Can you please solve this question correctly based on what is mentioned?

21. Blacktop Refining extracts minerals from ore mined at two different sites in Montana. Each ton of ore type 1 contains 20% copper, 20% zinc, and 15% magnesium. Each ton of ore type 2 contains 30% copper, 25% zinc, and 10% magnesium. Ore type 1 costs $90 per ton while 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 magne- sium in the least costly manner. a. Formulate an LP model for this problem. b. Sketch the feasible region for this problem. c. Find the optimal solution