Page 26 - e-book PROGRAM LINEAR okeeee

X2 = 12

 4X1+2X2+S1 = 60
2(12)+S1=60

S1 = 60-24

= 36

Z = 8000(0)+6000(12)+0+0=72000

(d). X2=S1=0
 4X1+2X2+S1=60

4X1= 60

X1=15

 2X1+4X2+S2=48
2(15) + S2 = 48

S2 = 48-30=18

Z = 8000(15)+6000(0)+0+0= 120.000

(e). X2=S2=0

 2X1+4X2+S2 =48
2X1=48
X1=24
 4X1+2X2+S1 =60
S1=60-4(24)=-36 (Tdk feasible)

(f). S1=S2=0
 4X1+2X2 = 60
2X2=60-4X1
X2=30-2X1

 2X1+4X2 = 48

2X1+4(30-2X1)=48
2X1+120-8X1 = 48

6X1 = 120-48
X1 = 12

X2 =30-24= 6

Z =8000(12)+6000(6)=132.000

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