PATHWAYS TO MATH W/ CONNECT LL
15th Edition
ISBN: 9781260014228
Author: sobecki
Publisher: MCG
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Chapter 1.7, Problem 4A
To determine
To calculate: The price of the pizza after two
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Students have asked these similar questions
Suppose we have a linear program in standard equation form
maximize cTx
subject to Ax = b.
x ≥ 0.
and suppose u, v, and w are all optimal solutions to this linear program.
(a) Prove that zu+v+w is an optimal solution.
(b) If you try to adapt your proof from part (a) to prove that that u+v+w
is an optimal solution, say exactly which part(s) of the proof go wrong.
(c) If you try to adapt your proof from part (a) to prove that u+v-w is an
optimal solution, say exactly which part(s) of the proof go wrong.
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
x2 x3
81 82
83
84
81
-2 0
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
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
Chapter 1 Solutions
PATHWAYS TO MATH W/ CONNECT LL
Ch. 1.1 - After reading the opening paragraph, what do you...Ch. 1.1 - Count the number of spaces containing each letter...Ch. 1.1 - Prob. 2CCh. 1.1 - Prob. 4CCh. 1.1 - Prob. 5CCh. 1.1 - Prob. 7CCh. 1.1 - Prob. 8CCh. 1.1 - Prob. 3GCh. 1.1 - Prob. 4GCh. 1.1 - Prob. 5G
Ch. 1.1 - To create a pie chart in Excel: Type the category...Ch. 1.1 - To create a pie chart in Excel: Type the category...Ch. 1.1 - To create a pie chart in Excel: Use the mouse to...Ch. 1.1 - To create a pie chart in Excel: With the...Ch. 1.2 - Prob. 1GCh. 1.2 - Prob. 2GCh. 1.2 - Prob. 3GCh. 1.2 - Prob. 4GCh. 1.2 - Prob. 5GCh. 1.2 - Prob. 6GCh. 1.2 - Prob. 7GCh. 1.2 - Prob. 8GCh. 1.2 - Prob. 9GCh. 1.2 - Prob. 10GCh. 1.2 - Prob. 11GCh. 1.2 - Prob. 12GCh. 1.2 - Prob. 13GCh. 1.2 - Prob. 14GCh. 1.2 - Prob. 1ACh. 1.2 - Prob. 2ACh. 1.2 - Prob. 3ACh. 1.2 - Prob. 4ACh. 1.2 - Sometimes bar graphs will have more than one bar...Ch. 1.2 - Prob. 6ACh. 1.2 - Prob. 7ACh. 1.3 - Prob. 0LOCh. 1.3 - Prob. 1CCh. 1.3 - Prob. 2CCh. 1.3 - Prob. 3CCh. 1.3 - Prob. 4CCh. 1.3 - Prob. 5CCh. 1.3 - Prob. 6CCh. 1.3 - Prob. 7CCh. 1.3 - Prob. 8CCh. 1.3 - Prob. 1GCh. 1.3 - Prob. 2GCh. 1.3 - Prob. 3GCh. 1.3 - Prob. 4GCh. 1.3 - Prob. 5GCh. 1.3 - Prob. 6GCh. 1.3 - In a study of 400 entrees served at 75 campus...Ch. 1.3 - In a study of 400 entrees served at 75 campus...Ch. 1.3 - In a study of 400 entrees served at 75 campus...Ch. 1.3 - Prob. 1ACh. 1.3 - In a survey of 85 college students, 72 use...Ch. 1.3 - Two hundred patients suffering from depression...Ch. 1.3 - Prob. 4ACh. 1.3 - Prob. 5ACh. 1.3 - Prob. 6ACh. 1.3 - Prob. 7ACh. 1.3 - Two hundred patients suffering from depression...Ch. 1.3 - Prob. 1OCTACh. 1.3 - Prob. 3OCTACh. 