question_answer 1)

The corner points of the feasible region determined by the following system of linear inequalities : 2x + y 10, x + 3y x, y are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy where p, q > 0. Conditions on P and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is (A) p =q (B) p = 2q (C) p = 3q (D) q = 3p  

Answer:

The corner points of the feasible region determined by the following system of linear inequalities :       2x + y  10, x + 3y  x, y  are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy where p, q > 0. Conditions on P and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is       (A) p =q                  (B) p = 2q       (C) p = 3q               (D) q = 3p