Abstract
According to the fundamental property of LP, it suffices to evaluate each linear function on the four vertices, and conclude on the maximum and the infimum. It is, by no means, necessary to have a full description of the feasible set, though it is not difficult (a bit tedious though) to do so.
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Pedregal, P. (2017). Hints and Solutions to Exercises. In: Optimization and Approximation. UNITEXT(), vol 108. Springer, Cham. https://doi.org/10.1007/978-3-319-64843-9_9
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DOI: https://doi.org/10.1007/978-3-319-64843-9_9
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