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In the first-quadrant solution of \(x+2y\le 8\), \(2x+y\le 8\), where will the maximum value of (x+y) occur?

Answer and explanation

Correct answer: \(\left(\frac{8}{3},\frac{8}{3}\right)\)

The intersection is \(\left(\frac{8}{3},\frac{8}{3}\right)\), where \(x+y=\frac{16}{3}\) is maximum. A linear expression attains its extreme value at a vertex.

Related tags

Linear InequalitiesMaximumVerticesGraphical OptimizationGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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