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apa format for unpublished dissertations - The Attainable Region Method The Attainable Regionis defined as the set of all possible products that can be obtained in a steady-state reactor system with given feed. There are two reasons that we must find all the possible products: If our objective function is complicated we do not know where the optimum will occur. AN ATTAINABLE REGION APPROACH TO OPTIMIZING PRODUCT SIZE DISTRIBUTION FOR FLOTATION PURPOSES Ngonidzashe Chimwani A thesis submitted to the Faculty of Engineering and the Built Environment, University of the Witwatersrand, Johannesburg, in fulfilment of the requirements for the degree of Doctor of Philosophy in EngineeringCited by: 1. The Attainable Region (AR) The AR is the collection of all possible outputs for all possible reactor configurations—even the ones we cannot imagine. Every point in or on the AR is an output of a reactor combination. Different parts of the . essay how to write a introduction own business plan

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