Design a heat exchanger network for MER with at most 15 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 \(140^{\circ} \mathrm{C}\) with \(Q_{\text {Hmin }}=760 \mathrm{~kW}\) and \(Q_{C \min }=960 \mathrm{~kW}\).

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Stream T (C) T' (C) C (kW/C) HI 140 50 10 H2 320 20 H3 370 20 CI 50 130 9980 10 C2 130 430 8 C3 100 300 6 C4 30 230 5 88 C5 30 130 4 C6 30 430 1