
Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 11.2, Problem 1E
Find the value of a, b, and c in each equation:
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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 11 Solutions
Elementary Technical Mathematics
Ch. 11.1 - Solve each equation: x2+x=12Ch. 11.1 - Solve each equation: x23x+2=0Ch. 11.1 - Solve each equation: x2+x20=0Ch. 11.1 - Prob. 4ECh. 11.1 - Solve each equation: x22=xCh. 11.1 - Solve each equation: x215x=54Ch. 11.1 - Solve each equation: x21=0Ch. 11.1 - Solve each equation: 16n2=49Ch. 11.1 - Solve each equation: x249=0Ch. 11.1 - Prob. 10E
Ch. 11.1 - Solve each equation: w2+5w+6=0Ch. 11.1 - Solve each equation: x26x=0Ch. 11.1 - Prob. 13ECh. 11.1 - Solve each equation: c2+2=3cCh. 11.1 - Solve each equation: n26n60=0Ch. 11.1 - Solve each equation: x217x+16=0Ch. 11.1 - Solve each equation: 9m=m2Ch. 11.1 - Solve each equation: 6n215n=0Ch. 11.1 - Solve each equation: x2=108+3xCh. 11.1 - Solve each equation: x2x=42Ch. 11.1 - Solve each equation: c2+6c=16Ch. 11.1 - Solve each equation: 4x2+4x3=0Ch. 11.1 - Solve each equation: 10x2+29x+10=0Ch. 11.1 - Solve each equation: 2x2=17x8Ch. 11.1 - Solve each equation: 4x2=25Ch. 11.1 - Solve each equation: 25x=x2Ch. 11.1 - Solve each equation: 9x2+16=24xCh. 11.1 - Solve each equation: 24x2+10=31xCh. 11.1 - Solve each equation: 3x2+9x=0Ch. 11.1 - A rectangle is 5 ft longer than it is wide. (See...Ch. 11.1 - The area of a triangle is 66 m2, and its base is 1...Ch. 11.1 - A rectangle is 9 ft longer than it is wide, and...Ch. 11.1 - A heating duct has a rectangular cross section...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Prob. 4ECh. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.3 - A variable voltage in an electrical circuit is...Ch. 11.3 - A variable electric current is given by i=t27t+12,...Ch. 11.3 - A rectangular piece of sheet metal is 4 ft longer...Ch. 11.3 - A hole in the side of a large metal tank needs to...Ch. 11.3 - The area of the wings of a small Cessna is 175...Ch. 11.3 - The perimeter of a rectangle is 46 cm, and its...Ch. 11.3 - The perimeter of a rectangle is 160 m, and its...Ch. 11.3 - A rectangular field is fenced in by using a river...Ch. 11.3 - The dimensions of a doorway are 3 ft by 7 ft 6 in....Ch. 11.3 - A square, 4 in. on a side, is cut out of each...Ch. 11.3 - A square is cut out of each corner of a...Ch. 11.3 - The area of a rectangular lot 80 m by 100 m is to...Ch. 11.3 - Prob. 13ECh. 11.3 - A border of uniform width is printed on a page...Ch. 11.3 - A company needs to build a ware house with...Ch. 11.3 - A 2000-ft2 storage building 9 ft high is needed to...Ch. 11.3 - A landscaper is laying sod in a rectangular front...Ch. 11.3 - A rectangular forest plot contains 120 acres and...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Simplify: j3Ch. 11.5 - Simplify: j6Ch. 11.5 - Simplify: j13Ch. 11.5 - Simplify: j16Ch. 11.5 - Simplify: j19Ch. 11.5 - Simplify: j31Ch. 11.5 - Simplify: j24Ch. 11.5 - Simplify: j26Ch. 11.5 - Simplify: j38Ch. 11.5 - Simplify: j81Ch. 11.5 - Simplify: 1jCh. 11.5 - Simplify: 1j6Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11 - Prob. 1RCh. 11 - Solve for x:3x(x2)=0Ch. 11 - Solve each equation by factoring: x24=0Ch. 11 - Solve each equation by factoring: x2x=6Ch. 11 - Solve each equation by factoring: 5x26x=0Ch. 11 - Solve each equation by factoring: x23x28=0Ch. 11 - Solve each equation by factoring: x214x=45Ch. 11 - Solve each equation by factoring: x2183x=0Ch. 11 - Solve each equation by factoring: 3x2+20x+32=0Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - The area of a piece of plywood is 36 ft2. Its...Ch. 11 - A variable electric current is given by the...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Express each number in terms of j: 36Ch. 11 - Express each number in terms of j: 73Ch. 11 - Simplify: j12Ch. 11 - Simplify: j27Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - A solar-heated house has a rectangular heat...Ch. 11 - A rectangular opening is 15 in. wide and 26 in....Ch. 11 - Solve each equation: x2=64Ch. 11 - Solve each equation: x28x=0Ch. 11 - Solve each equation: x2+9x36=0Ch. 11 - Solve each equation: 12x2+4x=1Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Draw the graph of y=x28x15 and label the vertex.Ch. 11 - Draw the graph of y=2x2+8x+11 and label the...Ch. 11 - Express each number in terms of j: 16Ch. 11 - Express each number in terms of j: 29Ch. 11 - Simplify: j9Ch. 11 - Simplify: j28Ch. 11 - Determine the nature of the roots of 3x2x+4=0...Ch. 11 - One side of a rectangle is 5 cm more that another....
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