FINITE MATHEMATICS >PRINT UPGRADE<
12th Edition
ISBN: 9780357308615
Author: Tan
Publisher: CENGAGE L
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Question
Chapter 4.CRE, Problem 17CRE
To determine
To find:
The solution to the maximization problem.
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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.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
Chapter 4 Solutions
FINITE MATHEMATICS >PRINT UPGRADE<
Ch. 4.1 - Give the three characteristics of a standard...Ch. 4.1 - a. When the initial simplex tableau is set up, how...Ch. 4.1 - In the simplex method, how is a pivoted column...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - Prob. 6ECh. 4.1 - In Exercises 7-16, determine whether the given...
Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 20ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - PRODUCTION SCHEDULING A company manufactures two...Ch. 4.1 - Production Scheduling National Business Machines...Ch. 4.1 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 4.1 - ASSETALLOCATION Justin has decided to invest at...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - PRODUCTION SCHEDULING A division of the Winston...Ch. 4.1 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.1 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.1 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 4.1 - PRODUCTION SCHEDULING Ace Novelty manufactures...Ch. 4.1 - OPTIMIZING ADVERTISING EXPOSURE As part of a...Ch. 4.1 - PRODUCTION SCHEDULING Custom Office Furniture is...Ch. 4.1 - OPTIMIZING PROFIT FOR PREFABRICATED HOUSING Boise...Ch. 4.1 - ASSET ALLOCATION Sharon has a total of 200,000 to...Ch. 4.1 - OPTIMIZING PROFIT FOR BLENDED JUICE DRINKS...Ch. 4.1 - OPTIMIZING PROFIT FOR COLD FORMULAS Beyer...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - Consider the linear programming problem Maximize...Ch. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.1 - Prob. 2TECh. 4.1 - Prob. 3TECh. 4.1 - Prob. 4TECh. 4.2 - Suppose you are given the linear programming...Ch. 4.2 - Prob. 2CQCh. 4.2 - Prob. 3CQCh. 4.2 - Prob. 4CQCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - In Exercise 16, use the technique developed in...Ch. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - Prob. 13ECh. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 4.2 - FERTILIZER COSTSA farmer uses two types of...Ch. 4.2 - DIET PLANNING The owner of the Health Juice Bar...Ch. 4.2 - OPTIMIZING ADVERTISING EXPOSURE Everest Deluxe...Ch. 4.2 - MINIMIZING SHIPPING Cons Acrosonic manufactures a...Ch. 4.2 - MINIMIZING SHIPPING COSTS Singer Motor Corporation...Ch. 4.2 - MINIMIZING OIL REFINERY COSTS An oil company...Ch. 4.2 - Prob. 28ECh. 4.2 - In Exercises 28 and 29, determine whether the...Ch. 4.2 - Prob. 1TECh. 4.2 - Prob. 2TECh. 4.2 - Prob. 3TECh. 4.2 - Prob. 4TECh. 4.3 - Explain why the following linear programming...Ch. 4.3 - Prob. 2CQCh. 4.3 - Prob. 3CQCh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - Prob. 20ECh. 4.3 - MAXIMIZING INVESTMENT RETURNS Natsano has at most...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.3 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.3 - TRANSPORTATION The Green Company manufactures an...Ch. 4.3 - DIET PLANNING A nutritionist at the Medical Center...Ch. 4.3 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 4.CRQ - Prob. 1CRQCh. 4.CRQ - Prob. 2CRQCh. 4.CRQ - Prob. 3CRQCh. 4.CRQ - Prob. 4CRQCh. 4.CRE - Prob. 1CRECh. 4.CRE - Prob. 2CRECh. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - Prob. 4CRECh. 4.CRE - Prob. 5CRECh. 4.CRE - Prob. 6CRECh. 4.CRE - Prob. 7CRECh. 4.CRE - Prob. 8CRECh. 4.CRE - Prob. 9CRECh. 4.CRE - Construct the dual problem associated with the...Ch. 4.CRE - Prob. 11CRECh. 4.CRE - Prob. 12CRECh. 4.CRE - Prob. 13CRECh. 4.CRE - Prob. 14CRECh. 4.CRE - Prob. 15CRECh. 4.CRE - Prob. 16CRECh. 4.CRE - Prob. 17CRECh. 4.CRE - Prob. 18CRECh. 4.CRE - MINIMIZING MINING COSTS Perth Mining Company...Ch. 4.CRE - MINIMIZING RIVER CRUISE COSTS Nordic River Cruises...Ch. 4.CRE - PRODUCTION SCHEDULING Acoustical Company...Ch. 4.CRE - PRODUCTION SCHEDULING Wayland Company manufactures...Ch. 4.CRE - MINIMIZING CITY WATER COSTS The water-supply...Ch. 4.CRE - INVESTMENT ANALYSIS Jorge has decided to invest at...Ch. 4.CRE - MAXIMIZING PROFIT A company manufactures three...Ch. 4.CRE - INVESTMENT ANALYSIS Sandra has at most 200,000 to...Ch. 4.BMO - Prob. 1BMOCh. 4.BMO - Prob. 2BMOCh. 4.BMO - Prob. 3BMOCh. 4.BMO - Prob. 4BMOCh. 4.BMO - Using the simplex method, solve the following...
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