Question: (a) Using the method of transformation technique, write the dual of the problem. (b) Write directly the dual of the original problem, without using the

(a) Using the method of transformation technique,

(a) Using the method of transformation technique, write the dual of the problem.

(b) Write directly the dual of the original problem, without using the method of transformation.

(a) Using the method of transformation technique,

Consider the following LP: Maximizez=3x12x2Subjecttox1+x216x1+4x224x22x1,x20 1. Consider the following LP: Maximizez=3x12x2Subjecttox1+x216x1+4x224x22x1,x20 (a) Convert the LP given above to the standard form. Determine all the basic feasible solutions (bfs) of the problem. Give the values of both basic and non-basic variables in each bfs. (b) Identify the adjacent basic feasible solutions of each extreme point of the feasible region. (c) Using the graphical solution technique, solve the problem. (d) Which constraint(s) is(are) active (binding) in the optimal solution? Which constraint(s) is(are) redundant? (e) Using the big-M simplex method, find optimal solution. (f) Using the method of transformation technique, write the dual of the problem. (g) Write directly the dual of the original problem, without using the method of transformation

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