Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 0.1, Problem 7E
To determine
To calculate: The value of
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Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
a) Determine the mean change in patient weight from before to after the
diet (after – before). What is the 95% confidence interval of this mean
difference?
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 0 Solutions
Finite Mathematics
Ch. 0.1 - Prob. 1ECh. 0.1 - Prob. 2ECh. 0.1 - Prob. 3ECh. 0.1 - Prob. 4ECh. 0.1 - Prob. 5ECh. 0.1 - Prob. 6ECh. 0.1 - Prob. 7ECh. 0.1 - Prob. 8ECh. 0.1 - Prob. 9ECh. 0.1 - Prob. 10E
Ch. 0.1 - Prob. 11ECh. 0.1 - Prob. 12ECh. 0.1 - Prob. 13ECh. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 15ECh. 0.1 - Prob. 16ECh. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 19ECh. 0.1 - Prob. 20ECh. 0.1 - Prob. 21ECh. 0.1 - Prob. 22ECh. 0.1 - Prob. 23ECh. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 25ECh. 0.1 - Prob. 26ECh. 0.1 - Prob. 27ECh. 0.1 - Prob. 28ECh. 0.1 - Prob. 29ECh. 0.1 - Prob. 30ECh. 0.1 - Prob. 31ECh. 0.1 - Prob. 32ECh. 0.1 - Prob. 33ECh. 0.1 - Prob. 34ECh. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Prob. 38ECh. 0.1 - Prob. 39ECh. 0.1 - Prob. 40ECh. 0.1 - Prob. 41ECh. 0.1 - Prob. 42ECh. 0.1 - Prob. 43ECh. 0.1 - Prob. 44ECh. 0.1 - Prob. 45ECh. 0.1 - Prob. 46ECh. 0.1 - Prob. 47ECh. 0.1 - Prob. 48ECh. 0.1 - Prob. 49ECh. 0.1 - Prob. 50ECh. 0.2 - Prob. 1ECh. 0.2 - Prob. 2ECh. 0.2 - Prob. 3ECh. 0.2 - Prob. 4ECh. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - Prob. 32ECh. 0.2 - Prob. 33ECh. 0.2 - Prob. 34ECh. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Prob. 36ECh. 0.2 - Prob. 37ECh. 0.2 - Prob. 38ECh. 0.2 - Prob. 39ECh. 0.2 - Prob. 40ECh. 0.2 - Prob. 41ECh. 0.2 - Prob. 42ECh. 0.2 - Prob. 43ECh. 0.2 - Prob. 44ECh. 0.2 - Prob. 45ECh. 0.2 - Prob. 46ECh. 0.2 - Prob. 47ECh. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Prob. 49ECh. 0.2 - Prob. 50ECh. 0.2 - Prob. 51ECh. 0.2 - Prob. 52ECh. 0.2 - Prob. 53ECh. 0.2 - Prob. 54ECh. 0.2 - Prob. 55ECh. 0.2 - Prob. 56ECh. 0.2 - Prob. 57ECh. 0.2 - Prob. 58ECh. 0.2 - Prob. 59ECh. 0.2 - Prob. 60ECh. 0.2 - Prob. 61ECh. 0.2 - Prob. 62ECh. 0.2 - Prob. 63ECh. 0.2 - Prob. 64ECh. 0.2 - Prob. 65ECh. 0.2 - Prob. 66ECh. 0.2 - Prob. 67ECh. 0.2 - Prob. 68ECh. 0.2 - Prob. 69ECh. 0.2 - Prob. 70ECh. 0.2 - Prob. 71ECh. 0.2 - Prob. 72ECh. 0.2 - Prob. 73ECh. 0.2 - Prob. 74ECh. 0.2 - Prob. 75ECh. 0.2 - Prob. 76ECh. 0.2 - Prob. 77ECh. 0.2 - Prob. 78ECh. 0.2 - Prob. 79ECh. 0.2 - Prob. 80ECh. 0.2 - Prob. 81ECh. 0.2 - Prob. 82ECh. 0.2 - Prob. 83ECh. 0.2 - Prob. 84ECh. 0.2 - Prob. 85ECh. 0.2 - Prob. 86ECh. 0.2 - Prob. 87ECh. 0.2 - Prob. 88ECh. 0.2 - Prob. 89ECh. 0.2 - Prob. 90ECh. 0.2 - Prob. 91ECh. 0.2 - Prob. 92ECh. 0.2 - Prob. 93ECh. 0.2 - Prob. 94ECh. 0.2 - Prob. 95ECh. 0.2 - Prob. 96ECh. 0.2 - Prob. 97ECh. 0.2 - Prob. 98ECh. 0.2 - Prob. 99ECh. 0.2 - Prob. 100ECh. 0.2 - Prob. 101ECh. 0.2 - Prob. 102ECh. 0.2 - Prob. 103ECh. 0.2 - Prob. 104ECh. 0.2 - Prob. 105ECh. 0.2 - Prob. 106ECh. 0.2 - Prob. 107ECh. 0.2 - Prob. 108ECh. 0.2 - Prob. 109ECh. 0.2 - Prob. 110ECh. 0.2 - Prob. 111ECh. 0.2 - Prob. 112ECh. 0.2 - Prob. 113ECh. 0.2 - Prob. 114ECh. 0.2 - Prob. 115ECh. 0.2 - Prob. 116ECh. 0.2 - Prob. 117ECh. 0.2 - Prob. 118ECh. 0.2 - Prob. 119ECh. 0.2 - Prob. 120ECh. 0.3 - Expand each expression in Exercises 122. x(4x+6)Ch. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - Prob. 23ECh. 0.3 - Prob. 24ECh. