A steel company is concerned with the problem of distributing imported ore from three ports to…

A steel company is concerned with the problem of distributing imported ore from three ports to four steel mills. The supplies of ore arriving at the ports are:Port ATons per week 20,0001
B CThe demand at the steel mills is as follows:Steel mills PQRS38,000 16,000Tons per week 14,000 18,000 20,000 24,000The transportation cost is LKR 6 per ton per km. The distances (in km) between the ports and the steel mills are as given below:Steel MillsPorts P Q R SA 50 60 100 50 B 80 40 70 60 C 90 70 30 40Develop a transportation plan that will minimize the distribution cost for the steel company. State the cost of this distribution plan.

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