Question: 3. Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method: Basic x1 x2 $1 e2 a2 Solution a3 0

3. Consider the following tableau for a

3. Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method: Basic x1 x2 $1 e2 a2 Solution a3 0 3 - M 0 M-3 3-4M 0 60+10M 0 5/4 81 1 /4 -/4 0 7 1 1 x1 0 -1 0 0 20 0 a3 2 0 1 -1 1 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. (CO3, C1) (b) Is this tableau optimal? Explain your answer. (CO3, C2) (c) Suppose that the LP models a maximisation problem. i. Obtain the entering variable. Explain your answer. (CO3, C3) ii. Obtain the leaving variable. Explain your answer. (CO3, C3) iii. Based on your answer in (ii), explicitly identify the type of solution for the LP. (CO3, C4)

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