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1. State the problem in verbal terms, i.e., Objective, Constraints and Decision Variables.

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 a b Tons per Week 20,000 38,000 16,000 The demand at the steel mills is as follows: Steel Mill Tons per Week A 10,000 B 18,000 C 22,000 D 24,000 The transportation cost is $0.5 per Ton per Mile. The distance between the ports and the steel mills is as given below: Port Steel Mills a A 50 80 90 B 60 40 70 D 50 50 50 100 70 30 b Design a distribution plan that will minimize the distribution cost for the steel company. State the cost of this distribution plan