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 p at least 180 tons of regular-grade and 400 tons of low-grade ore per week. The first mine produces 2 tons of regular-grade and 8 tons of low-grade ore hour. The second mine produces 9 tons of regular-grade and 5 tons of low-grade ore per hour. The first mine can be operated no more than 60 hours a v and the second no more than 40 hours a week. Let x be the number of hours the first mine is operated. Let y be the number of hours the second mine is operated. Shade the region corresponding to all values of x and y that satisfy these requirements. Ts 100- -80- 60- 40- -20- 20 40 60 80 100 P X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 41E
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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 180 tons of regular-grade and 400 tons of low-grade ore per week. The first mine produces 2 tons of regular-grade and 8 tons of low-grade ore per
hour. The second mine produces 9 tons of regular-grade and 5 tons of low-grade ore per hour. The first mine can be operated no more than 60 hours a week,
and the second no more than 40 hours a week. Let x be the number of hours the first mine is operated. Let y be the number of hours the second mine is
operated. Shade the region corresponding to all values of x and y that satisfy these requirements.
-20
100-
80-
·60-
40-
20-
20
40
60
80
100
X
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 180 tons of regular-grade and 400 tons of low-grade ore per week. The first mine produces 2 tons of regular-grade and 8 tons of low-grade ore per hour. The second mine produces 9 tons of regular-grade and 5 tons of low-grade ore per hour. The first mine can be operated no more than 60 hours a week, and the second no more than 40 hours a week. Let x be the number of hours the first mine is operated. Let y be the number of hours the second mine is operated. Shade the region corresponding to all values of x and y that satisfy these requirements. -20 100- 80- ·60- 40- 20- 20 40 60 80 100 X
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