Review set

Finding the direction of improvement

The questions give you an objective and ask which way the contour travels, including minimisations and negative coefficients. Drawing the family returns easily; keeping the direction right when the problem is a minimisation, and settling a doubtful direction by the sign of a dot product, is what needs practice.

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2 questions, chosen for youHints availableNo time limit

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What this covers

  • Locate the direction of improvement for a linear objective

    Given a linear objective and a direction of optimisation, the learner can draw or describe the contour family, identify the coefficient vector as the direction of increase, decide whether a proposed direction improves the objective, and state which way a contour must be pushed.

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