question_answer

On maximizing \[z=4x+9y\] subject to \[x+5y\le 200,\]  \[x+5y\le 200,\ \ 2x+3y\le 134\] and \[x,\ y\ge 0\], \[z=\]                

A)                 380        

B)                 382

C)                 384        

D)                 None of these

Correct Answer: B

Solution :

                Here, \[A=\left( 0,40 \right),B=(67,\,0)\]and \[C=(10,\,38)\] Maximum  for \[C\] i.e., z = 40 + 342 = 382.