question_answer

Which of the following is not a vertex of the positive region bounded by the inequalities \[2x+3y\le 6,5x+3y\le 15\] and \[x,y\ge 0\]

A) (0, 2)

B) (0, 0)

C) (3, 0)

D) All of these  

Correct Answer: D

Solution :

[d] Here (0, 2), (0, 0) and (3, 0) all are vertices of feasible region. Hence option [d] is correct.