2) Suppose the coefficient of x, in the first constraint will be changed (currently, it is 2). What is the range of the coefficient such that the current optimal basis can be kept? [Hint for part 2):...

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2) Suppose the coefficient of x, in the first constraint will be changed (currently, it is 2). What is the<br>range of the coefficient such that the current optimal basis can be kept?<br>[Hint for part 2): run the simplex method including the change of the coefficient, and apply the<br>optimality condition(s).]<br>

Extracted text: 2) Suppose the coefficient of x, in the first constraint will be changed (currently, it is 2). What is the range of the coefficient such that the current optimal basis can be kept? [Hint for part 2): run the simplex method including the change of the coefficient, and apply the optimality condition(s).]

Problem 3. Consider the following LP.<br>max<br>3x1 + x2<br>X1,X2,X3,X4<br>s.t.<br>2x1 + x2 + x3 = 6<br>-x1 + x2 + x4 = 3<br>X1, X2, X3, X4 2 0<br>

Extracted text: Problem 3. Consider the following LP. max 3x1 + x2 X1,X2,X3,X4 s.t. 2x1 + x2 + x3 = 6 -x1 + x2 + x4 = 3 X1, X2, X3, X4 2 0

Jun 05, 2022

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2) Suppose the coefficient of x, in the first constraint will be changed (currently, it is 2). What is the range of the coefficient such that the current optimal basis can be kept? [Hint for part 2):...

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