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QUESTION 7 The incomplete final simplex tableau for the given problem is shown in following table. с 15 20 14 0 0 0 Quantity Solution X: X2 X3 S1 S2 S3 Mix S: -2.6 0 1 -0.733 -0.067 52 20 X2 1 0 0.167 -0.167 5 X3 0.4 0 -0.067 0.267 32 zi 25.6 14 2.4 C-zi 0 0 -2.4 -0.4 -OO 5 O Na lolololc X1= number of Product 1 produced, X2= number of Product 2 produced, number of Product 3 produced, S1, S2, S. are the slack variable for Resource 1, Resource2 and Resource 3 respectively. a) Complete the above table. (3 marks) b) Determine the optimal production, including total profit. (2 marks) C) State the resources that are fully utilized. (2 marks) d) What is the maximum amount the company is will to spend for an additional unit of Resource 2? (1 mark) e) Identify whether alternate optimal solution exist in this problem. Explain. (2 marks) End of Question Paper