Fue simplex tableaus where the objective in each case is to be minimized are given. Answer the following questions. Find the tableau which is nonoptimal, nodegenerate with bounded solution. Find the pivot element which would improve the objective and show it on the tableau. b. Find the tableau which is nonoptimal, degenerate with bounded solution. Find an appropriate pivot element and show it on the tableau. Would the objective improve with th this pivot? c. Find the tableau with unique nondegenerate optimum solution d. Find the tableau with alternative optimum solutions. What are the values of the basic variables? Find a pivot element which would lead to another optimal basic solution and show it on the tableau e. Find the tableau with the objective unbounded. Find a variable which when going to infinity would make the objective arbitrarily low. Tableau 2 RHS 1 0 0 0 0 -12 45 0 0 0 O O 1 3 1 2 O 2 1 8 0 3 0 -4 3 S 0 -4 4 0 Min x + x2 - 4x Subject to X: +a+2x, 59 X: + x2 - S2 - X: + X: + x 54 XL, X2 X3 20 The optimal tableau for this problem is given 4 2 1 0 0 0 RHS -17 1/3 0 1 0 0 0 0 0 1/3 0 0 0 1 0 -2/3 X 2 2/3 13/3 a. Suppose that ca 1 is replaced by-5. What happens to tableau? Is it still optimal? X, is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that --4 is replaced by 0. What happens to tableau? Is it still optimal? X, is a basic variable. What happens if we change the coefficient of a basic variable? 6. Suppose that the right hand side which is is replaced by What is the new values of variables? 9 d. Suppose that a, te changed from ( - ) What is new in the tableau and what is the reduced cost of now? e. Suppose a new activity, having ,-2 and as introduced. What happens to tableau? Is Activa Gotas it still optimal? --0 Fue simplex tableaus where the objective in each case is to be minimized are given. Answer the following questions. Find the tableau which is nonoptimal, nodegenerate with bounded solution. Find the pivot element which would improve the objective and show it on the tableau. b. Find the tableau which is nonoptimal, degenerate with bounded solution. Find an appropriate pivot element and show it on the tableau. Would the objective improve with th this pivot? c. Find the tableau with unique nondegenerate optimum solution d. Find the tableau with alternative optimum solutions. What are the values of the basic variables? Find a pivot element which would lead to another optimal basic solution and show it on the tableau e. Find the tableau with the objective unbounded. Find a variable which when going to infinity would make the objective arbitrarily low. Tableau 2 RHS 1 0 0 0 0 -12 45 0 0 0 O O 1 3 1 2 O 2 1 8 0 3 0 -4 3 S 0 -4 4 0 Min x + x2 - 4x Subject to X: +a+2x, 59 X: + x2 - S2 - X: + X: + x 54 XL, X2 X3 20 The optimal tableau for this problem is given 4 2 1 0 0 0 RHS -17 1/3 0 1 0 0 0 0 0 1/3 0 0 0 1 0 -2/3 X 2 2/3 13/3 a. Suppose that ca 1 is replaced by-5. What happens to tableau? Is it still optimal? X, is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that --4 is replaced by 0. What happens to tableau? Is it still optimal? X, is a basic variable. What happens if we change the coefficient of a basic variable? 6. Suppose that the right hand side which is is replaced by What is the new values of variables? 9 d. Suppose that a, te changed from ( - ) What is new in the tableau and what is the reduced cost of now? e. Suppose a new activity, having ,-2 and as introduced. What happens to tableau? Is Activa Gotas it still optimal? --0