Solve the following graphically showing all work. Show shaded graph and list corner points. Find all corner points using algebra. Write the LP problem that you are trying to solve. In the end answer the question with a sentence.

A Company operates two mines, each of which produces three grades of ore. The West Summit mine can produce 2 tons of low-grade ore, 3 tons of medium-grade ore, and 1 ton of high-grade ore per hour of operation. The Northridge mine can produce 2 tons of low-grade ore, 1 ton of medium-grade and 2 tons of high-grade ore per hour of operation. To satisfy shipping orders, the company needs at least 100 tons of low-grade ore, 60 tons of medium-grade ore, and 80 tons of high-grade ore. If it costs $400 per hour to operate the West Summit mine and $600 per hour to operate the Northridge mine, how many hours should each mine be operated to satisfy shipping orders and minimize cost? What is the minimum cost?

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