Suppose you have to maximize Z = 2x + 5y. The constraints are: 1.x + 4y ≤ 24, 3x + y ≤ 21 2.x + y ≤ 9 where, x ≥ 0 and y ≥ 0. Solve this problem using the graphical method by following the steps. (a)Write all inequality constraints in the form of equations. (3 Marks) (b)Plot these lines on a graph by identifying test points. (6 Marks) (c)Identify the feasible region (6 Marks) (d)Determine the coordinates of the corner points. (2½ Marks) (e)Maximize the objective function by substituting each corner point in the objective function. (2 Marks)
