USING + UNDERSTANDING MATH CUSTOM
6th Edition
ISBN: 9780137721023
Author: Bennett
Publisher: PEARSON C
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Textbook Question
Chapter 2.A, Problem 19E
Math Review. The following exercises require the skills covered in the Brief Review boxes in this unit.
19.
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(c) Describe the distribution plan and show the total distribution cost.
Optimal Solution
Amount
Cost
$ 2000
Southern-Hamilton
200
Southern-Butler
$
Southern-Clermont
300
4500
Northwest-Hamilton
200
$2400
Northwest-Butler
200
$3000
Northwest-Clermont
$
Total Cost
ક
(d) Recent residential and industrial growth in Butler County has the potential for increasing demand by 100 units.
(i) Create an updated distribution plan assuming Southern Gas becomes the preferred supplier.
Distribution Plan with Southern Gas
Amount
Southern-Hamilton
$
Cost
×
Southern-Butler
x
$
Southern-Clermont
300
$ 4500
Northwest-Hamilton
64
x
Northwest-Butler
$
×
Northwest-Clermont 0
$0
Total Cost
$
(ii) Create an updated distribution plan assuming Northwest Gas becomes the preferred supplier.
Distribution Plan with Northwest Gas
Southern-Hamilton
Southern-Butler
0
Southern-Clermont
Northwest-Hamilton
Northwest-Butler
Northwest-Clermont
Total Cost
Amount
×
x
x
+7
$0
Cost
×
$
×
$
×
+4
$
-/+
$
×
×
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows.
Warehouse
Plant
Capacity
1
2
1
4
7
450
2
8
5
600
3
5
6
380
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows.
Customer
Warehouse
1
2 3
1
6
4
8
2
3
6
7
7
Demand
300 300 300 400
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
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This answer has not been graded yet.
(b) Formulate a linear programming model of the problem. (Let Plant 1 be node 1, Plant 2 be node 2, Plant 3 be node 3, Warehouse 1 be node 4, Warehouse 2 be node 5, Customer 1 be node 6, Customer 2 be node 7, Customer 3 be node 8, and Customer 4 be node 9. Express your answers in the form x;;, where x,; represents the number of units shipped from
node i to node j.)
Min 4x14+8x24+5x34+7x15 +5x25…
A linear programming computer package is needed.
Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. A large profesional organization has scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its
rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and
Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are…
Chapter 2 Solutions
USING + UNDERSTANDING MATH CUSTOM
Ch. 2.A - What does the word per mean? divided by multiplied...Ch. 2.A - Which of the following represents 4 square miles?...Ch. 2.A - If you multiply an area in square feet by a height...Ch. 2.A - There are 1760 yards in a mile. Therefore, one...Ch. 2.A - One square foot is equivalent to 12 square inches...Ch. 2.A - The fact that 1 liter = 1.057 quarts can be...Ch. 2.A - Prob. 7QQCh. 2.A - Prob. 8QQCh. 2.A - Prob. 9QQCh. 2.A - Prob. 10QQ
Ch. 2.A - What are units? Describe the meaning of key worxs...Ch. 2.A - Explain why a unit conversion really involves just...Ch. 2.A - Explain in words or with a picture why there are 9...Ch. 2.A - What are the basic metric units of length, mass,...Ch. 2.A - Prob. 5ECh. 2.A - Describe how to read and use the currency data in...Ch. 2.A - I drove at a speed of 35 miles for the entire...Ch. 2.A - I have a box with a volume of 2 square feet.Ch. 2.A - Prob. 9ECh. 2.A - I know a professional bicyclist who weight 300...Ch. 2.A - My friend ran 10,000 meters in less than an hour.Ch. 2.A - Prob. 12ECh. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - Prob. 17ECh. 2.A - Prob. 18ECh. 2.A - Math Review. The following exercises require the...Ch. 2.A - Prob. 20ECh. 2.A - Prob. 21ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 23ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 25ECh. 2.A - Prob. 26ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 28ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 30ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 32ECh. 2.A - Prob. 33ECh. 2.A - Prob. 34ECh. 2.A - Prob. 35ECh. 2.A - Prob. 36ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 38ECh. 2.A - Prob. 39ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 41ECh. 2.A - Prob. 42ECh. 2.A - Conversions with Square and Cubic Units. 43.Find a...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 45.A new...