What is the maximum value of the function subject to the constraints , , and ?
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DSE 2007 Question 49: Constrained optimisation and linear programming
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What is the maximum value of the function z=xy subject to the constraints x>0, y>0, and 2x+y=6? (A) 2.5 (B) 4 (C) 4.5 (D) 9
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.
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