A company has 4 plants: Plant 1, Plant 2, Plant 3, and Plant 4. All the plants make the same product The company sells the product in 4different cities: City 1, City 2, City 3, City 4. Maximum production (in thousands of units) that is possible at the 4 plants are given respectivelyby (Plant 1 to Plant 4): 5, 25, 10, and 15. Your forecast shows that the demand for the product (in thousands of units) in each of the cities isgiven by (City 1 to City 4): 15, 7, 9, 10. Your firm does not want to have any backorders or lost demand. The production & transportation costfor getting a product from any given plant to any given city if given blow:Plant 1Plant 2Plant 3Plant 4Production and Transportation Cost per1000 units (Thousand $)City 1 City 2107012601825780800City 3140016851540 107024251355 843City 4153011005001045You need to decide which plant will serve which city and how much. Find the optimal way to serve the demands in all the cities. What is theoptimal cost?

Transportation is a special case of Assignment Linear programming problem. Cost is minimized in…

Answered: A company has 4 plants: Plant 1, Plant…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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