SOAL :
Pada suatu kantor instansi membutuhkan pegawai yang terdiri dari tamatan SMP dan SMU sesuai kebutuhan organisasi tsb. Telah ditentukan bahwa untuk tenaga khusus tidak boleh melebihi 60 orang sedangkan untuk tenaga umum tidak boleh melebihi 90 orang. Untuk tenaga khusus dan umum diambil dari lulusan SMP dan SMU.
Pada suatu kantor instansi membutuhkan pegawai yang terdiri dari tamatan SMP dan SMU sesuai kebutuhan organisasi tsb. Telah ditentukan bahwa untuk tenaga khusus tidak boleh melebihi 60 orang sedangkan untuk tenaga umum tidak boleh melebihi 90 orang. Untuk tenaga khusus dan umum diambil dari lulusan SMP dan SMU.
Demikian juga untuk tenaga SMP diperhitungkan 60% yang
khusus sedangkan untuk tenaga SMU diperhitungkan 75% yang umum.
Pertanyaan :
formulasikan model persoalan ini dalam bentuk pemrograman
linier apabila dikehendaki jumlah tenaga maksimum 3X jumlah tenaga SMU dan 2X
jumlah tenaga SMP
Perhitungkan besarnya tenaga-tenaga SMP dan SMU.
Jawaban :
|
Jenis Tenaga
|
SMP
|
SMU
|
Jumlah tenaga
|
|
Tenaga Umum
|
60 × 1
|
× 2
|
60
|
|
Tenaga Khusus
|
× 1
|
75 × 2
|
90
|
Persamaan
: 60 ×1 +
×2 <= 60
×1 + 75×2
<=90
Penyelesaian
:
·
Mencari nilai ×1 dengan mengeliminasi ×2.
60×1 + ×2 <=60| ×75 | 4500×1 +75×2
<=4500
×1 +75×2<=90 |
×1 | ×1 +75×2 <=90 _
_______________________
4499×1
<= 4410
×1 <= 0.98
·
Mencari nilai x2 dengan memasukan nilai x1
X1 + 75x2 <= 90
0.98 + 75x2 <= 90
75x2
<= 89.02
X2 <= 89.02/75
X2 <= 1.18
·
Hasilnya :
SMP è
x1 = 0.98
SMA è x2 = 1.18
Z = 2x1 +3x2
= 2 (0.98) + 3(1.18)
= 5.5
·
Jumlah
Tenaga Umum :
60x1 +x2
<= 60
60(0.98) +1.18 <=
60
58.8 + 1.18 <= 60
59.98 <= 60
·
Jumllah Tenaga Khusus :
x1 + 75x2 <=
90
0.98 + 75(1.18) <=
60
0.98 + 88.5 <= 60
INTOXICATING BEVERAGES?
BalasHapusDoes God really approve of Christians drinking intoxicating beverages? Did Jesus actually turn water into intoxicating wine so the wedding party could continue to drink themselves into a drunken stupor? (John 2:1-10) I do not think so. If the wedding party had been drinking intoxicating wine, then many of them would have already been drunk. All wine mentioned in the Bible is not fermented wine nor does all wine have a high alcohol content.
Noah was a social wine drinker. How did that work out for him?
Genesis 9:20-25 ....21 He drank of the wine and became drunk, and uncovered himself inside his tent....24 When Noah awoke from his wine, he knew what his youngest son had done to him. 25 So he said, "Cursed be Canaan; A servant of servants he shall be to his brothers."
Do social drinkers get drunk? Noah did.
Lot was a social wine drinker. Was that a good thing?
Genesis 19:30-38....32 Come, let us make our father drink wine, and let us lie with him that we may preserve our family though our father.....
Had Lot not been a social drinker he never would have committed incest. Social drinking always precedes drunkenness.
Were priests social drinkers?
Leviticus 10:8-11 The Lord then spoke to Aaron, saying , 9 "Do not drink wine or strong drink, neither you nor your sons with you, when you come into the tent of meeting, so that you will not die---it is a perpetual statute throughout your generations.....
Social drinking was not inconsequential for priests.
Hosea 4:11 Harlotry, wine and new wine take away the understanding.
Is wisdom and understanding a result of social drinking. No.
All drunkards were social drinkers before they became drunkards.
Galatians 5:21 envying, drunkenness, carousing, and things like these, of which I forewarn you, just as I have forewarned you, that those who practice such things will not inherit the kingdom of God.
SOCIAL DRINKING IS TRAINING WHEELS FOR DRUNKARDS!
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