A chemical process design has extracted the following streams data.

$\backslash$table$[[$Stream type,$\backslash$table$[[$T supply$],[($C$)]],\backslash$table$[[$T target$],[($C$)]],\backslash$table$[[$Heat cafacity flow$],[$rate $($MW$/$C$)]]],[$Hot$,250,40,0\mathrm{.}15],[$Hot$,200,80,0\mathrm{.}25],[$Cold$,20,180,0\mathrm{.}2],[$Cold$,140,230,0\mathrm{.}3]]$

Determine the Pinch temperature and hot and cold utilities for the process using the Table Algorithm at $T_{ni}=10C.[10$ Marks$]$

Draw the GCC and evaluate the best utility cost, if the cost of high, medium and low steam pressures are: $20000,15000$ and $10000$$$M{W}^{-1}y{r}^{-1}$ respectively, and cost of cold water is $2000$$$M{W}^{-1}y{r}^{-1}.[7$ marks$]$

Illustrate how we determine the optimum value of $T_{mi}[4$ Marks$]$