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Questions › JNU › JNU SSS 2018 › Q48
5 marksMathematics › Constrained optimisation and linear programming › Equality-constrained optimisation and Lagrange multipliersHardabout 10 min

JNU SSS 2018 Question 48: Constrained optimisation and linear programming

Consider the following optimization problem :

Maximize f(x,y)=x2−y2f(x, y) = x^2 - y^2f(x,y)=x2−y2 subject to g(x,y)=1−x−y=0g(x, y) = 1 - x - y = 0g(x,y)=1−x−y=0

Find solution to this problem (if any).

Answer and worked solution

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Plain-text version

Consider the following optimization problem: Maximize f(x, y) = x² - y² subject to g(x, y) = 1 - x - y = 0 Find solution to this problem (if any).

Also written as: Consider the following optimization problem: Maximize f(x, y) = x^2 - y^2 subject to g(x, y) = 1 - x - y = 0 Find solution to this problem (if any).

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 JNU SSS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.