Mathematics - Mathematical Induction Question with Solution | TestHub

Given, constraints are$2x+3y\le 18,2x+y\le 10,x\ge 0,y\ge 0$.

The feasible region is $OABCO$.

Also, $z=9x+13y$

At $O(0,0),z=0$

At $A(5,0),z=45$

At $B(3,4),z=27+52=79$

At $C(0,6),z=78$

$\therefore$ Maximum value of $z$ is $79$.