1.4 - Prob. 1CCh. 1.4 - Prob. 2CCh. 1.4 - Prob. 3CCh. 1.4 - Prob. 4CCh. 1.4 - Prob. 5CCh. 1.4 - Prob. 6CCh. 1.4 - Prob. 7CCh. 1.4 - Prob. 8CCh. 1.4 - Prob. 9CCh. 1.4 - Prob. 10CCh. 1.4 - Prob. 11CCh. 1.4 - Prob. 12CCh. 1.4 - Prob. 13CCh. 1.4 - Prob. 14CCh. 1.4 - Prob. 15CCh. 1.4 - Prob. 16CCh. 1.4 - Prob. 17CCh. 1.4 - Prob. 18CCh. 1.4 - Prob. 19CCh. 1.4 - Complete the following table of common square...Ch. 1.4 - Prob. 1GCh. 1.4 - Prob. 2GCh. 1.4 - Prob. 3GCh. 1.4 - Prob. 4GCh. 1.4 - Prob. 5GCh. 1.4 - Prob. 6GCh. 1.4 - Prob. 7GCh. 1.4 - Prob. 8GCh. 1.4 - Prob. 9GCh. 1.4 - Prob. 10GCh. 1.4 - Prob. 11GCh. 1.4 - Spend some time thinking about each question...Ch. 1.4 - Prob. 1ACh. 1.4 - Prob. 2ACh. 1.4 - Prob. 3ACh. 1.4 - Prob. 4ACh. 1.4 - Prob. 5ACh. 1.4 - Prob. 6ACh. 1.5 - Prob. 0LOCh. 1.5 - For Questions 1-4, find the total amount of each...Ch. 1.5 - For Questions 1-4, find the total amount of each...Ch. 1.5 - For Questions 1-4, find the total amount of each...Ch. 1.5 - For Questions 1-4, find the total amount of each...Ch. 1.5 - Prob. 5GCh. 1.5 - Prob. 6GCh. 1.5 - Prob. 1CCh. 1.5 - Prob. 2CCh. 1.5 - Prob. 3CCh. 1.5 - Prob. 4CCh. 1.5 - Prob. 5CCh. 1.5 - Prob. 6CCh. 1.5 - Prob. 7CCh. 1.5 - Prob. 8CCh. 1.5 - Prob. 9CCh. 1.5 - Prob. 10CCh. 1.5 - Prob. 11CCh. 1.5 - Here are some addition problems for you to work...Ch. 1.5 - Prob. 13CCh. 1.5 - Prob. 14CCh. 1.5 - Here are some addition problems for you to work...Ch. 1.5 - Prob. 16CCh. 1.5 - Here are some addition problems for you to work...Ch. 1.5 - Here are some addition problems for you to work...Ch. 1.5 - Prob. 3GACh. 1.5 - Prob. 4GACh. 1.5 - Here are some addition problems for you to work...Ch. 1.5 - What would the ending balance have been if the...Ch. 1.5 - What would the ending balance be if we remove the...Ch. 1.5 - Prob. 8GACh. 1.5 - Prob. 9GACh. 1.5 - Prob. 10GACh. 1.5 - Prob. 11GACh. 1.5 - Prob. 12GACh. 1.5 - Prob. 13GACh. 1.5 - Prob. 14GACh. 1.5 - Prob. 15GACh. 1.5 - Prob. 16GACh. 1.5 - Prob. 1ACh. 1.5 - Prob. 2ACh. 1.5 - The perimeter of a figure is found by taking the...Ch. 1.5 - Prob. 4ACh. 1.5 - Prob. 5ACh. 1.5 - Prob. 6ACh. 1.5 - Prob. 7ACh. 1.5 - Prob. 8ACh. 1.5 - Prob. 9ACh. 1.6 - Prob. 1GCh. 1.6 - Prob. 2GCh. 1.6 - Prob. 3GCh. 1.6 - Prob. 4GCh. 1.6 - Prob. 5GCh. 1.6 - Prob. 6GCh. 1.6 - Prob. 7GCh. 1.6 - Prob. 8GCh. 1.6 - Prob. 9GCh. 1.6 - Prob. 10GCh. 1.6 - Prob. 11GCh. 1.6 - Prob. 13GCh. 1.6 - Prob. 14GCh. 1.6 - If you spend 30 minutes a day goofing off on the...Ch. 1.6 - Prob. 2ACh. 1.6 - Prob. 3ACh. 1.6 - Gaining or losing weight comes down to calories...Ch. 1.6 - Prob. 5ACh. 1.6 - Prob. 6ACh. 1.7 - Account 1: You deposit $1,000 into an account that...Ch. 1.7 - Account 1: You deposit $1,000 into an account that...Ch. 1.7 - Prob. 5GCh. 1.7 - Account 1: You deposit $1,000 into an account that...Ch. 1.7 - Account 1: You deposit $1,000 into an account that...Ch. 1.7 - Account 1: You deposit $1,000 into an account that...Ch. 1.7 - Prob. 2CCh. 1.7 - Prob. 3CCh. 1.7 - Prob. 4CCh. 1.7 - Prob. 5CCh. 1.7 - Prob. 6CCh. 1.7 - Prob. 7CCh. 1.7 - Prob. 9CCh. 1.7 - Prob. 10CCh. 1.7 - Prob. 12CCh. 1.7 - Prob. 13CCh. 1.7 - Prob. 1ACh. 1.7 - Prob. 2ACh. 1.7 - Prob. 3ACh. 1.7 - Prob. 4ACh. 1.7 - Prob. 5ACh. 1.7 - Prob. 6ACh. 1.8 - Prob. 0LOCh. 1.8 - Prob. 1GCh. 1.8 - Prob. 2GCh. 1.8 - Prob. 3GCh. 1.8 - Prob. 4GCh. 1.8 - Prob. 5GCh. 1.8 - Prob. 6GCh. 1.8 - Prob. 7GCh. 1.8 - Prob. 8GCh. 1.8 - Prob. 9GCh. 1.8 - Prob. 10GCh. 1.8 - Prob. 1CCh. 1.8 - Prob. 2CCh. 1.8 - Prob. 3CCh. 1.8 - In the first list, the values grow by ____________...Ch. 1.8 - Prob. 5CCh. 1.8 - Prob. 6CCh. 1.8 - Prob. 7CCh. 1.8 - Prob. 8CCh. 1.8 - Prob. 9CCh. 1.8 - Prob. 10CCh. 1.8 - Prob. 11CCh. 1.8 - Prob. 1ACh. 1.8 - Prob. 2ACh. 1.8 - Prob. 3ACh. 1.8 - Prob. 4ACh. 1.8 - Prob. 5ACh. 1.9 - After reading the opening paragraph, what do you...Ch. 1.9 - In his 2010 book The Global Achievement Gap,...Ch. 1.9 - In his 2010 book The Global Achievement Gap,...Ch. 1.9 - Prob. 3CCh. 1.9 - Prob. 4CCh. 1.9 - Prob. 5CCh. 1.9 - Prob. 6CCh. 1.9 - Prob. 7CCh. 1.9 - Heres a key quote from Wagners book: Today...Ch. 1.9 - Prob. 1GCh. 1.9 - Prob. 2GCh. 1.9 - Prob. 3GCh. 1.9 - Prob. 4GCh. 1.9 - Prob. 5GCh. 1.9 - Prob. 6GCh. 1.9 - Prob. 7GCh. 1.9 - Prob. 8GCh. 1.9 - Prob. 9GCh. 1.9 - Prob. 10GCh. 1.9 - Prob. 11GCh. 1.9 - Prob. 12GCh. 1.9 - Prob. 13GCh. 1.9 - Prob. 14GCh. 1.9 - Prob. 15GCh. 1.9 - Prob. 16GCh. 1.9 - Prob. 17GCh. 1.9 - Prob. 18GCh. 1.9 - Prob. 19GCh. 1.9 - Prob. 20GCh. 1.9 - Tennis balls are packaged in a cylindrical can,...Ch. 1.9 - Prob. 2ACh. 1.9 - Use the unit converter website you found in the...Ch. 1.9 - What percentage of the volume of the can is filled...Ch. 1.9 - After performing the division in Question 4, what...Ch. 1.9 - Racquetballs have a radius of about 2.8 cm. If...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - The spreadsheet summarizes the results for one...Ch. 1.10 - In math and stats, the term average is sort of a...Ch. 1.10 - The median of a list of numbers is the value that...Ch. 1.10 - The mode of a list of numbers is the value that...Ch. 1.10 - At the beginning of the course, you should have...Ch. 1.10 - Lets look at a fairly basic points system for...Ch. 1.10 - Lets look at a fairly basic points system for...Ch. 1.10 - If you dont show up for the first exam and take a...Ch. 1.10 - What would your final percentage be if you score...Ch. 1.10 - What does the difference between your answers to...Ch. 1.10 - Heres another look at a group of exam scores: Find...Ch. 1.10 - Heres another look at a group of exam scores: Find...Ch. 1.10 - Heres another look at a group of exam scores: Find...Ch. 1.10 - Find the mean, median, and mode for the scores on...
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