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underground mathematics Feasible region In an optimisation problem, there are typically a number of constraints on the variables. For example, a problem might be to ο¬nd the maximum possible value of 2π₯ + 3π¦ subject to the constraints π₯β₯0 π¦β₯0 π₯ + π¦ β€ 10 π¦ β₯ π₯ β 2. The feasible region for a problem such as this is the set of all possible values of the variables which satisfy the constraints. Any solution to the problem must lie within this set. For the above example, the constraints are shown in this graph with the excluded regions shaded; the feasible region then remains as the unshaded region. Page 1 of 1 Copyright © University of Cambridge, all rights reserved. https://undergroundmathematics.org/glossary/feasible-region Last updated 13-Feb-16