Student Solutions Manual for Gallian's Contemporary Abstract Algebra, 9th
9th Edition
ISBN: 9781305657977
Author: Gallian, Joseph
Publisher: Brooks Cole
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Chapter 13, Problem 18E
To determine
To prove : Only idempotent elements in an
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6) A farmer has 60 acres on which to plant oats or corn. Each acre of oats requires 100 lbs of fertilizer and 1 hour
of labor. Each acre of corn requires 50 lbs of fertilizer and 2 hours of labor. The farmer has 5000 lbs of
fertilizer and 100 hours available for labor. If the profit is $60 from each acre of oats and $100 from each acre
of corn, what planting combination will produce the greatest total profit?
a) Fill in the following chart to help organize the information given in the problem:
Oats
Labor
Fertilizer
Land
Profit
b) Write down the question of interest.
Corn
Available
c) Define variables to answer the question of interest. Call these x and y.
d) Write the objective function to answer the question of interest.
e) List any constraints given in the problem.
I need help with number 5.
3) Use the following system of linear inequalities graphed below to answer the questions.
a) Use the graph to write the symbolic form of the system
of linear inequalities.
b) Is (-4,2) a solution to the system? Explain.
5
-7
-5
-3
-2
0
2
3
4
$
6
-2
-6
-7
Chapter 13 Solutions
Student Solutions Manual for Gallian's Contemporary Abstract Algebra, 9th
Ch. 13 - Prob. 1ECh. 13 - Show that a commutative ring with the cancellation...Ch. 13 - Show that every nonzero element of Zn is a unit or...Ch. 13 - Find a nonzero element in a ring that is neither a...Ch. 13 - Let R be a finite commutative ring with unity....Ch. 13 - Find elements a, b, and c in the ring ZZZ such...Ch. 13 - Describe all zero-divisors and units of ZQZ .Ch. 13 - Let a belong to a ring R with unity and suppose...Ch. 13 - Show that 0 is the only nilpotent element in an...Ch. 13 - Prob. 18E
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