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 325 tons of regular-grade and 540 tons of low-grade ore per week. The first mine produces 5 tons of regular-grade and 18 tons of low-grade ore per hour. The second mine produces 20 tons of regular- grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $21,000 per hour, and the operating cost of the second mine is $9000 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 34 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) Second mine: hour(s) First mine:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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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 325 tons of regular-grade and 540 tons of low-grade ore per week. The first
mine produces 5 tons of regular-grade and 18 tons of low-grade ore per hour. The second mine produces 20 tons of regular-
grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $21,000 per hour, and the operating cost
of the second mine is $9000 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 34 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)
Second mine: hour(s)
First mine:
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 325 tons of regular-grade and 540 tons of low-grade ore per week. The first mine produces 5 tons of regular-grade and 18 tons of low-grade ore per hour. The second mine produces 20 tons of regular- grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $21,000 per hour, and the operating cost of the second mine is $9000 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 34 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) Second mine: hour(s) First mine:
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