14. A company has three cement plants from which cement has to be transported to four distributioncentres. With identical costs of production at the three plants, the only variable costs involved aretransportation costs. The monthly demand at the four distribution centres and the distance from theplants to the distribution centres (in km) are given below:Distribution centresPlantsMonthly productionWXY(tonnes)A5001,00015080010,000 dB20070050010012,000C6004001009008,000Monthlydemand (tonnes)9,0009,00010,0004,000The transportation charges are 7 10 per tonne per km. Suggest optimal transportation schedule andindicate 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.

Name: 14. A company has three cement plants from which cement has to be tra
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Description: 14. A company has three cement plants from which cement has to be transported to four distributioncentres. With identical costs of production at the three plants, the only variable costs involved aretransportation costs. The monthly demand at the fo

It can be seen from the table that the total monthly production in tonnes is 10000+12000+8000=30000.…

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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) 500 1,000 150 800 10,000 200 700 500 100 12,000 ek C 600 400 100 900 8,000 Monthly demand (tonnes) 9,000 9,000 10,000 4,000 The transportation charges are 7 10 per tonne per km. Suggest optimal transportation schedule and indicate the total minimum transportation cost.

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) 500 1,000 150 800 10,000 200 700 500 100 12,000 ek C 600 400 100 900 8,000 Monthly demand (tonnes) 9,000 9,000 10,000 4,000 The transportation charges are 7 10 per tonne per km. Suggest optimal transportation schedule and indicate the total minimum transportation cost.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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
X
Y
(tonnes)
A
500
1,000
150
800
10,000 d
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 7 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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