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Questions › DSE › DSE 2021 › Q11
4 marks, −1Mathematics › Constrained optimisation and linear programming › Equality-constrained optimisation and Lagrange multipliersModerateabout 2 min

DSE 2021 Question 11: Constrained optimisation and linear programming

If x2+y2+z2=1x^2 + y^2 + z^2 = 1x2+y2+z2=1, then what is the maximum value of (−x+z)(-x + z)(−x+z)?

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If x² + y² + z² = 1, then what is the maximum value of (-x + z)? (A) 1 (B) √2 (C) √3 (D) It has no maximum

Also written as: If x^2 + y^2 + z^2 = 1, then what is the maximum value of (-x + z)?

Constrained optimisation and linear programming has come up 44 times in 7 exams since 2007.

What this question tests

This question is on Equality-constrained optimisation and Lagrange multipliers, part of Constrained optimisation and linear programming in Mathematics.

Optimising a function subject to equality constraints, and what the multiplier means.

TestStop has 14 past-paper questions on this subtopic.

Practise Constrained optimisation and linear programmingMore on Equality-constrained optimisation and Lagrange multipliers

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Question from the DSE 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.