題組內容

2. (10 points) Reconsider the lincar programming problem in Question I.
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It turns out that the right-hand side of the fourth constraint is 3 instead of 2. In addition, somehow the maximum number of equations the computer is able to handle is three so let us consider this problem as follows:
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where 0≤ x2 ≤ 3 can be viewed as the explicit bound on the individual variable.

(a) (5points) Only X3, x4,x5 are introduced as the slack variables for the first, second, and third constraints. What is the criteria of the value of x2 if x2 is a nonbasic variable?