Consider the following LP model:

max z $=3$x $+7$x$+5$x$,$

$2$x

x$+$ x$+$ x$3=50+3$x$+$ x$3<=100$ X$2$ X$320$

X$1$

The optimal solution of for the problem is$!$ x $0,$ x$.-25,$ x $25,$ Sp $$20.$ Using complementary slackness theorem, calculate the shadow prices of the constraints. $(25$ points$)$