DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter 5.3, Problem 4ES
To determine
The range of height for the standard dwarf bearded iris if a range of heights of each bearded Irises variety is,
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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.
Suppose we have a linear program in standard equation form
maximize c'x
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.
Chapter 5 Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. 5.1 - Objectives 1.6c and 3.4c:Simplify expressions...Ch. 5.1 - Prob. 2SRCh. 5.1 - Prob. 1DECh. 5.1 - Prob. 2DECh. 5.1 - Prob. 3DECh. 5.1 - Prob. 4DECh. 5.1 - GS Sohas sociology professor included the...Ch. 5.1 - Prob. 6DECh. 5.1 - Prob. 7DECh. 5.1 - Prob. 8DE
Ch. 5.1 - Prob. 9DECh. 5.1 - Prob. 10DECh. 5.1 - Prob. 11DECh. 5.1 - Prob. 12DECh. 5.1 - Prob. 13DECh. 5.1 - Prob. 14DECh. 5.1 - Prob. 15DECh. 5.1 - 16. In a lab, Gina determined the mass, in grams,...Ch. 5.1 - Prob. 1RCCh. 5.1 - Prob. 2RCCh. 5.1 - Prob. 3RCCh. 5.1 - Prob. 4RCCh. 5.1 - Prob. 1ESCh. 5.1 - Prob. 2ESCh. 5.1 - Prob. 3ESCh. 5.1 - Prob. 4ESCh. 5.1 - Prob. 5ESCh. 5.1 - Prob. 6ESCh. 5.1 - Prob. 7ESCh. 5.1 - Prob. 8ESCh. 5.1 - Prob. 9ESCh. 5.1 - Prob. 10ESCh. 5.1 - Prob. 11ESCh. 5.1 - Prob. 12ESCh. 5.1 - Prob. 13ESCh. 5.1 - Prob. 14ESCh. 5.1 - Prob. 15ESCh. 5.1 - Prob. 16ESCh. 5.1 - Grading. To get a B in math, Rich must score an...Ch. 5.1 - Prob. 18ESCh. 5.1 - Prob. 19ESCh. 5.1 - Prob. 20ESCh. 5.1 - Median Home Prices. The following table lists the...Ch. 5.1 - Prob. 22ESCh. 5.1 - Movie Ticket Sales. The following table lists the...Ch. 5.1 - Prob. 24ESCh. 5.1 - Prob. 25ESCh. 5.1 - Prob. 26ESCh. 5.1 - Prob. 27ESCh. 5.1 - Prob. 28ESCh. 5.1 - Prob. 29ESCh. 5.1 - Prob. 30ESCh. 5.1 - Prob. 31ESCh. 5.2 - Objective 2.4d: Multiply using mixed numerals....Ch. 5.2 - Prob. 2SRCh. 5.2 - Use the table in Example 1 to answer Margin...Ch. 5.2 - Prob. 2DECh. 5.2 - Prob. 3DECh. 5.2 - Prob. 4DECh. 5.2 - Prob. 5DECh. 5.2 - Prob. 6DECh. 5.2 - Prob. 7DECh. 5.2 - Prob. 8DECh. 5.2 - Prob. 9DECh. 5.2 - Prob. 10DECh. 5.2 - Prob. 11DECh. 5.2 - Prob. 12DECh. 5.2 - Prob. 13DECh. 5.2 - Prob. 14DECh. 5.2 - Prob. 15DECh. 5.2 - Prob. 1RCCh. 5.2 - Prob. 2RCCh. 5.2 - Prob. 3RCCh. 5.2 - Prob. 4RCCh. 5.2 - Prob. 1ESCh. 5.2 - Prob. 2ESCh. 5.2 - Prob. 3ESCh. 5.2 - Prob. 4ESCh. 5.2 - Prob. 5ESCh. 5.2 - Prob. 6ESCh. 5.2 - Prob. 7ESCh. 5.2 - Prob. 8ESCh. 5.2 - Prob. 9ESCh. 5.2 - Prob. 10ESCh. 5.2 - Prob. 11ESCh. 5.2 - Prob. 12ESCh. 5.2 - Prob. 13ESCh. 5.2 - Prob. 14ESCh. 5.2 - Prob. 15ESCh. 5.2 - Prob. 16ESCh. 5.2 - Prob. 17ESCh. 5.2 - Prob. 18ESCh. 5.2 - Prob. 19ESCh. 5.2 - Prob. 20ESCh. 5.2 - Prob. 21ESCh. 5.2 - Prob. 22ESCh. 5.2 - Prob. 23ESCh. 5.2 - Prob. 24ESCh. 5.2 - Prob. 25ESCh. 5.2 - Prob. 26ESCh. 5.2 - Prob. 27ESCh. 5.2 - Prob. 28ESCh. 5.2 - Prob. 29ESCh. 5.2 - Prob. 30ESCh. 5.2 - Prob. 31ESCh. 5.2 - Prob. 32ESCh. 5.2 - Prob. 33ESCh. 5.2 - Prob. 34ESCh. 5.2 - Prob. 35ESCh. 5.2 - Prob. 36ESCh. 5.2 - Prob. 37ESCh. 5.2 - Prob. 38ESCh. 5.2 - Personal Consumption Expenditures. The following...Ch. 5.2 - Personal Consumption Expenditures. The following...Ch. 5.2 - Prob. 41ESCh. 5.2 - Prob. 42ESCh. 5.2 - Prob. 43ESCh. 5.2 - Prob. 44ESCh. 5.2 - Prob. 1MCRCh. 5.2 - Prob. 2MCRCh. 5.2 - Prob. 3MCRCh. 5.2 - Prob. 4MCRCh. 5.2 - Prob. 5MCRCh. 5.2 - Prob. 6MCRCh. 5.2 - Prob. 7MCRCh. 5.2 - Prob. 8MCRCh. 5.2 - Prob. 9MCRCh. 5.2 - Prob. 10MCRCh. 5.2 - Prob. 11MCRCh. 5.2 - Prob. 12MCRCh. 5.2 - Prob. 13MCRCh. 5.2 - Prob. 14MCRCh. 5.2 - Prob. 15MCRCh. 5.2 - Prob. 16MCRCh. 5.2 - Downsizing. Companies sometimes downsize their...Ch. 5.2 - Prob. 18MCRCh. 5.2 - Prob. 19MCRCh. 5.2 - Prob. 20MCRCh. 5.2 - Prob. 21MCRCh. 5.2 - Prob. 22MCRCh. 5.2 - Prob. 23UTDWCh. 5.2 - Answers to Exercises 23 and 24 can be found on...Ch. 5.3 - Objective 3.1c: Given a pair of numbers in decimal...Ch. 5.3 - Objective 3.1c: Given a pair of numbers in decimal...Ch. 5.3 - Prob. 1DECh. 5.3 - Prob. 2DECh. 5.3 - Prob. 3DECh. 5.3 - Prob. 4DECh. 5.3 - Prob. 5DECh. 5.3 - Prob. 6DECh. 5.3 - Prob. 7DECh. 5.3 - Prob. 8DECh. 5.3 - Prob. 1RCCh. 5.3 - Prob. 2RCCh. 5.3 - Prob. 3RCCh. 5.3 - Prob. 4RCCh. 5.3 - Prob. 1ESCh. 5.3 - Prob. 2ESCh. 5.3 - Prob. 3ESCh. 5.3 - Prob. 4ESCh. 5.3 - Prob. 5ESCh. 5.3 - Prob. 6ESCh. 5.3 - Prob. 7ESCh. 5.3 - Prob. 8ESCh. 5.3 - Prob. 9ESCh. 5.3 - Prob. 10ESCh. 5.3 - Prob. 11ESCh. 5.3 - Prob. 12ESCh. 5.3 - Prob. 13ESCh. 5.3 - Prob. 14ESCh. 5.3 - Prob. 15ESCh. 5.3 - Prob. 16ESCh. 5.3 - Prob. 17ESCh. 5.3 - Prob. 18ESCh. 5.3 - Prob. 19ESCh. 5.3 - Prob. 20ESCh. 5.3 - Prob. 21ESCh. 5.3 - Prob. 22ESCh. 5.3 - Prob. 23ESCh. 5.3 - Prob. 24ESCh. 5.3 - Prob. 25ESCh. 5.3 - Prob. 26ESCh. 5.3 - Prob. 27ESCh. 5.3 - Prob. 28ESCh. 5.3 - Prob. 29ESCh. 5.3 - Prob. 30ESCh. 5.3 - Prob. 31ESCh. 5.3 - Prob. 32ESCh. 5.3 - Prob. 33ESCh. 5.3 - Prob. 34ESCh. 5.3 - Prob. 35ESCh. 5.3 - Prob. 36ESCh. 5.3 - Prob. 37ESCh. 5.3 - Prob. 38ESCh. 5.3 - Prob. 39ESCh. 5.3 - Prob. 40ESCh. 5.3 - Prob. 41ESCh. 5.3 - Prob. 42ESCh. 5.3 - Prob. 43ESCh. 5.3 - Prob. 44ESCh. 5.3 - Prob. 45ESCh. 5.3 - Prob. 46ESCh. 5.3 - Prob. 47ESCh. 5.3 - Prob. 48ESCh. 5.3 - Prob. 49ESCh. 5.3 - Prob. 50ESCh. 5.3 - Prob. 51ESCh. 5.3 - Prob. 52ESCh. 5.3 - Prob. 53ESCh. 5.3 - Prob. 54ESCh. 5.3 - Prob. 55ESCh. 5.3 - Prob. 56ESCh. 5.3 - Prob. 57ESCh. 5.3 - Prob. 58ESCh. 5.3 - Prob. 59ESCh. 5.3 - Prob. 60ESCh. 5.4 - Objective 4.3a: Convert from fraction notation to...Ch. 5.4 - Prob. 2SRCh. 5.4 - Prob. 1DECh. 5.4 - Prob. 2DECh. 5.4 - Prob. 3DECh. 5.4 - Prob. 4DECh. 5.4 - Prob. 1TFSCh. 5.4 - Prob. 2TFSCh. 5.4 - Prob. 3TFSCh. 5.4 - Prob. 4TFSCh. 5.4 - Prob. 5TFSCh. 5.4 - The goal of these matching questions is to...Ch. 5.4 - Prob. 7TFSCh. 5.4 - Prob. 8TFSCh. 5.4 - Prob. 9TFSCh. 5.4 - Prob. 10TFSCh. 5.4 - Prob. 1RCCh. 5.4 - Prob. 2RCCh. 5.4 - Prob. 3RCCh. 5.4 - Prob. 4RCCh. 5.4 - Prob. 5RCCh. 5.4 - Prob. 6RCCh. 5.4 - Prob. 1ESCh. 5.4 - Prob. 2ESCh. 5.4 - Prob. 3ESCh. 5.4 - Prob. 4ESCh. 5.4 - Prob. 5ESCh. 5.4 - Prob. 6ESCh. 5.4 - Prob. 7ESCh. 5.4 - Prob. 8ESCh. 5.4 - Prob. 9ESCh. 5.4 - Prob. 10ESCh. 5 - Complete each statement with the correct term from...Ch. 5 - Prob. 2VRCh. 5 - Prob. 3VRCh. 5 - Prob. 4VRCh. 5 - Prob. 5VRCh. 5 - Prob. 6VRCh. 5 - Prob. 1CORCh. 5 - Prob. 2CORCh. 5 - Prob. 3CORCh. 5 - Prob. 1SGPECh. 5 - 2. Use the table in the example shown above for...Ch. 5 - Which oatmeal has the greatest cost per serving?...Ch. 5 - Prob. 4SGPECh. 5 - Prob. 5SGPECh. 5 - Prob. 6SGPECh. 5 - Use the circle graph at left to answer Exercises 7...Ch. 5 - Use the circle graph at left to answer Exercises 7...Ch. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Gas Mileage. A 2012 Mazda Miata does 336 mi of...Ch. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Major League World Series. Except for four years,...Ch. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Prob. 40RECh. 5 - Prob. 41RECh. 5 - Prob. 42RECh. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - What is the average of this set of data?...Ch. 5 - Prob. 47RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - Prob. 50RECh. 5 - Prob. 1UTDWCh. 5 - Prob. 2UTDWCh. 5 - Prob. 3UTDWCh. 5 - Prob. 4UTDWCh. 5 - Prob. 5UTDWCh. 5 - Prob. 6UTDWCh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - 26. Referring to Exercise 25, consider a family...
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