Maximise Z $=5$x $+8$y

$$Subject to:

$$x $+$ y $<=6$

$5$x $+9$y $<=45$

x$,$ y $>=0$

$($i$)$Show Optimum solution in full

$($ii$)$ Ranges for the Objective Co$-$efficients

$($iii$)$ Shadow Prices

$($iv$)$ Right hand side ranges