The corner points of the feasible region determined by the following system of linear inequalities 2x + y≤10, x +3y≤15, x, y ≥0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let z= px + qy where p and q > 0.
The condition on p and q so that the maximum of z. occurs at both (3, 4) and (0, 5) is:

Which of the following sets is not convex?

The number of Basic variables in any solution of Transportation problem with m-origins and n-destinations is

In a LLP degeneracy arises at

For the objective function z = px + qy, where p, q > 0 the corner points of the feasible region determined by the system of linear constraints are - (0, 10), (5, 5), (15, 15) and (0, 20), condition on p and q so that maximum of z occurs at both the points (15, 15) and (0, 20) is: