I am having trouble solving 3 variable inequalites using graphs. can anyone please help me.
Xi>=0 for i=1,2,3 X1+2X2+3X3<=12 4X1+X2+X3<=8
The objective functions are maximize 3X1+2X2+X3 minimize 2X1+3X2+4X3
Clarification/Follow-up by aalkhodor on 12/10/06 4:19 pm: You have to find the intersection points by solving 2X2+3X3=12 X2+X3=8
X1+2X2=12 4X1+X2=8
X1+3X3=12 4X1+X3=8
This can be solved easily by elemination or from the site :2Unknown Calculator.htm Then substitute in the objective function to obtain minimum or maximum value.
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