The corner points of the feasible region determined by a set of constraints (linear inequalities) are P(0, 5), Q(3, 5), R(5, 0) and S(4, 1) and the objective function is Z = ax + 2by where a, b > 0. The condition on a and b such that the maximum Z occurs at Q and S is
A. a – 5b = 0
B. a – 3b = 0
C. a – 2b = 0
D. a – 8b = 0
Answer:D
The corner points of the feasible region determined by a set of constraints (linear inequalities) are P(0, 5), Q(3, 5), R(5, 0) and S(4, 1) and the objective function is Z = ax + 2by where a, b > 0. The condition on a and b such that the maximum Z occurs at Q and S is
A. a – 5b = 0 B. a – 3b = 0 C. a – 2b = 0 D. a – 8b = 0