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 $19,000 per hour, and the operating cost of the second mine is $13,300 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 38 hours a week. How many hours per week should each mine be operated to minimize the cost? Note that the ALEKS graphing calculator can be used to make computations easier. First mine: O hour(s) Second mine: hour(s)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 $19,000 per hour, and the
operating cost of the second mine is $13,300 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 38 hours a week. How many hours per week should each mine be operated to minimize the cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
| hour(s)
First mine:
Second mine: hour(s)
Transcribed Image Text: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 $19,000 per hour, and the operating cost of the second mine is $13,300 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 38 hours a week. How many hours per week should each mine be operated to minimize the cost? Note that the ALEKS graphing calculator can be used to make computations easier. | hour(s) First mine: Second mine: hour(s)
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