please select true or false and explain

Please select Twe or False If false, explain why. (provide counter examples) a) If an LP has more than one sduhen then it must have infornite # of Solution b) If feasible set on LP is non empty, then LP is either inbounded or has solution c) If feasible set of LP is inbounded, then LP has no Optimal solution d) If LP has optimal solution, then feasible sex is bounded e) If LP doesn't have optimal solution and ferible set is non empty, then feasible set is unbounded f) The path between two vertices in a minorum spanning always shortest paon between the vertries in is full graph Please select Twe or False If false, explain why. (provide counter examples) a) If an LP has more than one sduhen then it must have infornite # of Solution b) If feasible set on LP is non empty, then LP is either inbounded or has solution c) If feasible set of LP is inbounded, then LP has no Optimal solution d) If LP has optimal solution, then feasible sex is bounded e) If LP doesn't have optimal solution and ferible set is non empty, then feasible set is unbounded f) The path between two vertices in a minorum spanning always shortest paon between the vertries in is full graph