Question

Minimize and maximize $Z=x+2y$ subject to constraints are $x+2y\ge 100,2x-y\ge 0,2x+y\le 200$ and $x,y\ge 0$.

Answer 1

$Z=x+2y,4$ constrats are,
$x+2y\ge 100$
$2n-y\le 0$
$2x+y\le 2$
$x,y,\ge 0$
we have of draw the 3 linear
so,at point (0,200)z\rightarrow man
$frompoint$(0,\frac { 1 }{ 2 } $to$(\frac { 1 }{ 5 } ,\frac { 2 }{ 5 } )$ z is min.