A chemical process involves five streams that need to be heated or cooled. Consider a minimum temperature approach of $10F$ and assume that no phase change occurs. All necessary information is provided in the following table:

$\backslash$table$[[$Stream$,$T$\_($source $)($F$),$T$\_($target $)($F$),$F$($lb$/$h$),$C$\_($p$)($BTU$/$lb$/$F$)],[1,150,100,18000,0\mathrm{.}7],[2,180,140,30000,0\mathrm{.}5],[3,200,120,12000,1\mathrm{.}1],[4,140,160,55000,1\mathrm{.}1],[5,80,150,20000,0\mathrm{.}6]]$

$($a$)$ Construct and plot the hot and cold composite curves.

$(4$ points$)$

$($b$)$ What are the required heating and cooling utilities in BTU$/$h$?$

$(6$ points$)$