Question

Determine graphically the minimum value of the following objective function : z = 500x + 400y subject to constraints x + y ≤ 200, x ≥ 20, y ≥ 4x, y ≥ 0.

Solve the following linear programming problem graphically : Minimise : z = -3x + 4y subject to the constraints x + 2y ≤ 8, 3x + 2y ≤ 12, x, y ≥ 0.

The corner points of the bounded feasible region of an LPP are O(0, 0), A(250, 0), B(200, 50) and C(0, 175). If the maximum value of the objective function Z = 2ax + by occurs at the points A(250, 0) and B(200, 50), then the relation between a and b is :

Solve the following linear programming problem graphically : Maximize z = 600x + 400y subject to the constraints : x + 2y ≤ 12, 2x + y ≤ 12, x + 1·25y ≥ 5, x, y ≥ 0