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please answwe the whole question in full a value is 6 b value is 2 b 2 2. Given a linear programming problem below Maximize 2 = 5x + 8x2 + (a+b+ 2)23 + 434 +685, subject to 2x1 + ax2 + 3x3 + bx4 +235 5 106 ax: + 5x2 + 4x3 +224 + 25x5 S 10a and 1:20, i = 1, 2, 3, 4, 5. (1) Apply simplex method in tableau form to find its optimal solution. (2) With the information of basic variables obtained in each iteration in part(1). identify the corresponding B, CB and apply the simplex method in matrix form to re-obtain the sequence of BF solutions in each iteration and their corre- sponding objective function values (No need to do optimality test here, since we haven't finished sec5.2 yet).