2. |Total 30pts.| Consider the following LP for minimization whose simplex dictionary with respect to B=[A2,A2,A3] (that is, x1,x2 and x3 are the basic variables.) is the table below, where the parameters , B,,, and are real numbers. Calculate the range of values of each of the parameters which will make the conclusions in the following statements true. 2.a [5 pts.] B is not an optimal feasible basis for this LP. 2.b [5 pts.] B is primal feasible but not dual feasible for this LP. 2.e [10 pts.] B is a primal feasible but non-optimal basis for this LP. and, when x4 is made the entry variable, the LP is shown to be unbounded; that is, it has no finite optimum. 2.d 110 pts.) B is a primal feasible but non-optimal basis for this. LP, and, when xs is made the entry variable, x2 becomes the unique exit variable. 2. |Total 30pts.| Consider the following LP for minimization whose simplex dictionary with respect to B=[A2,A2,A3] (that is, x1,x2 and x3 are the basic variables.) is the table below, where the parameters , B,,, and are real numbers. Calculate the range of values of each of the parameters which will make the conclusions in the following statements true. 2.a [5 pts.] B is not an optimal feasible basis for this LP. 2.b [5 pts.] B is primal feasible but not dual feasible for this LP. 2.e [10 pts.] B is a primal feasible but non-optimal basis for this LP. and, when x4 is made the entry variable, the LP is shown to be unbounded; that is, it has no finite optimum. 2.d 110 pts.) B is a primal feasible but non-optimal basis for this. LP, and, when xs is made the entry variable, x2 becomes the unique exit variable