Question: 2- The following linear programming problem maximizes the profit in a manufacturing setup. Suppose that the first and second constraints show the labor and material

2- The following linear programming problem maximizes the profit in a manufacturing setup. Suppose that the first and second constraints show the labor and material constraint, respectively: max z = 4x, + 3x, + 5x, s.t. *; + 2xy + 3x, 59 2x, +3x, +X, 512 2,42,4, 20 Optimal table: X3 1/5 2/5 -1/5 3/5 RHS 6/5 27/5 -1/5 18/5 6/5 1) Fill the blank cells in the table using Simplex Matrix Math. 2) Find the range of values for the first constraint right-hand side within which the current solution will remain feasible. 3) Find the range of change for the coefficient of x2 so that the current table remains optimal. 4) What happen if the constraint X1+X3>= 8 is added to the problem? If the solution change, find the new optimal solution to the

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