Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 3, Problem 3.68CE
To determine
To construct the
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Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
Chapter 3 Solutions
Introduction to Business Statistics
Ch. 3.2 - Determine the mean and the median wage rate for...Ch. 3.2 - Prob. 3.2ECh. 3.2 - Erika operates a website devoted to providing...Ch. 3.2 - A social scientist for a children’s advocacy...Ch. 3.2 - Prob. 3.5ECh. 3.2 - The following is a list of closing prices for 15...Ch. 3.2 - Prob. 3.7ECh. 3.2 - According to a utility company, utility plant...Ch. 3.2 - Prob. 3.9ECh. 3.2 - An observer stands at an overpass and, for each...
Ch. 3.2 - Prob. 3.11ECh. 3.2 - Prob. 3.12ECh. 3.2 - Prob. 3.13ECh. 3.2 - Prob. 3.14ECh. 3.2 - Prob. 3.15ECh. 3.3 - Prob. 3.16ECh. 3.3 - Prob. 3.17ECh. 3.3 - Prob. 3.18ECh. 3.3 - Prob. 3.19ECh. 3.3 - For a sample of 11 employers, the most recent...Ch. 3.3 - According to the U.S. Invironrnental Protection...Ch. 3.3 - For a sample of eight apartment buildings in...Ch. 3.3 - Prob. 3.23ECh. 3.3 - Prob. 3.24ECh. 3.3 - Prob. 3.25ECh. 3.3 - Prob. 3.26ECh. 3.3 - Data file XR02028 shows the depths (in meters)...Ch. 3.4 - Prob. 3.28ECh. 3.4 - According to Chebyshev’s theorem, what percentage...Ch. 3.4 - Prob. 3.30ECh. 3.4 - Prob. 3.31ECh. 3.4 - The manufacturer of an extended-life lighthulh...Ch. 3.4 - For college-bound high school seniors from a...Ch. 3.4 - For data set A, the mean is $1235, with a standard...Ch. 3.4 - Prob. 3.35ECh. 3.4 - Prob. 3.36ECh. 3.4 - Prob. 3.37ECh. 3.4 - Prob. 3.38ECh. 3.5 - Prob. 3.39ECh. 3.5 - Prob. 3.40ECh. 3.5 - Prob. 3.41ECh. 3.6 - Prob. 3.42ECh. 3.6 - For a set of data, r2 is 0.64 and the variables x...Ch. 3.6 - Prob. 3.44ECh. 3.6 - Prob. 3.45ECh. 3.6 - Prob. 3.46ECh. 3.6 - Prob. 3.47ECh. 3 - The first seven ustomers of the day at a small...Ch. 3 - A dental supplies distributor ships a customer 50...Ch. 3 - The 2007 top-grossing feature film was Spiderman...Ch. 3 - Prob. 3.51CECh. 3 - Prob. 3.52CECh. 3 - Prob. 3.53CECh. 3 - Prob. 3.54CECh. 3 - Prob. 3.55CECh. 3 - Prob. 3.56CECh. 3 - A quality control supervisor has taken a sample of...Ch. 3 - Prob. 3.58CECh. 3 - Prob. 3.59CECh. 3 - A law enforcement agency, administering...Ch. 3 - Prob. 3.61CECh. 3 - Prob. 3.62CECh. 3 - Prob. 3.63CECh. 3 - Prob. 3.64CECh. 3 - According to the Energy Information...Ch. 3 - Bride’s magazine reports the cost of the average...Ch. 3 - Prob. 3.67CECh. 3 - Prob. 3.68CECh. 3 - Prob. 3.69CE
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