please answer the below

\f21 A furniture manufacturer produces 3 different lines: A, Band C. The following table summarizes the information nequaid for the preparation of a quantitative model that maximizes the not profits of the manufacturer. Product type Raw Materials Availability A B C plastic 800 3 5 wood 600 metal 300 4 2 Production Cost 4 AU Selling Price Expected Demand 200 200 200 In addition, the daily production budget in 20, 000 Bundy, and daily production must be more than 400 units. Formulate the linear programming mathematical model. Q2: Find the optimal solution to the following linear programming problem using the graphical method : Minimize z = 4X, + 2 Xz st : X1 - X2 200 X 1 1 2 ZO Q3: Construct the initial plus one Simplex tableaux for the following linear programming problem : Maximize 2 = 4%, + 2X2 st : 2x1 + X2 5 400 X 1 300 X2 5 500 Q4: Construct, the initial simplex tableau for the linear programming problem given in Q2 . Good Luck