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Memformulasikan Fungsi Pencapaian untuk Goal Programming

Berdasarkan data di atas, maka formulasi untuk proyeksi untuk proyeksi keuntungan adalah : 7.700 X 1 + 7.700 X 2 + 8.450 X 3 + 6.300 X 4 + 7.700 X 5 + 4.000 X 6 + 4.000 X 7 + 4.000 X 8 + 7.000 X 9 ≥ Rp. 1.426.584.825 Dalam data di atas, 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: 7.700 X 1 + 7.700 X 2 + 8.450 X 3 + 6.300 X 4 + 7.700 X 5 + 4.000 X 6 + 4.000 X 7 + 4.000 X 8 + 7.000 X 9 d 18 + - d 18 - = Rp. 1.426.584.825 Min Z = d 11 -

5.2.5. Memformulasikan Fungsi Pencapaian untuk Goal Programming

Berdasarkan sasaran-sasaran yang ingin dicapai, maka formulasi pencapaian untuk permasalahan Goal Programming adalah: 1. Gaga 100 Ayam Bawang ST : X1 + d 9 - - d 9 + = 6.632 X2 + d 10 - - d 10 + = 68.187 X3 + d 11 - - d 11 + = 428 X4 + d 12 - - d 12 + = 58.522 X5 + d 13 - - d 13 + = 8.789 X6 + d 14 - - d 14 + = 2.963 X7 + d 15 - - d 15 + = 23.479 X8 + d 16 - - d 16 + = 39.276 X9 + d 17 - - d 17 + = 21.090 Universitas Sumatera Utara 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 +4.000 X7 + 4.000 X8 + 7.000 X9 + d 11 - - d 11 + = 31623900 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - d 1 - - d 1 + = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.016X 8 +0.013X 9 + d 2 - - d 2 + = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.352 X 8 +0.300X 9 + d 3 - - d 3 + = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.050 X 8 +0.042X 9 d 4 - - d 4 + = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + d 5 - - d 5 + = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + d 6 - - d 6 + = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + d 7 - - d 7 + = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,002 X 8 +0,002 + d 8 - -d 8 + = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Formulasi pencapaian untuk permasalahan Goal Programming untuk perencanaan Setiap bulan dapat dilihat pada Tabel 5.17. berikut. Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Februari 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 6173 X2 + DB 10 - DA 10 = 67119 X3 + DB 11 - DA 11 = 392 X4 + DB 12 - DA 12 = 57985 X5 + DB 13 - DA 13 = 9047 X6 + DB 14 - DA 14 = 2705 X7 + DB 15 - DA 15 = 23012 X8 + DB 16 - DA 16 = 38486 X9 + DB 17 - DA 17 = 21144 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1407449189 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0 .016X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0 .352X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0 .050X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0 ,002X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Maret 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 5714 X2 + DB 10 - DA 10 = 66051 X3 + DB 11 - DA 11 = 357 X4 + DB 12 - DA 12 = 57477 X5 + DB 13 - DA 13 = 9305 X6 + DB 14 - DA 14 = 2448 X7 + DB 15 - DA 15 = 22545 X8 + DB 16 - DA 16 = 37695 X9 + DB 17 - DA 17 =21198 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1388502596 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0. 016X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0 .352X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0 .050X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0 ,002X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5. 10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi April 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 5255 X2 + DB 10 - DA 10 = 64983 X3 + DB 11 - DA 11 = 322 X4 + DB 12 - DA 12 = 56910 X5 + DB 13 - DA 13 = 9562 X6 + DB 14 - DA 14 = 2191 X7 + DB 15 - DA 15 = 22078 X8 + DB 16 - DA 16 = 36905 X9 + DB 17 - DA 17 = 21252 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1369177886 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 + 0.016X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 + 0.352X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 + 0.050X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 + 0,002X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Mei 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 4795 X2 + DB 10 - DA 10 = 63915 X3 + DB 11 - DA 11 = 287 X4 + DB 12 - DA 12 = 56373 X5 + DB 13 - DA 13 = 9820 X6 + DB 14 - DA 14 = 1934 X7 + DB 15 - DA 15 = 21611 X8 + DB 16 - DA 16 = 36114 X9 + DB 17 - DA 17 = 21306 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1350042146 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0. 016X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0 .352X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0 .050X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0 ,002X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Juni 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 4336 X2 + DB 10 - DA 10 = 62847 X3 + DB 11 - DA 11 = 252 X4 + DB 12 - DA 12 = 55836 X5 + DB 13 - DA 13 = 1007 X6 + DB 14 - DA 14 = 1677 X7 + DB 15 - DA 15 = 21144 X8 + DB 16 - DA 16 = 35324 X9 + DB 17 - DA 17 = 21360 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1330906462 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0. 