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This research work was focused on optimizing heat exchanger network problems from literature involving multiple utilities with the objective function of minimizing the Total Annual Costs of the designed networks. This was achieved through the use of pinch methodology on Aspen Pinch software, Version 11.1. Supertargeting was used to obtain the minimum temperature difference for two case studies and the networks were designed on Grid Diagrams. The design of the networks was focused on the energycapital costs tradeoffs, preventing the use of extra heat exchanger units to reduce energy costs at the expense of capital costs. This paid off as the networks designed in this research obtained the lowest total annual costs (TACs) when compared with the results obtained by other researchers on the case studies under review. Contribution/Originality:This study contributes to the existing literature on problems involving multiple utilities and is able to achieve lower total annual costs through the optimization of the utilities usage using the combined traditional pinch technique and mathematical provisions as available in ASPEN pinch. in a heat exchanger ( ), energy, cost and other targets are also calculated for the process. The actual heat