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course - management science

Question 2 (10 Marks) As an alternative to solution in Question 1 above, you are required to helps the business analyst to solve his problem using QM for Windows. As mentioned above, the LP model is as follows: Maximize 5S+7T subject to: 3S-2T 345 75 + 3T 5 33 OTO Iterations untitled) Solution C Basic Variables 5 X1 Quantity 7 X2 0 slack 1 0 slack 2 Iteration 1 0 0 slack 1 slack 2 zi Cj-21 45 33 0 3 7 0 5 -2 3 0 7 1 0 0 0 1 1 0 0 0 Iteration 2 0 7 0 67 11 slack 1 X2 zi Cj-Z1 7.6667 2.3333 16.33 -11.3333 1 7 1 0 0 0 0.6667 0.3333 2.33 -2.3333 77 0 i. Based on the table of Iteration 1 above, show the manual calculation to get a value for Zj (2 marks) ii. Based on the table of Iteration 2 above, what is the entering and leaving variable? (2 marks) ili. Based on the table above, show the manual steps to get the value of (7.6667 (2 marks) iv. Based on the table of Iteration 2 above, do you think that this table is an optimal table? Explain your answer (2 marks) V. Based on the table above, what is the optimal solution for this problem? Explain your answer (2 marks)