14. A company has three cement plants from which cement has to be transported to four distribution centres. With identical costs of production at the three plants, the only variable costs involved are transportation costs. The monthly demand at the four distribution centres and the distance from the plants to the distribution centres (in km) are given below: Distribution centres Plants Monthly production W Y (tonnes) A 500 1,000 150 800 10,000 B 200 700 500 100 12,000 C 600 400 100 900 8,000 Monthly demand (tonnes) 9,000 9,000 10,000 4,000 The transportation charges are ? 10 per tonne per km. Suggest optimal transportation schedule and indicate the total minimum transportation cost. If, for certain reasons, route from plant C to distribution centre X is closed down, will the transp- ortation schedule change? If so, suggest the new schedule and effect on total cost.

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
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Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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14. A company has three cement plants from which cement has to be transported to four distribution
centres. With identical costs of production at the three plants, the only variable costs involved are
transportation costs. The monthly demand at the four distribution centres and the distance from the
plants to the distribution centres (in km) are given below:
Distribution centres
Plants
Monthly production
W
Y
(tonnes)
A
500
1,000
150
800
10,000
B
200
700
500
100
12,000
600
400
100
900
8,000
Monthly
demand (tonnes)
9,000
9,000
10,000
4,000
The transportation charges are ? 10 per tonne per km. Suggest optimal transportation schedule and
indicate the total minimum transportation cost.
If, for certain reasons, route from plant C to distribution centre X is closed down, will the transp-
ortation schedule change? If so, suggest the new schedule and effect on total cost.
Transcribed Image Text:14. A company has three cement plants from which cement has to be transported to four distribution centres. With identical costs of production at the three plants, the only variable costs involved are transportation costs. The monthly demand at the four distribution centres and the distance from the plants to the distribution centres (in km) are given below: Distribution centres Plants Monthly production W Y (tonnes) A 500 1,000 150 800 10,000 B 200 700 500 100 12,000 600 400 100 900 8,000 Monthly demand (tonnes) 9,000 9,000 10,000 4,000 The transportation charges are ? 10 per tonne per km. Suggest optimal transportation schedule and indicate the total minimum transportation cost. If, for certain reasons, route from plant C to distribution centre X is closed down, will the transp- ortation schedule change? If so, suggest the new schedule and effect on total cost.
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