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)
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: 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
Problem 11P
Related questions
Question
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)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University