Question: 5) VARIABLES ENTERING & LEAVING THE BASIS (5 MARKS) Given the following simplex tableau Basis S: 0 0 24 2 10 25/2 15 1/8 3

5) VARIABLES ENTERING & LEAVING THE BASIS (5 MARKS) Given the following simplex tableau Basis S: 0 0 24 2 10 25/2 15 1/8 3 7 5 4 8 0 0 5 X S 0 1 0 0 0 0 24 0 0 1 24 0 SO 0 3/2 0 1/8 3 -3 0 1 0 0 0 RHS 1000 6000 150 3600 a) Which variable will enter the basis? Why? (1,5 mark) b) Which variable will leave the basis? Why? (15 marks) What will be the value of the variable entering the basis in a) in the next tableau? (1 mark) d) What will be the value of the objective function in the next tableau? (1 mark)

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