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - Prob. 26ECh. 0.3 - Prob. 27ECh. 0.3 - Prob. 28ECh. 0.3 - Prob. 29ECh. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - Prob. 31ECh. 0.3 - Prob. 32ECh. 0.3 - Prob. 33ECh. 0.3 - Prob. 34ECh. 0.3 - Prob. 35ECh. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - Prob. 37ECh. 0.3 - Prob. 38ECh. 0.3 - Prob. 39ECh. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - Prob. 41ECh. 0.3 - Prob. 42ECh. 0.3 - Prob. 43ECh. 0.3 - Prob. 44ECh. 0.3 - Prob. 45ECh. 0.3 - Prob. 46ECh. 0.3 - Prob. 47ECh. 0.3 - Prob. 48ECh. 0.4 - Prob. 1ECh. 0.4 - Prob. 2ECh. 0.4 - Prob. 3ECh. 0.4 - Prob. 4ECh. 0.4 - Prob. 5ECh. 0.4 - Prob. 6ECh. 0.4 - Prob. 7ECh. 0.4 - Prob. 8ECh. 0.4 - Prob. 9ECh. 0.4 - Prob. 10ECh. 0.4 - Prob. 11ECh. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Prob. 13ECh. 0.4 - Prob. 14ECh. 0.4 - Prob. 15ECh. 0.4 - Prob. 16ECh. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Prob. 2ECh. 0.5 - Prob. 3ECh. 0.5 - Prob. 4ECh. 0.5 - Prob. 5ECh. 0.5 - Prob. 6ECh. 0.5 - Prob. 7ECh. 0.5 - Prob. 8ECh. 0.5 - Prob. 9ECh. 0.5 - Prob. 10ECh. 0.5 - Prob. 11ECh. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Prob. 13ECh. 0.5 - Prob. 14ECh. 0.5 - Prob. 15ECh. 0.5 - Prob. 16ECh. 0.5 - Prob. 17ECh. 0.5 - Prob. 18ECh. 0.5 - Prob. 19ECh. 0.5 - Prob. 20ECh. 0.5 - Prob. 21ECh. 0.5 - Prob. 22ECh. 0.5 - Prob. 23ECh. 0.5 - Prob. 24ECh. 0.5 - Prob. 25ECh. 0.5 - Prob. 26ECh. 0.5 - Prob. 27ECh. 0.5 - Prob. 28ECh. 0.5 - Prob. 29ECh. 0.5 - Prob. 30ECh. 0.5 - Prob. 31ECh. 0.5 - Prob. 32ECh. 0.5 - Prob. 33ECh. 0.5 - Prob. 34ECh. 0.5 - Prob. 35ECh. 0.5 - Prob. 36ECh. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Prob. 38ECh. 0.5 - Prob. 39ECh. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Prob. 41ECh. 0.5 - Prob. 42ECh. 0.5 - Prob. 43ECh. 0.5 - Prob. 44ECh. 0.6 - Prob. 1ECh. 0.6 - Prob. 2ECh. 0.6 - Prob. 3ECh. 0.6 - Prob. 4ECh. 0.6 - Prob. 5ECh. 0.6 - Prob. 6ECh. 0.6 - Prob. 7ECh. 0.6 - Prob. 8ECh. 0.6 - Prob. 9ECh. 0.6 - Prob. 10ECh. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Prob. 12ECh. 0.6 - Prob. 13ECh. 0.6 - Prob. 14ECh. 0.6 - Prob. 15ECh. 0.6 - Prob. 16ECh. 0.6 - Prob. 17ECh. 0.6 - Prob. 18ECh. 0.6 - Prob. 19ECh. 0.6 - Prob. 20ECh. 0.6 - Prob. 21ECh. 0.6 - Prob. 22ECh. 0.6 - Prob. 23ECh. 0.6 - Prob. 24ECh. 0.6 - Prob. 25ECh. 0.6 - Prob. 26ECh. 0.7 - Referring to the following figure, determine the...Ch. 0.7 - Prob. 2ECh. 0.7 - Prob. 3ECh. 0.7 - Prob. 4ECh. 0.7 - Prob. 5ECh. 0.7 - Prob. 6ECh. 0.7 - Prob. 7ECh. 0.7 - Prob. 8ECh. 0.7 - Prob. 9ECh. 0.7 - Prob. 10ECh. 0.7 - Prob. 11ECh. 0.7 - Prob. 12ECh. 0.7 - Prob. 13ECh. 0.7 - Prob. 14ECh. 0.7 - Prob. 15ECh. 0.7 - Prob. 16ECh. 0.7 - Prob. 17ECh. 0.7 - Find the value of k such that (k,k) is equidistant...Ch. 0.7 - Describe the set of points (x,y) such that...Ch. 0.7 - Prob. 20ECh. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - Prob. 14ECh. 0.8 - Prob. 15ECh. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - Prob. 23ECh. 0.8 - Prob. 24ECh. 0.8 - Prob. 25ECh. 0.8 - Prob. 26ECh. 0.8 - Prob. 27ECh. 0.8 - Prob. 28ECh. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Prob. 30ECh. 0.8 - Prob. 31ECh. 0.8 - Prob. 32ECh. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Prob. 34ECh. 0.8 - Prob. 35ECh. 0.8 - Prob. 36ECh. 0.8 - Prob. 37ECh. 0.8 - Prob. 38ECh. 0.8 - Prob. 39ECh. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...Ch. 0.8 - In Exercises 4756, solve the given equation for...
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