You are given the tableau shown below for a minimization problem. Give conditions on the unknowns c1, c2, a1, a2, a3, d1, d2, b and k that make the following statements true: a) (5pts.)Thecurrentsolutionisoptimal(thereisnoalternativesolution). b) (5pts.)Thecurrentsolutionoptimal,andtherearealternativeoptimalsolutions. c) (10 pts.) The current solution is a bfs, z value can be improved by making x3 as a basic variable instead of x6. z x1 x2 x3 x4 x5 x6 RHS 1 0 -1 c1 0 c2 0 4 0 1 k a1 0 d1 0 8 0 0 2 a2 1 d2 0 b 0 0 -2 a3 0 3 1 2