Assignment 2.docx - Lab assignment Problem 1 X1(A raw...

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Lab assignment Problem 1 X1: (A) raw material I X2: (B) raw material II Z: profit per unit Objective Function (Z): Z=12X1+20X2 (Maximize Z) Constrains: - 0.65X1+0.35X2<=215 - 0.40X1+0.60X2<=170 - X1<=120 - X1>=50 - X2<=195 - X2>=35 - X1, X2>=0 Conclusion: The optimal production amounts of A & B is (A)-X1=120.0 units, (B)-X2=195 units whereas Z=12(120) +20(195) =5340 per unit. Problem 2
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X1= Number of working hours. X2= Number of playing hours. Z= Time allocate for both work and play. Objective Function (Z): Z=X1+2X2 (Maximize Z) Constrains: - X1+X2<=10 - -X1+X2<=0 - X2<=4 - X1, X2>=0 Conclusion: The optimal mix between work and play time is X1=6, X2=4 whereas Z= (6)+2(4)=14 (Maximized ).
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