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Monday, April 14, 2014

tugas

Perusahaaan barang tembikar colonial memproduksi 2 produk setiap hari, yaitu cangkir dan mangkok. Perusahaan itu mempunyai2 sumber daya terbatas jumlahnya untuk memproduksi produk-produk tersebut yaitu tanahliat (120 kg/hari), tenaga kerja (40 jam/hari). Dengan keterbatasan sumberdaya perusahaan ingin mengetahui berapa banyak mangkosk dan cangkir yang akan diproduksi tiap hari dalam proses memaksimumkan laba. Kedua produk mempunyai kebutuhan sumberdaya produksi sertalaba per jam seperti yang ditunjukkan table.
Produk
TenagaKerja
(jam/unit)
Tanah Liat
(kg/unit)
Laba
(Rp/unit)
Mangkok
1
3
4000
Cangkir
2
2
5000
Jumlah
40
120


Fungsikendala :
       I.            X+2y<=40
    II.            3x=2y<=120
Fungsitujuan
Z = 4000x+5000y

Untukpersamaan I
Jika x=0 ; x+2y = 40                                               Jika y=0 ; x+2y = 40
                 0+2y=40                                                                  x+2(0) = 40
                 Y=20                                                                              x = 40

Untukpersamaan II
Jikax=0 : 3x+2y = 120                                            Jika y = 0 ; 3x + 2y =120
                 3(0) + 2y =120                                                           3x + 2(0) = 120
                 2y = 120                                                                                3x = 120
                 Y = 60                                                                                   x = 40




UntukPerpotongangaris
  x + 2y = 40
3x + 2y =120
-2x       = -80
     x     = 40

    x + 2y =40
40x + 2y = 40
            2y = 40 – 40
            2y = 0
              y = 0

·         (0,20)
Z = 4000x + 5000y
   = 4000(0) + 5000(20)
   = 0 + 100000
   = 100000
·         (40,0)
Z = 4000x + 5000y
   = 4000(40) + 5000(0)\
   = 160000 + 0
   = 160000





























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