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Problem 2 (6 Points): Consider the following canonical simplex table: X2 16 X 1 1 -2 -1 0 1 X3 0 0 1 0 24

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Problem 2 (6 Points): Consider the following canonical simplex table: X2 16 X 1 1 -2 -1 0 1 X3 0 0 1 0 24 1 0 0 0 25 2 0 2 -4 Xo -1 2 3 6 12 -6 -12 Relative costs 4 0 i) (2 Points) What are the current basic variables and what is the current basic feasible solution? ii) (4 Points) Determine all possible entries that can be pivoted on to move to the next table. Which one will lead to the largest decrease in cost when pivoted on? Carefully justify your choice. Problem 2 (6 Points): Consider the following canonical simplex table: X2 16 X 1 1 -2 -1 0 1 X3 0 0 1 0 24 1 0 0 0 25 2 0 2 -4 Xo -1 2 3 6 12 -6 -12 Relative costs 4 0 i) (2 Points) What are the current basic variables and what is the current basic feasible solution? ii) (4 Points) Determine all possible entries that can be pivoted on to move to the next table. Which one will lead to the largest decrease in cost when pivoted on? Carefully justify your choice

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