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Memformulasikan Fungsi Pencapaian untuk Goal Programming

Tabel 5.24. Keuntungan Penjualan Transformator yang Diharapkan Pada April 2011-Maret 2012 No Bulan Penjualan Rp Total Rupiah 25 KVA 50 KVA 100 KVA 1 April 2011 8.100.000 9.360.000 10.080.000 27.540.000 2 Mei 2011 8.100.000 9.360.000 10.640.000 28.100.000 3 Juni 2011 8.100.000 9.880.000 10.640.000 28.620.000 4 Juli 2011 8.550.000 9.880.000 10.640.000 29.070.000 5 Agustus 2011 8.550.000 9.880.000 11.200.000 29.630.000 6 September 2011 9.000.000 10.400.000 11.200.000 30.600.000 7 Oktober 2011 9.000.000 10.400.000 11.200.000 30.600.000 8 November 2011 9.000.000 10.400.000 11.760.000 31.160.000 9 Desember 2011 9.450.000 10.920.000 11.760.000 32.130.000 10 Januari 2012 9.450.000 10.920.000 11.760.000 32.130.000 11 Februari 2012 9.450.000 11.440.000 12.320.000 33.210.000 12 Maret 2012 9.900.000 11.440.000 12.320.000 33.660.000 Berdasarkan data-data di atas, maka formulasi fungsi untuk proyeksi keuntungan adalah: 450.000X 1April + 520.000 X 2April + 560.000 X 3April ≥ 27.540.000 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: 750.000X 1April + 820.000 X 2April + 860.000 X 3April + d 16 - - d 16 + = 27.540.000 Min Z = d 16 -

5.2.5. Memformulasikan Fungsi Pencapaian untuk Goal Programming

Berdasarkan sasaran-sasaran yang ingin dicapai, maka formulasi pencapaian untuk permasalahan Goal Programming adalah: Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1April + d 13 - - d 13 + = 18 X 2April + d 14 - - d 14 + = 18 X 3April + d 15 - - d 15 + = 18 750.000X 1April + 820.000 X 2April + 860.000 X 3April + d 16 - - d 16 + = 27.540.000 216,43X 1April + 240X 2 April + 432,86X 3 April + d 1 - - d 1 + = 9720 240X 1April + 388X 2April + 328X 3April + d 2 - - d 2 + = 30000 102X 1April + 178X 2April + 205X 3April + d 3 - - d 3 + = 15000 17X 1April + 19X 2April + 20X 3April + d 4 - - d 4 + = 1500 20X 1April + 22X 2April + 25X 3April + d 5 - - d 5 + = 1500 3X 1April + 3X 2April + 3X 3April + d 6 - - d 6 + = 200 4X 1April + 4X 2April + 4X 3April + d 7 - - d 7 + = 400 X 1April + X 2April + X 3April + d 8 - - d 8 + = 100 X 1April + X 2April + X 3April + d 9 - - d 9 + = 100 X 1April + X 2April + X 3April + d 10 - - d 10 + = 100 7X 1April + 10X 2April + 12X 3April + d 11 - - d 11 + = 1000 X 1April + X 2April + X 3April + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 Formulasi pencapaian untuk permasalahan Goal Programming untuk perencanaan tiap bulan dapat dilihat pada Tabel 5.25. Tabel 5.25. Formulasi Perencanaan Produksi Tiap Bulan Bulan Fungsi APRIL 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 18 X 2 + d 14 - - d 14 + = 18 X 3 + d 15 - - d 15 + = 18 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 27540000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9720 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 MEI 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 18 X 2 + d 14 - - d 14 + = 18 X 3 + d 15 - - d 15 + = 19 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 28100000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9390 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 Tabel 5.25. Formulasi Perencanaan Produksi ……. Lanjutan Bulan Fungsi JUNI 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 18 X 2 + d 14 - - d 14 + = 19 X 3 + d 15 - - d 15 + = 19 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 28620000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9000 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 JULI 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 19 X 2 + d 14 - - d 14 + = 19 X 3 + d 15 - - d 15 + = 19 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 29070000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9690 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 Tabel 5.25. Formulasi Perencanaan Produksi ……. Lanjutan Bulan Fungsi AGUSTUS 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 19 X 2 + d 14 - - d 14 + = 19 X 3 + d 15 - - d 15 + = 20 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 29630000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 8610 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 SEPTEMBER 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 20 X 2 + d 14 - - d 14 + = 20 X 3 + d 15 - - d 15 + = 20 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 30600000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9000 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 Tabel 5.25. Formulasi Perencanaan Produksi ……. Lanjutan Bulan Fungsi OKTOBER 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 20 X 2 + d 14 - - d 14 + = 20 X 3 + d 15 - - d 15 + = 20 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 30600000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9720 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 NOVEMBER 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 20 X 2 + d 14 - - d 14 + = 20 X 3 + d 15 - - d 15 + = 21 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 31160000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9780 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 Tabel 5.25. Formulasi Perencanaan Produksi ……. Lanjutan Bulan Fungsi DESEMBER 2011 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 21 X 2 + d 14 - - d 14 + = 21 X 3 + d 15 - - d 15 + = 21 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 32130000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9690 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 JANUARI 2012 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 21 X 2 + d 14 - - d 14 + = 21 X 3 + d 15 - - d 15 + = 21 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 32130000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 7470 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 Tabel 5.25. Formulasi Perencanaan Produksi ……. Lanjutan Bulan Fungsi FEBRUARI 2012 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 21 X 2 + d 14 - - d 14 + = 22 X 3 + d 15 - - d 15 + = 22 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 33210000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 8220 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0 MARET 2012 Min Z = P 1 d 13 - + d 14 - + d 15 - + P 2 d 16 - + P 3 d 1 + + P 4 ∑ = + 12 2 i di ST : X 1 + d 13 - - d 13 + = 22 X 2 + d 14 - - d 14 + = 22 X 3 + d 15 - - d 15 + = 22 450.000X 1 + 520.000 X 2 + 560.000 X 3 + d 16 - - d 16 + = 33660000 216,43X 1 + 240X 2 + 432,86X 3 + d 1 - - d 1 + = 9840 240X 1 + 388X 2 + 328X 3 + d 2 - - d 2 + = 30000 102X 1 + 178X 2 + 205X 3 + d 3 - - d 3 + = 15000 17X 1 + 19X 2 + 20X 3 + d 4 - - d 4 + = 1500 20X 1 + 22X 2 + 25X 3 + d 5 - - d 5 + = 1500 3X 1 + 3X 2 + 3X 3 + d 6 - - d 6 + = 200 4X 1 + 4X 2 + 4X 3 + d 7 - - d 7 + = 400 X 1 + X 2 + X 3 + d 8 - - d 8 + = 100 X 1 + X 2 + X 3 + d 9 - - d 9 + = 100 X 1 + X 2 + X 3 + d 10 - - d 10 + = 100 7X 1 + 10X 2 + 12X 3 + d 11 - - d 11 + = 1000 X 1 +X 2 + X 3 + d 12 - - d 12 + = 100 X 1, X 2, X 3, d 1 - , d 1 + , d 2 - , d 2 + , d 3 - , d 3 + , d 4 - , d 4 + , d 5 - , d 5 + , d 6 - , d 6 + , d 7 - , d 7 + , d 8 - , d 8 + , d 9 - , d 9 + , d 10 - , d 10 + , d 11 - , d 11 + , d 12 - , d 12 + , d 13 - , d 13 + , d 14 - , d 14 + , d 15 - , d 15 + , d 16 - , d 16 + ≥ 0

5.2.6. Penyelesaian Fungsi Pencapaian Goal Programming

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