016X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0. 352X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0. 050X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0, 002X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Juli 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 3877 X2 + DB 10 - DA 10 = 61779 X3 + DB 11 - DA 11 = 217 X4 + DB 12 - DA 12 = 55298 X5 + DB 13 - DA 13 = 1033 X6 + DB 14 - DA 14 = 1420 X7 + DB 15 - DA 15 = 20678 X8 + DB 16 - DA 16 = 39.276 X9 + DB 17 - DA 17 = 34534 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1311770861 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.01 6X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.35 2X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.05 0X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,00 2X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Agustus 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 3418 X2 + DB 10 - DA 10 = 60711 X3 + DB 11 - DA 11 = 182 X4 + DB 12 - DA 12 = 54741 X5 + DB 13 - DA 13 = 10594 X6 + DB 14 - DA 14 = 1162 X7 + DB 15 - DA 15 = 20211 X8 + DB 16 - DA 16 = 33743 X9 + DB 17 - DA 17 = 21467 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1292509224 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.01 6X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.3 52X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.0 50X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,0 02X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi September 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 2958 X2 + DB 10 - DA 10 = 59643 X3 + DB 11 - DA 11 =147 X4 + DB 12 - DA 12 = 54224 X5 + DB 13 - DA 13 = 10852 X6 + DB 14 - DA 14 = 905 X7 + DB 15 - DA 15 = 19744 X8 + DB 16 - DA 16 = 32953 X9 + DB 17 - DA 17 = 21521 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1273499545 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.01 6X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.35 2X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.05 0X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,00 2X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Oktober 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 2499 X2 + DB 10 - DA 10 = 58575 X3 + DB 11 - DA 11 = 112 X4 + DB 12 - DA 12 = 53687 X5 + DB 13 - DA 13 = 11110 X6 + DB 14 - DA 14 = 648 X7 + DB 15 - DA 15 = 19277 X8 + DB 16 - DA 16 = 32163 X9 + DB 17 - DA 17 = 21575 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1254363798 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.01 6X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.35 2X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.05 0X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10632000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,00 2X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi November 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 2040 X2 + DB 10 - DA 10 = 57507 X3 + DB 11 - DA 11 = 77 X4 + DB 12 - DA 12 = 53149 X5 + DB 13 - DA 13 = 11367 X6 + DB 14 - DA 14 = 391 X7 + DB 15 - DA 15 = 18810 X8 + DB 16 - DA 16 = 31372 X9 + DB 17 - DA 17 = 21629 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1235228317 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.01 6X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.35 2X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.05 0X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,00 2X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara Tabel 5.10. Formulasi Perencanaan Produksi Untuk Setiap Mie Bulan Fungsi Desember 2012 Min Z = P 1 d 10 + + P 2 d 11 - + P 3 d 1 - + P 4 ∑ = + 9 2 i di ST : X1 + DB 9 - DA 9 = 1581 X2 + DB 10 - DA 10 = 56439 X3 + DB 11 - DA 11 = 42 X4 + DB 12 - DA 12 = 52612 X5 + DB 13 - DA 13 = 11625 X6 + DB 14 - DA 14 = 134 X7 + DB 15 - DA 15 = 18343 X8 + DB 16 - DA 16 = 30582 X9 + DB 17 - DA 17 = 21683 7.700 X1 + 7.700 X2 + 8.450 X3 + 6.300 X4 + 7.700 X5 + 4.000 X6 + 4.000 X7 + 4.000 X8 + 7.000 X9 - DB11 + DA11 = 1216092570 3,610X 1 +3,610X 2 +3,610X 3 + 2,222X 4 + 3,610X 5 +2,933X 6 + 2,933X 7 + 2,222X 8 + 2,933X 9 - DB1 + DA1 = 19.200 0.012X 1 +0.012X 2 +0.012X 3 +0.016X 4 +0.016X 5 +0.013X 6 +0.013X 7 +0.01 6X 8 +0.013X 9 + DB2 - DA2 = 3600 0.260X 1 +0.260X 2 +0.260X 3 +0.352X 4 +0.260X 5 +0.300X 6 +0.300X 7 +0.35 2X 8 +0.300X 9 + DB3 - DA3 = 72.000 0.037X 1 +0.037X 2 +0.037X 3 +0.050X 4 +0.037X 5 +0.042X 6 +0.042X 7 +0.05 0X 8 +0.042X 9 DB4 - DA4 = 14.000 X 1 +X 2 +X 3 +X 4 +X 5 +X 6 +X 7 +X 8 +X 9 + DB5 - DA5 = 380.000 40 X 1 +40X 2 +40X 3 +40X 4 +40X 5 +40X 6 +40X 7 +40X 8 +40X 9 + DB6 - DA6 = 10.632.000 40 X 1 +40X 2 +40X 3 +80X 4 +80X 5 +40X 6 +40X 7 +80X 8 +80X 9 + DB7 - DA7 = 21.264.000 0,002X 1 +0,002X 2 +0,002X 3 +0,002X 4 +0,002X 5 +0,002X 6 +0,002X 7 +0,00 2X 8 +0,002 + DB8 - DA8 = 520 X 1, X 2, X 3, X 4, X 5, X 6, X 7, X 8, X 9, 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 17 + ≥ 0 Universitas Sumatera Utara

5.2.6. Penyelesaian Fungsi Pencapaian Goal Programming

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