
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
11th Edition
ISBN: 9780133886818
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Question
Chapter 8.1, Problem 21E
(a)
To determine
The number of distinguishable permutations of the letters in each word.
(b)
To determine
The number of distinguishable permutations of the letters in each word.
(c)
To determine
Find the number of distinguishable permutations of the letters in each word.
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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 8 Solutions
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 1-12, evaluate the factorial or...
Ch. 8.1 - Prob. 11ECh. 8.1 - In Exercises 1 evaluate the factorial or...Ch. 8.1 - How many different types of homes are available if...Ch. 8.1 - A menu offers a choice of 3 salads, 8 main dishes,...Ch. 8.1 - Prob. 15ECh. 8.1 - In a club with 16 members, how many ways can a...Ch. 8.1 - Define permutation in your own words.Ch. 8.1 - Explain the difference between distinguishable and...Ch. 8.1 - Prob. 19ECh. 8.1 - In Example 6, how many unordered 2-letter subsets...Ch. 8.1 - Prob. 21ECh. 8.1 - A printer has 5 A's, 4 B's, 2 C's, and 2 D's. How...Ch. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Life Sciences Drug Sequencing Twelve drugs have...Ch. 8.1 - Prob. 35ECh. 8.1 - Science Conference At an annual college science...Ch. 8.1 - Social Sciences Social Science Experiment In an...Ch. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Union Elections A chapter of union Local 715 has...Ch. 8.1 - Prob. 41ECh. 8.1 - Programming Music A zydeco band from Louisiana...Ch. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - IP Addresses Every computer or other device...Ch. 8.1 - License Plates For many years, the state of...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Traveling Salesman In the famous Traveling...Ch. 8.1 - Prob. 55ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - In how many ways can a hand of 6 red cards he...Ch. 8.2 - Prob. 13ECh. 8.2 - An economics club has 31 members. (a) If a...Ch. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - In Exercises #x2013;24, decide whether each...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Assembly Line Sampling Five items are to be...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Social Sciences Legislative Committee A...Ch. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Passwords A certain website requires users to log...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and yellow apples....Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - Two cards are drawn at random from an ordinary...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Twenty-six slips of paper are each marked with a...Ch. 8.3 - Prob. 22ECh. 8.3 - Discuss the relative merits of using tree diagrams...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - For Exercises 25-28, refer to Example 6 in this...Ch. 8.3 - Prob. 27ECh. 8.3 - For Exercises 25- refer to Example 6 in this...Ch. 8.3 - After studying all night for a final exam, a...Ch. 8.3 - Prob. 30ECh. 8.3 - If the letters l, i, t, t, l, and e are chosen at...Ch. 8.3 - If the letters M, i, s. s. i, s, s, i, p, p, and i...Ch. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Social Sciences Election Ballots Five names are...Ch. 8.3 - Native American Council At the first meeting of a...Ch. 8.3 - Prob. 46ECh. 8.3 - Education At a conference promoting excellence in...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Lottery An article in The New York Times...Ch. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Football During the 1988 college football season,...Ch. 8.3 - Prob. 74ECh. 8.3 - Bingo Bingo has become popular in the United...Ch. 8.3 - Prob. 76ECh. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has 5 children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled times. Find the probabilities of...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - How do you identify a probability problem that...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Quality Control A factory tests a random sample of...Ch. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Pecans Pecan producers blow air through the pecans...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Prob. 37ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Births of Twins The probability that a birth will...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Minority Enrollment According to the U.S....Ch. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 59ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 3ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 5ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 7ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 9ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 11ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 13ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 15ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 17ECh. 8.5 - Suppose one day Mary brings a 2-headed coin and...Ch. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Business and Economics Complaints A local used-car...Ch. 8.5 - Payout on Insurance Policies An insurance company...Ch. 8.5 - Device Failure An insurance policy on an...Ch. 8.5 - Prob. 33ECh. 8.5 - Rating Sales Accounts Levi Strauss and Company...Ch. 8.5 - Prob. 35ECh. 8.5 - Life Sciences Animal Offspring In a certain animal...Ch. 8.5 - Ear Infections Otitis media, or middle ear...Ch. 8.5 - Hospitalization Insurance An insurance policy pays...Ch. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - The Hog Game In the hug game, each player states...Ch. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8 - Refer to the example and find the following. (a)...Ch. 8 - Which policy lends to the lowest expected cost?Ch. 8 - In the example, p1 + p2 + p3 = 0.09 + 0.24 + 0.17...Ch. 8 - Suppose an item to be repaired might need one of n...Ch. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Determine whether each of the following statements...Ch. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Explain under what circumstances a permutation...Ch. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - In Exercises 41 and (a) give a probability...Ch. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Contests At one time, game boards for a United...Ch. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RE
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