Solve the following linear programming model graphically:
Maximize Z = 3 x1 + 2 x2Subject to:
2 x1 + 4 x2 ≤ 22-x1 + 4 x2 ≤ 104 x1 – 2 x2 ≤ 14×1 – 3 x2 ≤ 1×1, x2 ≥ 0
(a) Solve the Linear programming model graphically, gives all the corner points along with the values of Z and identify which one is optimal. Give reasons.
(b) Find the value of the slack and surplus variables at the optimal solution only
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