Design a heat exchanger network for MER with at most 18 heat exchangers (including utility heaters) and \(\Delta T_{\text {min }}=10^{\circ} \mathrm{C}\) for the following streams:

When MER targets are satisfied, the hot pinch temperature is \(200^{\circ} \mathrm{C}\), with \(Q_{H \min }=1,170 \mathrm{~kW}\) and \(Q_{C \min }=1,170 \mathrm{~kW}\).

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Stream T (C) T' (C) C (kW/C) HI 400 20 H2 200 50 BHQ H3 350 230 H4 400 100 8558 10 15 CI 80 450 7 C2 20 320 10 C3 50 450 5 C4 50 350 4 C5 100 500 1