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Questions › JNU › JNU SSS 2015 › Q52
2 marks, −0.5Mathematics › Constrained optimisation and linear programming › Equality-constrained optimisation and Lagrange multipliersModerateabout 2 min

JNU SSS 2015 Question 52: Constrained optimisation and linear programming

Consider the following optimization problems :

  1. Maximize f(x, y)f(x,\ y)f(x, y) subject to x−2y=1x - 2y = 1x−2y=1 and 3x+2y=113x + 2y = 113x+2y=11
  2. Minimize f(x, y)f(x,\ y)f(x, y) subject to x−2y=1x - 2y = 1x−2y=1 and 3x+2y=113x + 2y = 113x+2y=11 Which of the following is true?

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Consider the following optimization problems: 1. Maximize f(x, y) subject to x - 2y = 1 and 3x + 2y = 11 2. Minimize f(x, y) subject to x - 2y = 1 and 3x + 2y = 11 Which of the following is true? (A) The two problems have the same solution (B) The solutions to the two problems are different (C) Neither of the problems has a solution (D) Nothing can be said about the solutions to the problems unless the objective function is completely specified

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 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.