Question: Consider the following LP problem: a) Solve the above LP problem by using the appropriate algorithm. b) Exhibit the complete primal and dual solutions, and

Consider the following LP problem:

max Z=5x1+6x2 + 3x3 + 15x4 sub ect to 51 +3x2+4x3 +

a) Solve the above LP problem by using the appropriate algorithm.

b) Exhibit the complete primal and dual solutions, and the optimal value of the ob ective function.

c) Exhibit the primal optimal basis.

d) Write down the dual problem and identify the optimal dual basis.

max Z=5x1+6x2 + 3x3 + 15x4 sub ect to 51 +3x2+4x3 + 24 = 10 3x3 + 4x4 12 2x2 + 2x3 x; 0, j=1,..., 4. 8

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