Question

Solve $3x+2y\le 12,x+2y\le 16,x+y\le 10,x\ge 0,y\ge 0.$

Answer 1

Given:$3x+2y\le 12$

$x+2y\le 16$

$x\ge 0$

$y\ge 0$

Solution i) $3x+2y=12$

$x$	0	6
$y$	4	0
Points	A(0,4)	B(6,0)

ii)$x+2y=16$

$x$	0	16
$y$	8	0
Points	C(0,8)	D(16,0)

iii)$x+y=10$

$x$	0	0
$y$	10	0
Points	E(0,10)	F(10,0)

The feasible region is AOB since it is common to the three equation graphyically with the points .

$A(0,4),0(0,0)andB(6,0)$.