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=5x+6x2 +33 +154 sub ect to 5x1 +3x2+4x3 + x4 =

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

max Z=5x+6x2 +33 +154 sub ect to 5x1 +3x2+4x3 + x4 = 10 3x3 + 4x4 12 2x2+2x3 x; 0, j=1,...,4. 8

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