Transportation summary

Key learning points

• Balance supply and demand (add a dummy if needed).
• A basic solution uses $m+n-1$ 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

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

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 $m+n-1$ occupied routes.

Working

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

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

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.