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 47.An air...Ch. 2.A - Prob. 48ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 50ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 52ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 56ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 58ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 60ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 62ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 64ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 66ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 68ECh. 2.A - Celsius-Fahrenheit Conversions. Convert the...Ch. 2.A - Prob. 70ECh. 2.A - Celsius-Kelvin Conversions. Convert the following...Ch. 2.A - Prob. 72ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 74ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 76ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Professional Basketball Salaries. In the 2012-2013...Ch. 2.A - Full of Hot Air. The average person breathes 6...Ch. 2.A - Busy Reading. Suppose you have a tablet with a...Ch. 2.A - Landscaping Project. Suppose that you are planning...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - The Cullinan Diamond. The Cullinan diamond is the...Ch. 2.A - Prob. 88ECh. 2.A - Prob. 89ECh. 2.A - Prob. 90ECh. 2.A - Use carats and karats, as discussed in the In Your...Ch. 2.A - Prob. 92ECh. 2.A - Metric Area. When the metric system was first...Ch. 2.A - Measuring drops. Medication is often delivered...Ch. 2.A - Prob. 95ECh. 2.A - Drug Dosage. The label on a particular drug...Ch. 2.A - False Advertising? A Goodyear tire commercial...Ch. 2.A - 98. Units on the highway. Next time you are on the...Ch. 2.A - Are the units clear? Find a news story that...Ch. 2.A - Prob. 100ECh. 2.A - Prob. 101ECh. 2.A - South American Adventure. Suppose you are planning...Ch. 2.A - Currency Conversions. Use internet to convert $100...Ch. 2.A - Prob. 104ECh. 2.B - To end up with units of speed, you need to...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - Which of the following is not a unit of energy? a....Ch. 2.B - You want to know how much total energy is required...Ch. 2.B - New Mexico has a population density of about 12...Ch. 2.B - The concentration of carbon dioxide in earth’s...Ch. 2.B - The guidelines for a particular drug specify a...Ch. 2.B - A blood alcohol content (BAC) of 0.08gm/100 ml...Ch. 2.B - Prob. 10QQCh. 2.B - Prob. 1ECh. 2.B - What is energy? List at least three common units...Ch. 2.B - Prob. 3ECh. 2.B - what do we mean by density? What do we mean by...Ch. 2.B - Prob. 5ECh. 2.B - Prob. 6ECh. 2.B - My daily food intake gives me about 10 million...Ch. 2.B - Our utility company charges 10$ per watt for the...Ch. 2.B - The beach ball we played with had a density of 10...Ch. 2.B - Prob. 10ECh. 2.B - The nurse gave a 100-kilogram man twice as large a...Ch. 2.B - Prob. 12ECh. 2.B - An airliner travels 45 miles in 5 minutes. What is...Ch. 2.B - what is the total cost of 1.2 cubic yards of soil...Ch. 2.B - A hose fills a hot tub at a rate of 3.2 gallons...Ch. 2.B - Competition speed skydivers have reached record...Ch. 2.B - How much would you pay for 2.5 ounces of gold at a...Ch. 2.B - Suppose you earn $8.50 per hour and work 24...Ch. 2.B - In 2008,565,650 Americans died of (all forms of)...Ch. 2.B - In 2008, about 310,000 Americans died of sudden...Ch. 2.B - There are approximately 3 million births in the...Ch. 2.B - During a long road trip, you drive 420 miles on a...Ch. 2.B - Prob. 23ECh. 2.B - Prob. 24ECh. 2.B - Prob. 25ECh. 2.B - Prob. 26ECh. 2.B - Prob. 27ECh. 2.B - Prob. 28ECh. 2.B - Prob. 29ECh. 2.B - Prob. 30ECh. 2.B - Prob. 31ECh. 2.B - Prob. 32ECh. 2.B - Prob. 33ECh. 2.B - 34. You can rent a storage locker for $32/yd2 per...Ch. 2.B - Prob. 35ECh. 2.B - Prob. 36ECh. 2.B - Gas mileage actually varies slightly with the...Ch. 2.B - Suppose your car averages 32 miles per gallon on...Ch. 2.B - Greenland ice sheet. The Greenland ice sheet...Ch. 2.B - Volcanic eruption. The greatest volcanic eruption...Ch. 2.B - Prob. 41ECh. 2.B - Prob. 42ECh. 2.B - Your utility company charges 13$ per kilowatt-hour...Ch. 2.B - Energy Savings. For these questions, assume 365...Ch. 2.B - Prob. 45ECh. 2.B - Prob. 46ECh. 2.B - Prob. 47ECh. 2.B - Densities. Compute the following densities using...Ch. 2.B - Densities. Compute the following densities using...Ch. 2.B - Prob. 50ECh. 2.B - 51-52. Medication Doses.
