Question

A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 380 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 17 tons of low-grade ore per hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $19,000 per hour, and the operating cost of the second mine is $15,200 per hour. The first mine can be operated no more than 40 hours a week, and the second mine can be operated no more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?

Answer 1