Question: Consider the following LP problem: a) Solve the above LP problem. b) Exhibit the complete primal and dual solutions, the optimal value of the ob

Consider the following LP problem:

max TR = 5x1+6x2 + 3x3 + 4x4 sub ect to 5x13x2+4x3

a) Solve the above LP problem.

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

c) Exhibit the inverse of the optimal primal basis.

d) Recompute the basic portion of the optimal production plan.

e) Recompute the opportunity cost of all the six activities. Explain your work.

max TR = 5x1+6x2 + 3x3 + 4x4 sub ect to 5x13x2+4x3 + x4 10 3x3 + 4x4 12 2x2+2x3 4 ; 0, j=1,...,4.

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