Sunday 8 June 2014

Sebuah
SOAL: PTS di Kota Medan, akan memberikan beasiswa kepada 5 orang mahasiswanya. Adapun syarat pemberian beasiswa tersebut, yaitu harus memenuhi ketentuan berikut ini :

Syarat :
C1: Semester Aktif Perkuliahan (Attribut Keuntungan)
C2: IPK  (Attribut Keuntungan)
C3: Penghasilan Orang Tua  (Attribut Biaya)
C4: Aktif Berorganisasi (Attribut Keuntungan)

Untuk bobot W=[3,4,5,4]

Adapun mahasiswa yang menjadi alternatif dalam pemberian beasiswa yaitu :
No
Nama
C1
C2
C3
C4
1
Joko
VI
3.7
1.850.000
Aktif
2
Widodo
VI
3.5
1.500.000
Aktif
3
Simamora
VII
3.8
1.350.000
Tidak Aktif
4
Susilawati
II
3.9
1.650.000
Tidak Aktif
5
Dian
IV
3.6
2.300.000
Aktif
6
Roma
IV
3.3
2.250.000
Aktif
7
Hendro
VI
3.4
1.950.000
Aktif

Untuk pembobotan yang digunakan bisa mengacu pada bobot di bawah ini :
C1:Semester Aktif Perkuliahan
Semester II --> 1
Semester IV --> 2
Semester VI -->  3
Semester VIII -->  4

C2: IPK 
IPK  3.00 - 3.249 --> 1
IPK  3.25 - 3.499 --> 2
IPK  3.50 - 3.749 --> 3
IPK  3.75 - 3.999 --> 4
IPK  4.00 --> 5

C3: Penghasilan Orang Tua  
1.000.000 --> 1
1.400.000 --> 2
1.800.000 --> 3
2.200.000 --> 4
2.600.000 --> 5

C4: Aktif Berorganisasi
Aktif --> 2
Tidak Aktif --> 1

JAWABAN:
NO
NAMA
C1
C2
C3
C4
1
Joko
3
3
3
2
2
Widodo
3
3
2
2
3
Simamora
3
4
1
1
4
Susilawati
1
4
2
1
5
Dian
2
3
4
2
6
Roma
2
2
4
2
7
Hendro
3
2
3
2







W=(3,4,5,4)
X1=+++==6,708
R11== 0,447     r41=

=0,149          r71=0,477                                                                                                                                     
R21=0,447              r51==0,298

R31=0,447                r61= 0,298

X2=+++==8,185

R12=0,366     r42=0,488         r72=0,244                                                                                                                                  
R22=0,366      r52=0,366
R32=0,488      r62= 0,244

X3=+++==7,681

R13=0,366     r43=0,488         r73=0,244                                                                                                                                  
R23=0,366      r53=0,366
R33=0,488      r63= 0,244

X4=+++==4,690

R14=0,426    r44=0,213         r74=0,426                                                                                                                                
R24=0,426      r54=0,426
R34=0,213      r64= 0,426

R= 0,477    0,366    0,390   0,426
      0,477    0,366    0,260   0,426
      0,477    0,488    0,130   0,213
      0,149    0,488    0,260   0,213
      0,298    0,366    0,520   0,426
      0,298    0,244    0,520   0,426
      0,447   0,244    0,390  0,426

W=(3,4,5,4)
3(0,447)=1,341                        4(0,366)=1,464                        5(0,390)=1,95             4(0,426)=1,704
3(0,447)=1,341                        4(0,366)=1,464                        5(0,260)=1,3               4(0,426)=1,704
3(0,447)=1,341                        4(0,488)=1,952                        5(0,130)=0,65             4(0,213)=0,852
3(0,149)=0.447                        4(0.488)=1,952                        5(0,260)=1,3               4(0,213)=0,852
3(0,298)=0.894                        4(0,366)=1,464                        5(0,520)=2,6               4(0,426)=1,704
3(0,298)=0.894                        4(0,244)=0,967                        5(0,520)=2,6               4(0,426)=1.174
3(0,447)=1,341                        4(0,244)=0,967                        5(3,90)=1,95               4(0,426)=1,174

Y =1,341         1,464               1,95                 1,704
      1,341         1,464               1,3                   1,704
      1,341         1,952               0,65                 0,852
      0,447         1,952               1,3                   0,852
      0,894         1,464               2,6                   1,704
      0,894         0,976               2,6                   1,704
      1,341         0,976               1,95                 1,704

Y1+ = 1,341                                                   
Y2+ =1,952
Y3+=2,6
Y4+=1,704
A+= (1,341, 1,952 , 2,6 , 1,704)


y- = 1,341        1,464               1,95                 1,704
        1.341       1,364               1,3                   1,704
        1,341       1,952               0,65                 0,852
        0,447       1,952               1,3                   0,852
        0,894       1,464               2,6                   1,704
        0,894       0,976               2,6                   1,704
        1,341       0,976               1,95                 1,704
    
Y1- =0,447

Y2- = 0,976

Y3- = 0,65
Y4- = 0,832
A- =(0,447, 0,976, 0,65, 0,852


D1+ = 638                        D1- = 5,707
D2+ = 1,93                              D2- = 5,349
D3+ = 4,527                            D3- = 3,06
D4+ = 3,214                            D4- = 3,105
D5+ = 0,437                            D5- = 5,835
D6+ = 1,5654                          D6 - = 5,361
D7+ = 6,7729                          D7- =5,233





V1= - = V1= 0,8994                V5= 0,9303
                             V2= 0,7348                 V6 = 0,2261
                             V3 = 0,4033                V7 = 0,4358
                             V4 = 0,4913

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