Use the method of this section to solve the linear programming problem.

Minimize

C

$=$

$$x

$+$

$2$

y

subject to

$4$

x

$+$

$7$

y

$<$

$=$

$5$

$2$

$2$

x

$+$

$$ y

$=$

$2$

$2$

x

$>$

$=$

$0$

$,$

$$y

$>$

$=$

$0$