Question

The objective function Z = ax + by of an LPP has maximum value 42 at (4, 6) and minimum value 19 at (3, 2). Which of the following is true?

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 :