Finite Mathematics and Calculus with Applications
1st Edition
ISBN: 9781323188361
Author: Margaret Lial
Publisher: Pearson Education
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Chapter 3, Problem 36RE
(a)
To determine
The maximum value of the objective function.
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Don't do 14. Please solve 19
Please solve 14 and 15
1. Consider the following system of equations:
x13x2 + 4x3 - 5x4 = 7
-2x13x2 + x3 - 6x4 = 7
x16x213x3 - 21x4 = 28
a) Solve the system. Write your solution in parametric and vector form.
b) What is a geometric description of the solution.
7
c) Is v =
7 in the span of the set S=
[28.
1
HE
3
-5
3
·6
? If it is, write v
6
as a linear combination of the vectors in S. Justify.
d) How many solutions are there to the associated homogeneous system for
the system above? Justify.
e) Let A be the coefficient matrix from the system above. Find the set of all
solutions to Ax = 0.
f) Is there a solution to Ax=b for all b in R³? Justify.
Chapter 3 Solutions
Finite Mathematics and Calculus with Applications
Ch. 3.1 - Graph 3x + 2y 18.Ch. 3.1 - Graph the feasible region for the system...Ch. 3.1 - Prob. 1WECh. 3.1 - y=12x+1Ch. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4E
Ch. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - The regions A through G in the figure can be...Ch. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 47ECh. 3.2 - Prob. 1YTCh. 3.2 - Prob. 1WECh. 3.2 - Prob. 2WECh. 3.2 - Prob. 3WECh. 3.2 - Prob. 4WECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.3 - Prob. 1YTCh. 3.3 - Prob. 2YTCh. 3.3 - Prob. 3YTCh. 3.3 - Prob. 1WECh. 3.3 - Prob. 2WECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Finance A pension fund manager decides to invest a...Ch. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Blending The Mostpure Milk Company gets milk from...Ch. 3.3 - Profit The Muro Manufacturing Company makes two...Ch. 3.3 - Revenue A machine shop manufactures two types of...Ch. 3.3 - Revenue The manufacturing process requires that...Ch. 3.3 - Transportation A flash drive manufacturer has 370...Ch. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Life Sciences 21. Health Care David Willis takes...Ch. 3.3 - Predator Food Requirements A certain predator...Ch. 3.3 - Nutrition A dietician is planning a snack package...Ch. 3.3 - Health Care Jennifer Morales was given the...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 4RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 6RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 8RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 10RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 12RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 14RECh. 3 - Graph each linear inequality. 15. y 2x + 3Ch. 3 - Prob. 16RECh. 3 - Graph each linear inequality. 17. 2x + 6y 8Ch. 3 - Prob. 18RECh. 3 - Graph each linear inequality. 19. y xCh. 3 - Prob. 20RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 22RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 24RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 26RECh. 3 - Use the given regions to find the maximum and...Ch. 3 - Prob. 28RECh. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 30RECh. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - It is not necessary to check all corner points in...Ch. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Profit Refer to Exercise 37. (a) How many batches...Ch. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Construction A contractor builds boathouses in two...Ch. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - General Interest 46. Studying Ty Olden is trying...
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