plz solve this simplex problem manually

1. Consider the following linear programming problem. M M Max 5.x, + 6x2 + 4xz s.t. 3x, + 4x2 + 2xy = 120 x + 2x2 + x3 50 *; + 2x2 + 3x3 = 30 #1, #2, X, 20 The optimal simplex tableau is X2 $ S2 Basic 5 6 4 0 CB 0 0 S3 0 1 80 0-2 7 1 -1 3 4 0 X3 2 0 30 o WT-I-T 5 1 0 0 1 -2 0 20 5 8. 4 0 220 2 c-z; 1 2 -1 -2 0 - 2 0 0 t 7 C 3. Refer to the problem formulation and optimal simplex tableau given in a. Find the dual price for the first constraint. b. Find the dual price for the second constraint. c. Find the dual price for the third constraint. d. Suppose the right-hand side of the first constraint is increased from 120 to 125. Find the new optimal solution and its value. e. Suppose the right-hand side of the first constraint is decreased from 120 to 110. Find the new optimal solution and its value. Problem 1 1. Consider the following linear programming problem. M M Max 5.x, + 6x2 + 4xz s.t. 3x, + 4x2 + 2xy = 120 x + 2x2 + x3 50 *; + 2x2 + 3x3 = 30 #1, #2, X, 20 The optimal simplex tableau is X2 $ S2 Basic 5 6 4 0 CB 0 0 S3 0 1 80 0-2 7 1 -1 3 4 0 X3 2 0 30 o WT-I-T 5 1 0 0 1 -2 0 20 5 8. 4 0 220 2 c-z; 1 2 -1 -2 0 - 2 0 0 t 7 C 3. Refer to the problem formulation and optimal simplex tableau given in a. Find the dual price for the first constraint. b. Find the dual price for the second constraint. c. Find the dual price for the third constraint. d. Suppose the right-hand side of the first constraint is increased from 120 to 125. Find the new optimal solution and its value. e. Suppose the right-hand side of the first constraint is decreased from 120 to 110. Find the new optimal solution and its value. Problem 1