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A steel company plans to purchase at least 200 quintals of scrap metal. The company decides that the scrap metal to be purchased must

 

A steel company plans to purchase at least 200 quintals of scrap metal. The company decides that the scrap metal to be purchased must contain at least 100 quintals of a valuable metal M1 and no more than 35 quintals of a base metal M2. The company can purchase the scrap metal from two suppliers in unlimited quantities with the following percentages, by weight of M1 and M2. Metal M1 M2 Supplier A 25% 10% Supplier B 75% 20% The price per quintal of A's scrap metal is Rs. 2 and B's scrap metal is Rs. 4. The company wants to determine the quantities that it should buy from the two suppliers so that the cost is held to be minimum. Formulate the LP problem.

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