Penyelesaian:a) Northwest Corner RuleProject A Project B Project CPlantCapacitiesPlant 1 x1110x124x131170Plant 2 x2112x225x23850Plant 3 x319x327x33630ProjectRequirements40 50 6070503040 50 6040 305030 50 6040 30 5030 20 6040 30 20 30306040 30 20 30 306040 30 20 30 30

Solusi!x11=40; x12=30 ; x22=20 ; x23=30 ; x33=30"otal #ia$a % 40&10'(30&4'(20&5'(30&8'(30&6' % 1040 &)alam *'b) Modifed Distrbution Method (MODI Method)Project A Project B Project CPlantCapacitiesPlant 1 x1110x124x131170Plant 2 x2112x225x23850Plant 3 x319x327x33630ProjectRequirements40 50 6010504 112012-5 8509-7 630406010504 112012-5 850-9-7306

403010504-112012-530820-9-7306

302010504-11

2012-5308

-9-7306

Solusi!x11=20 ; x12=50 ; x21=20 ; x23=30; x33=30"otal #ia$a % 20+&10'(50+&4'(20+&12'( 30+&8'( 30+&6'% 1060&)alam *'c) Voel!s "##ro$i%ation Method (V"M)Project A Project B Project CPlantCapacitiesPlant 1 x1110x124x131170Plant 2 x2112x225x23850Plant 3 x319x327x33630ProjectRequirements40 50 6010504 1120 104%612-5 850 85%39-7 630 76%14060109%1 54%1 86%210504 1120 1110%1-12-5508 128%49-7 630 96%34010109%186%210504-1120 1110%1-12-5508 9-710620 96%340109%1116%510504-1120 -12-5508 209-7106 20109%12010504-11 -12-5508 209-7106

Solusi!X11=20 ; x12=50 ; x23=50 ; x31=20;x33=10"otal #ia$a % 20+&10'(50+&4'(50+&8'( 20+&9'( 10+&6' % 1040 &)alam *',an- C #elum )ija.a#++