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 420 tons of regular-grade and 540 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 18 tons of low-grade ore per hour. The second mine produces 18 tons of regular-grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $20,000 per hour, and the operating cost of the second mine is $9500 per hour. The first mine can be operated no more than 37 hours a week, and the second mine can be operated no more than 28 hours a week. How many hours per week should each mine be operated to minimize the cost? First mine: __hours Second mine:__hours
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 420 tons of regular-grade and 540 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 18 tons of low-grade ore per hour. The second mine produces 18 tons of regular-grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $20,000 per hour, and the operating cost of the second mine is $9500 per hour. The first mine can be operated no more than 37 hours a week, and the second mine can be operated no more than 28 hours a week. How many hours per week should each mine be operated to minimize the cost? First mine: __hours Second mine:__hours
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 420 tons of regular-grade and 540 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 18 tons of low-grade ore per hour. The second mine produces 18 tons of regular-grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $20,000 per hour, and the operating cost of the second mine is $9500 per hour. The first mine can be operated no more than 37 hours a week, and the second mine can be operated no more than 28 hours a week. How many hours per week should each mine be operated to minimize the cost?
First mine: __hours
Second mine:__hours
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