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Topic summary · Decision maths (D2)

Transportation summary

Transportation problems ship supply to demand at minimum cost. Construct a basic feasible solution, then improve it.

Files: D2-Transportation.pdf · D2-Transportation answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Balance supply and demand (add a dummy if needed).
  • A basic solution uses m+n−1m+n-1 occupied routes.
  • Improve with stepping-stone / MODI until no negative improvement remains.
  • State routes and total cost.

Worked example 1 — Dummy

Supply 80, demand 70. What do you add?

Working

dummy demand 10 with zero costs\text{dummy demand 10 with zero costs}

Balances the transportation tableau.

Worked example 2 — Balance supply and demand (add a dummy if needed)

Use this method from the Transportation sheet: Balance supply and demand (add a dummy if needed).

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — A basic solution uses occupied routes

Use this method from the Transportation sheet: A basic solution uses m+n−1m+n-1 occupied routes.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Improve with stepping-stone / MODI until no negative

Use this method from the Transportation sheet: Improve with stepping-stone / MODI until no negative improvement remains.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — State routes and total cost

Use this method from the Transportation sheet: State routes and total cost.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Transportation summary — worksheet & answers PDF