Blending problem:(adsbygoogle = window.adsbygoogle || []).push({});

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*0-31.66=100

therefore the amount used =131.66

Can anyone Explain it to me?

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# I have question&its solutiion but how?in LP

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