Question: PLEASE RESOLVE IT USING SET NOTATION At Midwest Steel, steel is produced by combining various alloys and scrap pieces of steel in high-temperature furnaces. For

PLEASE RESOLVE IT USING SET NOTATION

At Midwest Steel, steel is produced by combining various alloys and scrap pieces of steel in high-temperature furnaces. For a 100-ton piece of steel, three different alloys and two different types of scrap material are to be used. Each alloy and scrap piece have different properties and chemical makeups. The various characteristics of each alloy and scrap are given below, as well as their availability and cost per ton. The customer wants this produced steel to meet the following chemical requirements: the carbon composition must be between 2% and 3%, the nickel composition cannot exceed 4%, the chromium composition must be between 1.3% and 2.7%, and its tensile strength must be between 50,000 and 80,000 psi. Assuming that tensile strength of the produced steel is a weighted average of the tensile strength of each alloy and scrap piece, determine how Midwest can produce this 100 -ton piece of steel at minimum cost

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