question_answer

The solution of set of constraints \[x+2y\ge 11,\] \[3x+4y\le 30,\ \ 2x+5y\le 30,\ x\ge 0,\ \ y\ge 0\] includes the point  [MP PET 1993]

A)                 (2, 3)     

B)                 (3, 2)

C)                 (3, 4)     

D)                 (4, 3)

Correct Answer: C

Solution :

                                                Obviously, solution set of constraints includes the point (3, 4).