question_answer

The maximum value of \[10x+5y\] under the constraints \[3x+y\le 15,\ x+2y\le 8,\] \[x,\ y\ge 0\] is 

A)                 20          

B)                 50

C)                 53          

D)                 70

Correct Answer: C

Solution :

                Max\[z=10x+5y\] is at \[\left( \frac{22}{5},\frac{9}{5} \right)\] i.e. 53.