Optimisation and Resource Allocation

Ages 16–18

Difficulty adapts to you

Optimisation and Resource Allocation

Optimisation means maximising or minimising an objective subject to constraints. Translate the situation into variables, an objective function, and inequalities. Check boundary points and explain why the chosen solution is feasible.

Your goals

  • ✓You can choose the best feasible outcome when resources, time, money, or materials are limited.
  • ✓You can use Optimisation and Resource Allocation, model correctly.
  • ✓You can use the definitions, units, assumptions, and examples to check your answer.

Words to know

Optimisation and Resource Allocation:
Choose the best feasible outcome when resources, time, money, or materials are limited.
model:
A rule or representation used to describe a situation and make a prediction.

Examples

  • 1A business may maximise profit subject to hours of labour and kilograms of material.
  • 2A transport plan can minimise cost while meeting capacity and delivery constraints.

Check these

  • • Do not skip the meaning of a term or give a result without explaining what it means.
  • • Keep every number, symbol, label, and unit in its correct place.
  • • Show enough working to check how you reached your answer.

Helpful habits

  • • Read the whole question before choosing what to do.
  • • Show one clear step at a time and check each step.
  • • If you are stuck, draw a model, try smaller numbers, or revisit the example.

Now try your own

Create your own optimisation and resource allocation example, solve it, and explain how you checked it.

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