Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 16, Problem 5CR
To determine
To fill: The blank spaces provided in the statement, “An inventory valuation method that assumes the items purchased by a company first are the first items to be sold is known as the _______ method. Its abbreviation is _______”.
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The set of all 3 x 3 upper triangular matrices
6) Determine whether each of the following sets, together with the standard
operations, is a vector space. If it is, then simply write 'Vector space'. You do not
have to prove all ten vector space axioms. If it is not, then identify one of the ten
vector space axioms with its number in the attached sheet that fails and also show
that how it fails.
a) The set of all polynomials of degree four or less.
b) The set of all 2 x 2 singular matrices.
c) The set {(x, y) : x ≥ 0, y is a real number}.
d) C[0,1], the set of all continuous functions defined on the interval [0,1].
7) Given u = (-2,1,1) and v = (4,2,0) are two vectors in R³-space. Find u xv and
show that it is orthogonal to both u and v.
8) a) Find the equation of the least squares regression line for the data points
below.
(-2,0), (0,2), (2,2)
b) Graph the points and the line that you found from a) on the same Cartesian
coordinate plane.
1. A consumer group claims that the mean annual consumption of cheddar cheese by a person in
the United States is at most 10.3 pounds. A random sample of 100 people in the United States has
a mean annual cheddar cheese consumption of 9.9 pounds. Assume the population standard
deviation is 2.1 pounds. At a = 0.05, can you reject the claim? (Adapted from U.S. Department of
Agriculture)
State the hypotheses:
Calculate the test statistic:
Calculate the P-value:
Conclusion (reject or fail to reject Ho):
2. The CEO of a manufacturing facility claims that the mean workday of the company's assembly
line employees is less than 8.5 hours. A random sample of 25 of the company's assembly line
employees has a mean workday of 8.2 hours. Assume the population standard deviation is 0.5
hour and the population is normally distributed. At a = 0.01, test the CEO's claim.
State the hypotheses:
Calculate the test statistic:
Calculate the P-value:
Conclusion (reject or fail to reject Ho):
Statistics
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Chapter 16 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 16.I - You are the merchandise manager at Best Buy. The...Ch. 16.I - Prob. 2TIECh. 16.I - Prob. 3TIECh. 16.I - Prob. 4TIECh. 16.I - Prob. 1RECh. 16.I - Prob. 2RECh. 16.I - 3. Calculate the total number of units available...Ch. 16.I - When the merchandise manager of Advance Auto Parts...Ch. 16.I - Prob. 5RECh. 16.I - The following data represent the inventory figures...
Ch. 16.I - 7. Determine the value of the following inventory...Ch. 16.I - 8. Determine the value of the following inventory...Ch. 16.I - Prob. 9RECh. 16.I - BUSINESS DECISION: IN OR OUT? You are the...Ch. 16.II - Using the retail method, estimate the value of the...Ch. 16.II - Prob. 6TIECh. 16.II - Using the retail method, estimate the value of the...Ch. 16.II - 2. Using the retail method, estimate the value of...Ch. 16.II - Prob. 3RECh. 16.II - Prob. 4RECh. 16.II - Omni Fitness Equipment, Inc., maintains a gross...Ch. 16.II - 6. Hirst Electrical Supplies maintains a gross...Ch. 16.II - Prob. 7RECh. 16.II - 8. You are the warehouse manager for Discovery...Ch. 16.II - BUSINESS DECISION: OVER OR UNDER?
9. You own...Ch. 16.III - Exotic Gardens had net sales of $260,700 for the...Ch. 16.III - Prob. 8TIECh. 16.III - Prob. 9TIECh. 16.III - Prob. 1RECh. 16.III - Prob. 2RECh. 16.III - Assuming that all net sales figures are at retail...Ch. 16.III - Prob. 4RECh. 16.III - Prob. 5RECh. 16.III - Prob. 6RECh. 16.III - Prob. 7RECh. 16.III - Prob. 8RECh. 16.III - Prob. 9RECh. 16.III - A Circle K convenience store had net sales of...Ch. 16.III - Prob. 11RECh. 16.III - Prob. 12RECh. 16.III - Prob. 13RECh. 16.III - Prob. 14RECh. 16.III - Prob. 15RECh. 16 - 1. Goods that a company has in its possession at...Ch. 16 - Prob. 2CRCh. 16 - Prob. 3CRCh. 16 - Prob. 4CRCh. 16 - Prob. 5CRCh. 16 - Prob. 6CRCh. 16 - Prob. 7CRCh. 16 - Prob. 8CRCh. 16 - Prob. 9CRCh. 16 - Prob. 10CRCh. 16 - Prob. 11CRCh. 16 - Prob. 12CRCh. 16 - 13. The ideal amount of inventory a company should...Ch. 16 - 14. When the target average inventory is...Ch. 16 - 1. Calculate the total number of Maytag Neptune...Ch. 16 - When the buyer for Southern Distributors (Exercise...Ch. 16 - Prob. 3ATCh. 16 - Prob. 4ATCh. 16 - Prob. 5ATCh. 16 - 6. Using the retail method, estimate the value of...Ch. 16 - Prob. 7ATCh. 16 - Prob. 8ATCh. 16 - Prob. 9ATCh. 16 - Assuming that all net sales figures are at retail...Ch. 16 - Prob. 11ATCh. 16 - A Foot Locker store had net sales of $435,900 for...Ch. 16 - 13. The Fabric Mart had cost of goods sold of...
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