Question: Blacktop Refining extracts minerals from ore mined at two different sites in Montana. Each ton of type 1 contains 20% copper, 20% zinc and 15%

Blacktop Refining extracts minerals from ore mined at two different sites in Montana. Each ton of type 1 contains 20% copper, 20% zinc and 15% magnesium. Each ton of ore type 2 contains 30% copper, 25% zinc and 15% magnesium. Ore type 1 costs $90 per ton and ore type 2 costs $120 per ton. Blacktop would like to buy enough ore to extract at least 8 tons of copper, 6 tons of zinc, and 5 tons of magnesium in the least costly manner. (a) Formulate the LP model for this problem (b) Sketch the feasible region for this problem. (c) Find the optimal solution using graphical approach. (d) Find the optimal solution using Excel.

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