A Heat Integration Problem

A plant has two process hot stream and $\{$:$H_2)$ and two process cold streams and $\{$:$C_2).$ Heating and cooling utilities $(HU$ and $\{$:$CU)$ are available

for service. A minimum driving force of $10$@ F is required for any heat exchange duty. Table $3$ provides the data for the process.

Table $3.$ Stream Data for the Hot and Cold Streams of the HEN Problem

Using heat integration, what are the targets for minimum heating and cooling utilities? Please feel free to use any approach you prefer $($graphical$,$

algebraic, or optimization$-$based formulation$).$