Production Schedule A company owns two mines. Mine A produces 1 ton of high-grade ore, 3

Chapter 5, Problem 30

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Production Schedule A company owns two mines. Mine A produces 1 ton of high-grade ore, 3 tons of medium-grade ore, and 5 tons of low-grade ore each day. Mine B produces 2 tons of each grade of ore per day. The company needs at least 80 tons of high-grade ore, at least 160 tons of medium-grade ore, and at least 200 tons of low-grade ore. How many days should each mine be operated to minimize costs if it costs $2000 per day to operate each mine? (a) Formulate a linear programming problem that models the problem. Be sure to identify all variables used. (b) Solve the linear programming problem. (c) Analyze the solution.

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