Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 1.3, Problem 17E
(a)
To determine
The graph for the data provided below by taking length on
(b)
To determine
The least square line equation for the data provided below and plot the least square line data also.
(c)
To determine
If the size of the eggs of birds is smaller than the size of the eggs of the hummingbirds then would the equation found in part(b) will make any sense for all positive widths, no matter how small?
(d)
To determine
The
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1
Weight before
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Weight after
diet (pounds)
128
120
2
131
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3
140
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4
178
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5
121
118
6
136
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7
118
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a) Determine the mean change in patient weight from before to after the
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You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
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 12 23
81
82
83
S4
$1
-20
1 1
0
0
0
3
82
3 0
-2
0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0
-1 1 4
2
-2
0 11
0
0
-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
Chapter 1 Solutions
Finite Mathematics (11th Edition)
Ch. 1.1 - Find the slope of each line. Through (4,5) and...Ch. 1.1 - Find the slope of each line. Through (5,-4) and...Ch. 1.1 - Find the slope of each line. Through (8,4) and (8,...Ch. 1.1 - Find the slope of each line. Through (1,5) and...Ch. 1.1 - Find the slope of each line. y = xCh. 1.1 - Find the slope of each line. y = 3x - 2Ch. 1.1 - Find the slope of each line. 5x - 9y = 11Ch. 1.1 - Find the slope of each line. 4x + 7y = 1Ch. 1.1 - Find the slope of each line. 9. x = 5Ch. 1.1 - Find the slope of each line. The x-axis
Ch. 1.1 - Find the slope of each line. y = 8Ch. 1.1 - Find the slope of each line. y = -6Ch. 1.1 - Find the slope of each line. A line parallel to 6x...Ch. 1.1 - Find the slope of each line. A line perpendicular...Ch. 1.1 - In Exercises 24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 17ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 19ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - In Exercises 15- find an equation in...Ch. 1.1 - In Exercises 34, find an equation for each line in...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Do the points (4,3), (2,0), and (-18,-12) lie on...Ch. 1.1 - Find k so that the line through (4, -1) and (k, 2)...Ch. 1.1 - Prob. 37ECh. 1.1 - Use slopes to show that the square with vertices...Ch. 1.1 - For the lines in Exercises and 40, which of the...Ch. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - In Exercises 41 and estimate the slope of the...Ch. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Graph each equation. 2x - 3y = 12Ch. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Graph each equation. y +8 = 0Ch. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Graph each equation. 3x - 5y = 0Ch. 1.1 - Business and Economics Sales The sales of a small...Ch. 1.1 - Cost The total cost for a bakery to produce 100...Ch. 1.1 - Tuition The table lists the annual cost (in...Ch. 1.1 - Use of Cellular Telephones The following table...Ch. 1.1 - Consumer Price Index The Consumer Price Index...Ch. 1.1 - Life Sciences HIV Infection The time interval...Ch. 1.1 - Exercise Heart Rate To achieve the maximum benefit...Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Social Sciences Child Mortality Rate The mortality...Ch. 1.1 - Immigration In 1950, there were 249.187 immigrants...Ch. 1.1 - Marriage The following Table lists the U.S. median...Ch. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - /em>x and g(x)...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 8ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 10ECh. 1.2 - In Exercises 14, decide whether the statement is...Ch. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Business and Economics Supply and Demand Suppose...Ch. 1.2 - Prob. 28ECh. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Break-Even Analysis To produce x units of a...Ch. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36ECh. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Temperature Find the temperature at which the...Ch. 1.2 - General Interest Education Cost A recent budget...Ch. 1.3 - Suppose a positive linear correlation is found...Ch. 1.3 - Given a set of points, the least squares line...Ch. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Business and Economics Consumer Durable Goods The...Ch. 1.3 - Prob. 11ECh. 1.3 - Internet The percent of households with Internet...Ch. 1.3 - Landlines The percent of U.S. households with...Ch. 1.3 - Consumer Credit The total amount of consumer...Ch. 1.3 - Prob. 15ECh. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Social Sciences Pupil-Teacher Ratios The following...Ch. 1.3 - Prob. 21ECh. 1.3 - Ideal Partner Height In an introductory statistics...Ch. 1.3 - Prob. 23ECh. 1.3 - Physical Sciences Length of a Pendulum Grandfather...Ch. 1.3 - Prob. 25ECh. 1.3 - General Interest Football The following data give...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - Prob. 6EACh. 1 - Now look at the residuals as a fresh data set, and...Ch. 1 - Prob. 8EACh. 1 - Prob. 9EACh. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - PRACTICE AND EXPLORATIONS What is marginal cost?...Ch. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Supply and Demand A company is manufacturing a new...Ch. 1 - Prob. 50RECh. 1 - Cost In Exercises 50-53, find a linear cost...Ch. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Social Security The average monthly Social...Ch. 1 - Meat Consumption The U.S. per capita consumption...Ch. 1 - Prob. 60RECh. 1 - Blood Sugar and Cholesterol Levels The following...Ch. 1 - Prob. 62RECh. 1 - Poverty The following table gives the number (in...Ch. 1 - Prob. 64RECh. 1 - Prob. 65RE
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