question_answer

The maximum value of \[(x+2y)\] under the constraints \[2x+3y\le 6,\ x+4y\le 4,\ \ x,\ y\ge 0\] is

A)                 3             

B)                 3.2

C)                 2             

D)                 4

Correct Answer: B

Solution :

                Max\[(x+2y)\] is at \[\left( \frac{12}{5},\frac{2}{5} \right)\]i.e. 3.2.