
#1
Mar1909, 12:45 PM

P: 1

Blending problem:
Decision variables x1: tons of ore from mine 1 in each ton of the blend x2: tons of ore from mine 2 in each ton of the blend x3: tons of ore from mine 3 in each ton of the blend x4: tons of ore from mine 4 in each ton of the blend Objective function Min cost Min 800x1+400x2+600x3+500x4 Constraints Element A: 10x1+3x2+8x3+2x4>=5 Element B: 90x1+250x2+75x3+175x4>=100 Element C: 45x1+25x2+20x3+37x4>=30 Weight: x1+x2+x3+x4=1 If you know that Element B has slack of 31.666 x1=0.259259 x2=0.703705 x3=0.037037 x4=0.00000 there is a question what is the amount used of element B?compute it i found a solution please if it is right can anyone explain it to me 90*0.259259+250*0.703705+75*0.037037+175*031.66=100 therefore the amount used =131.66 Can anyone Explain it to me? 


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