Please explain solution step by step by please to verify if its correct. Assume that the table below represents the final simplex tableau for an LP model defined in terms of non-negative decision variables 21, T2 and T3, with the objective function E that must be maximised and three functional constraints. The slack or surplus variables $1, $2 and s3, and the artificial variables an and az were added, with $1, $2, $3, a1, a2 2 0. Z T2 T3 $1 al rhs BV P2 3 -3 2 0 P3 12 2 0 1 P1 4 3 M M - 3 6 2 In the above final simplex tableau, M represents any big number. Give conditions on parameters Pi, p2 and pa for which the problem has the following (a) A unique optimal solution (3) (b) Multiple optimal solutions (3) (c) An unbounded solution (3) (d) No solution. (3) Solution (a) a unique optimal solution: p, > 0, Vp2 E R and p3 = 0. (b) multiple optimal solutions: p1 = 0, p2 > 0 and p3 = 0. (c) an unbounded solution: p1 0, Vp2 ( R and p3 > 0