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{"sheet":"Welcome","index":0,"n_rows":1,"n_cols":1,"rows_kept":1,"cut":false,"hidden":false,"merged":[]}
["©2005 Seref, Ahuja, Winston"]

{"sheet":"Tableau Sheet","index":1,"n_rows":15,"n_cols":3,"rows_kept":15,"cut":false,"hidden":true,"merged":[]}
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[null,"Initial Tableau"]
[null,null,"z"]
[null,"z",1]
[null,null,0]

{"sheet":"Example","index":2,"n_rows":31,"n_cols":11,"rows_kept":31,"cut":false,"hidden":true,"merged":[]}
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[]
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[null,"Original Problem:"]
[]
[null,"Maximize:",null,"z = 2x1 + x2 + 5x3 - 3x4"]
[]
[null,"subject to:",null,"x1 + 2x2 + 4x3 - x4 <= 6"]
[null,null,null,"2x1 + 3x2 - x3 + x4 <= 12"]
[null,null,null,"x1 + x3 + x4 <= 4"]
[null,null,null,"x1, x2, x3, x4 >= 0"]
[]
[]
[null,"Addition of Slack Variables and Transformation to Canonical Form:"]
[]
[null,"Maximize:",null,"z = 2x1 + x2 + 5x3 - 3x4 + 0x5 + 0x6 + 0x7"]
[]
[null,"subject to:",null,"x1 + 2x2 + 4x3 - x4 + x5 = 6"]
[null,null,null,"2x1 + 3x2 - x3 + x4 + x6 = 12"]
[null,null,null,"x1 + x3 + x4 + x7 = 4"]
[null,null,null,"x1, x2, x3, x4, x5, x6, x7 >= 0"]
[]
[]
[null,"Initial Tableau:"]
[]
[null,null,"z","x1","x2","x3","x4","x5","x6","x7","RHS"]
[null,"z",1,-2,-1,-5,3,0,0,0,0]
[null,"x5",0,1,2,4,-1,1,0,0,6]
[null,"x6",0,2,3,-1,1,0,1,0,12]
[null,"x7",0,1,0,1,1,0,0,1,4]

{"sheet":"Final Report","index":3,"n_rows":7,"n_cols":7,"rows_kept":7,"cut":false,"hidden":true,"merged":[]}
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[null,"Iteration Number","Entering Variable","Leaving Variable","Min Ratio","Reduced Cost","Objective Function Value"]
[null,0,null,null,null,null,0]
[null,1,0,1,0,-0.75,0]