
Contemporary Mathematics For Business & Consumers, Loose-leaf Version
8th Edition
ISBN: 9781305867185
Author: Robert Brechner, Geroge Bergeman
Publisher: South-Western College Pub
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Question
Chapter 16.III, Problem 5RE
To determine
To calculate: The target average inventory when the inventory turnover is less than published rate, average inventory and inventory turnover and round off to nearest tenth when the total cost of goods sold is $258,400 and beginning and ending inventory are $76,300 and $43,500 respectively and the published rate is 5.2 times.
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a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1
x2 x3
81 82
83
84
81
-2 0
1 1 0
0
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3
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3 0
-2 0
1
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1
-3
0
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84
-3 0
2
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0 -1
1
4
-2 -2 0
11
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0-4
0
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Chapter 16 Solutions
Contemporary Mathematics For Business & Consumers, Loose-leaf Version
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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