Constrained Optimisation (AQA A-Level Further Maths): Quizzes

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Constrained Optimisation
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What does the mnemonic 'DeCO' represent in linear programming formulation?

Decision variables, Constraints, Objective

In LP, what is the objective function?

The quantity to be optimized

Why are non-negativity constraints typically included in LP problems?

Negative quantities usually make no sense

What is the feasible region in LP?

Points satisfying all constraints

Where does the optimal solution occur in LP? (Remember: 'Vertex Victory')

At a vertex of the feasible region

For maximization, which way does the objective line move?

Away from origin

How should constraint lines be drawn for ≤\leq or ≥\geq inequalities?

Solid (continuous)

In the graphical method, what does 'shade out' mean?

Shade regions NOT satisfying constraints

When integer solutions are required, what should you do?

Test integer points near optimal vertex

What does the objective line represent?

Points with same objective value

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