Question: Question # 1: (25 marks) Consider the following LP model: Maximize Z = 5x + 2X2 + 3X3 Subject to: X1 +5X2 + 2X3 S

Question # 1: (25 marks) Consider the following LP model: Maximize Z = 5x + 2X2 + 3X3 Subject to: X1 +5X2 + 2X3 S 10 (Resource 1) X1 - 5X2-6X3 S 30 (Resource 2) X1, X2, X3 20 Assuming that the basic variables and the inverse matrix at a given iteration are as follows: (X, s.) (-1 O a) Write the dual. (5 marks) b) Complete the full tableau showing your calculations(18 Marks) c) Is the solution optimal? Explain (2 marks) d) Identify the status of the resources. Explain

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