Consider the following LP Maxim Sa+ +3 - 30% +4+3 3.3 The 444440 (Salve the problem by inspection (do not use the Gas-Jordan row operations), and jily the answer in terms of the basic solutions of the simplex method a) Repeat (a) aming that the objective function calls for minimizing Solve de following problem by inspection, and justify the method of solution in terms of the basic solutions of the simples method subject to Maxim-5-6, +3y-5x+12 +3 +3 +6, +3,50 4444440 (His A basic solution consists of one variable only) The following tableau repetasia a specific simplex beration. All variables are nonnega tive. The tableas is not optimal for either a maximization or a minimization problems Thus when a noobatic variable eaters the solution it can either increase or decrease or leave it unchanged, depending on the parameters of the entering noobasic variable. Basic 4 " " Te " " Solon B -3 4 - -13 0 0 20 " 0 3 -2 - -1 1 12 " 1 3 1 3 -1 . B 6 -4 (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 noobasic vari ables 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 associ ated change in z. Do not use the Gauss-Jordan row operations. (c) Repeat part (b) assuming that the problem is of the minimization type. (d) Which nonbasic variable(s) will not cause a change in the value of z when selected to enter the solution? 182 Opter) The Simps Method am