9. Show without using the Simplex Method that x1 = (5)/(26), x2 = (5)/(2), x3 = (27)/(26) is an optimal solution to the following linear programming problem:Maximize z = 9x1 14x2 7x3subject to2x1 x2 3x3 ≤ 65x1 4x2 x3 ≤ 122x2 ≤ 5x1, x2, x3 unrestricted.(Hint: Formulate the dual of this problem and then find a feasible solution.)
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9. Show without using the Simplex Method that x1 = (5)/(26), x2 = (5)/(2), x3 = (27)/(26) is an optimal solution to the following linear programming problem:Maximize z = 9x1
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