6.2.2 (A) Using slack variables, determine the initial system for the linear programming problem.(B) Write the simplex tableau and identify the first pivot and the entering and exiting variables.(C) Use the simplex method to solve the problem.P= 32x, + 28x24x1 +x2 s 16X1 + 5x2 s 16X1, x, 20Maximizesubject to...(A) Using slack variables, determine the initial system for the linear programming problem. Use s, for the first constraint and s, for the second constraint.4x1 +x2 +s1 = 16First constraintX1 + 5x, + s2 = 16Second constraint- 32x, - 28x, + P = 0Objective functionX1, X2, S1, S2 2(B) Write the simplex tableau by filling in the blanks below.X1X2S1S2S14116S2116- 32- 281The pivot element is located in the x, column and s, row.The entering variable is x,. The exiting variable is s,.(C) Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.OA.The maximum value is P = 2081 when x, =16and x, =(Type integers or simplified fractions.)O B. There is no optimal solution.

Answered: Image /qna-images/answer/c1d48ed8-104b-4a34-b1af-c05a112efcd9.jpg

P= 32x, + 28x2 (A) Using slack variables, determine the initial system for the linear programming problem. (B) Write the simplex tableau and identify the first pivot and the entering and exiting variables. (C) Use the simplex method to solve the problem. Maximize subject to 4x, +x2 s 16 X1 + 5x2 s 16 X1, X, 20 (A) Using slack variables, determine the initial system for the linear programming problem. Use s, for the first constraint and s, for the second constraint. 4x, + X2 + 8, = 16 First constraint X1 + 5x2 + 82 = 16 Second constraint - 32x, - 28x, + P = 0 Objective function X1. X2, 81. 2 2 (B) Write the simplex tableau by filling in the blanks below. S2 P 4 1 16 1 5 16 PL - 32 - 28 1 The pivot element is located in the x, column and s, row. The entering variable is x, The exiting variable is s (C) Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value is P= 2081 when x, 16 and x2 (Type integers or simplified fractions.)