Expert Answer :Hammertown Steel (HS) is planning raw materials re

Solved by verified expert :Hammertown Steel (HS) is planning raw materials requirements for a 40 metric ton (1 MT = 1,000 kg) order for steel it has received from a customer. HS can source ores from a number of suppliers and wants to ensure it minimizes its raw materials costs, while meeting the order’s exacting product specifications.All ores contain a mixture of various metals and waste. The following table summarizes the ores offered by various suppliers and the cost per metric ton (MT) of each:Metal 1Metal 2Metal 3WasteCost/MT120%11%33%36%$36.00Supplier234%15%18%33%$38.00322%19%28%31%$48.0049%14%23%54%$25.00517%10%24%49%$45.00Refining eliminates all waste from the ore and the waste is sold to a gravel contractor for a net realizable value of $0. The contract for the steel has the following requirements:1. The steel must contain at least 25% of metal 12. The steel must contain no more than 40% of metal 23. The steel may contain no less than 50% and no more than 70% of metal 3.Write the linear program that will help the decision maker minimize the cost of raw materials needed to meet the requirements of this order.