D2 June 2009 Q6

EdexcelOld spec12 marksTransportation Problems

6. The table below shows the cost, in pounds, of transporting one unit of stock from each of three supply points, X, Y and Z to three demand points, A, B and C. It also shows the stock held at each supply point and the stock required at each demand point.

ABCSupply
X178722
Y16121517
Z610915
Demand161523
(a) This is a balanced problem. Explain what this means. (1)
(b) Use the north west corner method to obtain a possible solution. (1)
(c) Taking ZA as the entering cell, use the stepping-stone method to find an improved solution.
Make your route clear and state your exiting cell. (3)
(d) Perform one more iteration of the stepping-stone method to find a further improved solution. You must make your shadow costs, improvement indices, entering cell, exiting cell and route clear. (6)
(e) State the cost of the solution you found in part (d). (1)
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