1267.000000 4 1262.000000 1.748974 1262.000000 5 7750.000000 0.589736 7750.000000 6 5927.000000 1.723699 5927.000000 7 16000.000000 INFINITY 14892.923828 8 59808.000000 INFINITY 55756.500000 9 215026048.000000 INFINITY 11928.000000
(1)
4) 0.000000 -1.000000 5) 0.000000 -1.000000 6) 0.000000 -0.403875 7) 14855.415039 0.000000 8) 55490.324219 0.000000 9) 0.000000 0.000043 NO. ITERATIONS 2
RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE DB 1.000000 INFINITY 0.999967 DC 1.000000 0.000000 0.662810 DE 1.000000 INFINITY 0.000000 DG 1.000000 1.918500 0.826359 DI 1.000000 INFINITY 0.596125 X1 0.000000 0.662810 0.000000 X2 0.000000 0.000000 1.000000 X3 0.000000 0.826359 1.918500 X4 0.000000 0.596125 0.403875 DA 0.000000 INFINITY 0.000033 DD 0.000000 INFINITY 1.000000 DF 0.000000 INFINITY 1.000000
(2)
DH 0.000000 INFINITY 1.000000 DJ 0.000000 INFINITY 0.403875 RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 102357672.000000 10456155.000000 18767058.000000 3 1440.000000 INFINITY 515.236389 4 1440.000000 924.763611 515.236389 5 9310.000000 INFINITY 2114.056152 6 7710.000000 9927.597656 5531.207520 7 16000.000000 INFINITY 14855.415039 8 59808.000000 INFINITY 55490.324219 9 215026048.000000 40255372.000000 56501788.000000
(3)
Lampiran 9. Model Optimasi Pengadaan Berdasarkan Target Perusahaan (alternatif dua) MIN DB+DK+DM+DO+DQ
SUBJECT TO
a. Sasaran Target Keuntungan
21.556X1+21.556X2+3.743X3+3.171X4+DA- -DB+ 102.357.671
b. Sasaran Target Pengadaan Berdasarkan target perusahaan X1+DK- -DL+ 1.267
X2+DM- -DN+ 1.262
X3+DO- -DP+ 7.750
X4+DQ- -DR+ 5.927
c. Kendala Lahan
0.129X1+0.087X2+0.064X3+0.057X4 16.000
d. Kendala Tenaga Kerja
0.25X1+0.25X2+0.25X3+0.25X4 59.808
e. Kendala Modal
6820X1+6820X2+20226X3+6920X4 215.026.055
(4)
Lampiran 10. Prin O Hasil Optimasi Alternatif Dua
LP OPTIMUM FOUND AT STEP 4 OBJECTIVE FUNCTION VALUE 1) 0.0000000E+00
VARIABLE VALUE REDUCED COST DB 0.000000 1.000000
DK 0.000000 1.000000 DM 0.000000 1.000000 DO 0.000000 1.000000 DQ 0.000000 1.000000 X1 1267.000000 0.000000 X2 1262.000000 0.000000 X3 7750.000000 0.000000 X4 5927.000000 0.000000 DA 39781.000000 0.000000 DL 0.000000 0.000000 DN 0.000000 0.000000 DP 0.000000 0.000000 DR 0.000000 0.000000
(5)
ROW SLACK OR SURPLUS DUAL PRICES 2) 0.000000 0.000000
3) 0.000000 0.000000 4) 0.000000 0.000000 5) 0.000000 0.000000 6) 0.000000 0.000000 7) 14892.923828 0.000000 8) 55756.500000 0.000000 9) 11928.000000 0.000000 NO. ITERATIONS 4
RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES
VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE DB 1.000000 INFINITY 1.000000 DK 1.000000 INFINITY 1.000000 DM 1.000000 INFINITY 1.000000 DO 1.000000 INFINITY 1.000000 DQ 1.000000 INFINITY 1.000000 X1 0.000000 1.000000 0.000000 X2 0.000000 1.000000 0.000000 X3 0.000000 1.000000 0.000000 X4 0.000000 1.000000 0.000000
(6)
DA 0.000000 0.000000 0.000046 DL 0.000000 INFINITY 0.000000 DN 0.000000 INFINITY 0.000000 DP 0.000000 INFINITY 0.000000 DR 0.000000 INFINITY 0.000000 RIGHTHAND SIDE RANGES
ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE 2 102357672.000000 INFINITY 39781.000000 3 1267.000000 1.748974 1267.000000 4 1262.000000 1.748974 1262.000000 5 7750.000000 0.589736 7750.000000 6 5927.000000 1.723699 5927.000000 7 16000.000000 INFINITY 14892.923828 8 59808.000000 INFINITY 55756.500000 9 215026048.000000 INFINITY 11928.000000