The following tableau represents a specific simplex iteration. All variables are nonnegative. The tableau is not optimal for either maximization or minimization. Thus, when a nonbasic variable enters the solution, it can either increase or decrease z or leave it unchanged. depending on the parameters of the entering nonbasic variable. Basic X1 X2 X4 .25 16 .27 Xg Solution 0 5 0 4 - 10 0 0 620 Xg 0 3 0 -1 5 1 12 X3 0 1 1 3 1 o 3 0 6 41 1 1 0 0 6 -4 0 0 0 (a) Categorize the variables as basic and nonbasic, and provide the current values of all the variables. (b) Assuming that the problem is of the maximization type.identify the nonbasic variables that have the potential to improve the value of z. If each such variable enters the basic solution determine the associated leaving variable, if any, and the associated change in z. Do not use the Gauss-Jordan row operations. (d) Which nonbasic variable(s) will not cause a change in the value of a when selected to enter the solution