À 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 10,000 200 700 500 100 12,000 C 600 400 100 900 8,000 Monthly demand (tonnes) 9,000 9,000 10,000 4,000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
icon
Related questions
icon
Concept explainers
Topic Video
Question
14. A company has three cement plants from which cement has to be transported to four distribution
iduv 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
12,000
B
200
700
500
100
moite
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.
Specially Structured Linear Programmes I: Transportation and Transhipment Problems • 295
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 iduv 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 12,000 B 200 700 500 100 moite 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. Specially Structured Linear Programmes I: Transportation and Transhipment Problems • 295 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.
Expert Solution
steps

Step by step

Solved in 5 steps with 8 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,