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Model Penugasan
Assignment Riset Operasi |
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Perusahaan
farmasi mempunyai 5 SPG yang ditempatkan |
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pada
area penjualan dengn angka seperti pada tabel dibawah (satuan uang) : |
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1.
Bagaimana menempatkan SPG agar angka minimal? |
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2.
Berapa ongkos total? |
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Tenaga |
Area Penjualan |
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SPG |
I |
II |
III |
IV |
V |
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A |
20 |
13 |
18 |
19 |
23 |
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B |
15 |
12 |
19 |
12 |
17 |
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C |
14 |
19 |
17 |
18 |
15 |
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D |
17 |
13 |
13 |
21 |
20 |
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E |
16 |
15 |
12 |
18 |
14 |
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Penyelesaian
: |
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I |
II |
III |
IV |
V |
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1. Menentukan nlai
terkecil pada baris |
20 |
⑬ |
18 |
19 |
23 |
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dan tandai angka dengan
lingkaran untuk memudahkan |
15 |
12 |
19 |
⑫ |
17 |
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⑭ |
19 |
17 |
18 |
15 |
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2. Mengurangi angka
setiap baris dengan baris |
17 |
13 |
⑬ |
21 |
20 |
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angka terkecil pada
setiap masing-masing |
16 |
15 |
⑫ |
18 |
14 |
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I |
II |
III |
IV |
V |
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3. Menentukan nilai
terkecil (K) pada setiap kolom . |
7 |
⓪ |
5 |
6 |
10 |
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setiap baris seperti
tahap 1 dan 2 untuk memudahkan |
3 |
0 |
7 |
⓪ |
5 |
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tandai angka tsb. |
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⓪ |
5 |
3 |
4 |
① |
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4 |
0 |
⓪ |
8 |
7 |
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4 |
3 |
0 |
6 |
2 |
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I |
II |
III |
IV |
V |
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4. Menarik garis pada
baris atau kolom pada nilai terkecil tadi. |
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0 |
5 |
6 |
9 |
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tidak boleh bertumpuk
dua-duanya. |
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3 |
0 |
7 |
0 |
4 |
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0 |
5 |
3 |
4 |
0 |
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5. Unsur di luar garis
dikurangi 1 |
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4 |
0 |
0 |
8 |
6 |
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4 |
3 |
0 |
6 |
① |
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6. Unsur yang dilalui
garis ditambah 1 |
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II |
III |
IV |
V |
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7. Menarik garis pada
kolom terluar yang |
6 |
0 |
5 |
5 |
8 |
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memiliki nilai K |
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3 |
1 |
8 |
0 |
4 |
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0 |
6 |
4 |
4 |
0 |
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3 |
0 |
0 |
7 |
5 |
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3 |
3 |
0 |
5 |
0 |
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SOLUSI
OPTIMAL : |
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(Satuan
Uang) |
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A : 2 |
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B : 4 |
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C : 1 |
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D : 3 |
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E : 5 |
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