Question: Consider the primal linear program and its initial and optimal tableaux: Max.S.t.7x1+3x2+5x32x1+4x2+1x3105x12x2+8x39x1,x2,x30 (a) Perturb the objective function coefficient c2=3 by adding h and write the

Consider the primal linear program and its

Consider the primal linear program and its initial and optimal tableaux: Max.S.t.7x1+3x2+5x32x1+4x2+1x3105x12x2+8x39x1,x2,x30 (a) Perturb the objective function coefficient c2=3 by adding h and write the initial tableau for this perturbed LP. (b) Determine the range of values of h for which the optimal solution (x1,x2)=(2.333,1.333) remains optimal. (c) When c2=3 is perturbed to c2=11 by h=8 (which is outside the range in which the optimal solution does not change), adjust the unperturbed optimal tableau to give a tableau from which the Simplex Algorithm may start in order to obtain an optimal solution to the perturbed linear program

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