51. The antihistamine...Ch. 2.B - 51-52. Medication Doses.
52. Suppose a dose of...Ch. 2.B - Blood Alcohol Content: Wine. A typical glass of...Ch. 2.B - Prob. 54ECh. 2.B - Prob. 55ECh. 2.B - Prob. 56ECh. 2.B - Prob. 57ECh. 2.B - Prob. 58ECh. 2.B - Prob. 59ECh. 2.B - Prob. 60ECh. 2.B - Prob. 61ECh. 2.B - 62-67: Drug Dosing.
62. Solution Concentrations....Ch. 2.B - 62-67: Drug Dosing.
64. Infusion Rates for...Ch. 2.B - 62-67: Drug Dosing.
65. Infusion Rates for...Ch. 2.B - Prob. 66ECh. 2.B - Drug Dosing. 67. Administering Penicillin. A...Ch. 2.B - Prob. 68ECh. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - Prob. 71ECh. 2.B - Prob. 72ECh. 2.B - Prob. 73ECh. 2.B - Prob. 74ECh. 2.B - Prob. 75ECh. 2.B - Wind Power: One Turbine. Modern wind energy...Ch. 2.B - Prob. 77ECh. 2.B - Prob. 78ECh. 2.B - Prob. 79ECh. 2.B - Fertilizing Winter Wheat. Guidelines for the...Ch. 2.B - Prob. 81ECh. 2.B - Prob. 82ECh. 2.B - Prob. 83ECh. 2.B - 84. Air Pollution. Investigate the average...Ch. 2.B - Alcohol Poisoning. Research some aspects of the...Ch. 2.B - Utility Bill. Analyze a utility bill. Explain all...Ch. 2.C - 1. A quantitative problem from daily life
a....Ch. 2.C - Prob. 2QQCh. 2.C - Prob. 3QQCh. 2.C - Prob. 4QQCh. 2.C - Prob. 5QQCh. 2.C - Prob. 6QQCh. 2.C - Prob. 7QQCh. 2.C - 8. Forty balls numbered 1 through 40 are mixed up...Ch. 2.C - 9. Karen arrives at the subway station every day...Ch. 2.C - Prob. 10QQCh. 2.C - 1. Describe the four steps of problem solving.
Ch. 2.C - Summarize the strategic hints for problem solving...Ch. 2.C - My simple problem-solving recipe will enable you...Ch. 2.C - 4. Whether it’s a problem in mathematics or...Ch. 2.C - The four-step problem-solving method given in this...Ch. 2.C - Prob. 6ECh. 2.C - A Toll Booth. A toll collector on a highway...Ch. 2.C - Prob. 8ECh. 2.C - A Second Race. Jordan and Amari run a 200-meter...Ch. 2.C - Cars and Canaries. Two cars, 360 kilometers apart,...Ch. 2.C - Mixing Marbles. Consider the case in which each of...Ch. 2.C - 12. Coiling Problems. Eight turns of a wire are...Ch. 2.C - 13 Bowed Rail. Suppose a railroad rail is 1...Ch. 2.C - 14. China’s Population. To convince yourself that...Ch. 2.C - Alternative Thinking: The Monk and the Mountain. A...Ch. 2.C - Prob. 16ECh. 2.C - Prob. 17ECh. 2.C - Prob. 18ECh. 2.C - Prob. 19ECh. 2.C - Prob. 20ECh. 2.C - Prob. 21ECh. 2.C - Prob. 22ECh. 2.C - Prob. 23ECh. 2.C - Prob. 24ECh. 2.C - Prob. 25ECh. 2.C - Prob. 26ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Prob. 29ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 33ECh. 2.C - Prob. 34ECh. 2.C - Prob. 35ECh. 2.C - Prob. 36ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 39ECh. 2.C - Prob. 40ECh. 2.C - Prob. 41ECh. 2.C - Prob. 42ECh. 2.C - Prob. 43ECh. 2.C - Prob. 44ECh. 2.C - Prob. 45ECh. 2.C - Prob. 46ECh. 2.C - Prob. 47ECh. 2.C - Prob. 48ECh. 2.C - 49. Textbook Analysis. Although research shows...Ch. 2.C - Prob. 50ECh. 2.C - Prob. 51ECh. 2.C - 52. Multiple Solutions. Find an example of a real...Ch. 2.C - 53. Multiple Strategies. Find an example of a real...Ch. 2.C - Prob. 54E
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