Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4 + 2x5 < 11 6x2 + 4x3 + 7x4 + s.t. r5 < 14 X1, 12, 13, 14, 15 20. (a) Solve the problem by the simplex method (b) Formulate the dual LP and give the optimal solution of the dual LP (c) How much should the objective coefficient of x5 increase, to make r5 enter the basis?

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