Linear Programming Mock Tests

The linear programming problem has the objective function Z = 5x + 3y subject to x + 2y ≤ 20, x + y ≤ 15, x ≥ 0, y ≥ 0. The maximum value of Z occurs at:

Maximize Z = 5x + 3y subject to x + y <= 5, x >= 0, y >= 0. Max Z is at:

Maximize Z = 3x + 4y subject to x + y ≤ 8, 2x + y ≤ 12, x ≥ 0, y ≥ 0. The maximum value of Z is:

In a linear programming problem, the feasible region is bounded by x ≥ 0, y ≥ 0, x + y ≤ 4, and 2x + y ≤ 6. The maximum value of Z = 3x + 2y is:

A linear programming problem has the objective function Z = 4x + 5y subject to 2x + y ≤ 10, x + 3y ≤ 15, x ≥ 0, y ≥ 0. The maximum value of Z is:

A manufacturing company makes two products, A and B. Each product requires processing time on two machines. Product A needs 2 hours on machine 1 and 1 hour on machine 2. Product B needs 1 hour on machine 1 and 2 hours on machine 2. Machine 1 has 8 hours available and machine 2 has 7 hours available. If the profit per unit is Rs 2 for A and Rs 3 for B, what is the maximum profit?

Maximize Z = 3x + 4y subject to x + y ≤ 4, x ≥ 0, y ≥ 0. The maximum value of Z is:

Maximise Z = 3x + 5y subject to x + 2y ≤ 12, x + y ≤ 7, x ≥ 0, y ≥ 0. The maximum value of Z is