Question: III. (25%) Consider the LP problem Maximize Z = 15X + 11 y, subject to 15X-6Y2-60, X+3 Y>-21. 3X+2Y24. Xunrestricted, Y20 a) (15%) Assume that

III. (25%) Consider the LP problem Maximize Z = 15X + 11 y, subject to 15X-6Y2-60, X+3 Y>-21. 3X+2Y24. Xunrestricted, Y20 a) (15%) Assume that you will solve this problem using the Dual-Simplex Method. Setup an initial table corresponding to a basic solution and perform one iteration Basis Z RHS Basis Z RHS b) (10%) Write the dual of the given problem. Does the dual problem have an optimal solution? Explain your

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