Differential Equations with Boundary-Value Problems (MindTap Course List)
9th Edition
ISBN: 9781305965799
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter 11.3, Problem 45E
To determine
The particular solution of the given equation.
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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 11 Solutions
Differential Equations with Boundary-Value Problems (MindTap Course List)
Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - In Problems 712 show that the given set of...Ch. 11.1 - In Problems 712 show that the given set of...Ch. 11.1 - In Problems 712 show that the given set of...
Ch. 11.1 - In Problems 712 show that the given set of...Ch. 11.1 - In Problems 712 show that the given set of...Ch. 11.1 - In Problems 13 and 14 verify by direct integration...Ch. 11.1 - In Problems 13 and 14 verify by direct integration...Ch. 11.1 - Let {n(x)} be an orthogonal set of functions on...Ch. 11.1 - Let {n(x)} be an orthogonal set of functions on...Ch. 11.1 - Let {n(x)} be an orthogonal set of functions on...Ch. 11.1 - From Problem 1 we know that f1(x) = x and f2(x) =...Ch. 11.1 - A real-valued function is said to be periodic with...Ch. 11.1 - A real-valued function is said to be periodic with...Ch. 11.1 - Prob. 21ECh. 11.1 - A real-valued function is said to be periodic with...Ch. 11.1 - A real-valued function is said to be periodic with...Ch. 11.1 - A real-valued function is said to be periodic with...Ch. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Relate the orthogonal set B in Problem 27 with a...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 1–16 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - Prob. 13ECh. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 116 find the Fourier series of f on...Ch. 11.2 - In Problems 17 and 18 sketch the periodic...Ch. 11.2 - In Problems 17 and 18 sketch the periodic...Ch. 11.2 - Use the result of Problem 5 to show that...Ch. 11.2 - Prob. 20ECh. 11.2 - Use the result of Problem 7 to show that...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.3 - In Problems 110 determine whether the function is...Ch. 11.3 - Prob. 2ECh. 11.3 - In Problems 110 determine whether the function is...Ch. 11.3 - In Problems 110 determine whether the function is...Ch. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - In Problems 1124 expand the given function in an...Ch. 11.3 - In Problems 1124 expand the given function in an...Ch. 11.3 - In Problems 1124 expand the given function in an...Ch. 11.3 - In Problems 1124 expand the given function in an...Ch. 11.3 - Prob. 15ECh. 11.3 - In Problems 11-24 expand the given function in an...Ch. 11.3 - Prob. 17ECh. 11.3 - In Problems 11-24 expand the given function in an...Ch. 11.3 - In Problems 11-24 expand the given function in an...Ch. 11.3 - In Problems 1-10 determine whether the function is...Ch. 11.3 - In Problems 1-10 determine whether the function is...Ch. 11.3 - In Problems 1124 expand the given function in an...Ch. 11.3 - In Problems 1124 expand the given function in an...Ch. 11.3 - Prob. 24ECh. 11.3 - In Problems 2534 find the half-range cosine and...Ch. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - In Problems 2534 find the half-range cosine and...Ch. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - In Problems 2534 find the half-range cosine and...Ch. 11.3 - In Problems 2534 find the half-range cosine and...Ch. 11.3 - Prob. 34ECh. 11.3 - In Problems 3538 expand the given function in a...Ch. 11.3 - In Problems 3538 expand the given function in a...Ch. 11.3 - Prob. 37ECh. 11.3 - In Problems 3538 expand the given function in a...Ch. 11.3 - Prob. 39ECh. 11.3 - In Problems 3942 suppose the function y = f(x), 0 ...Ch. 11.3 - In Problems 3942 suppose the function y = f(x), 0 ...Ch. 11.3 - Prob. 42ECh. 11.3 - In Problems 43 and 44 proceed as in Example 4 to...Ch. 11.3 - In Problems 43 and 44 proceed as in Example 4 to...Ch. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Suppose a uniform beam of length L is simply...Ch. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.4 - Consider y + y = 0 subject to y(0) = 0, y(L) = 0....Ch. 11.4 - Consider y + y = 0 subject to the periodic...Ch. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - (a) Find the eigenvalues and eigenfunctions of the...Ch. 11.4 - (a) Find the eigenvalues and eigenfunctions of the...Ch. 11.4 - Laguerres differential equation xy + (1 x)y + ny...Ch. 11.4 - Hermites differential equation y2xy+2ny=0,n=0,1,2,...Ch. 11.4 - Consider the regular Sturm-Liouville problem:...Ch. 11.4 - (a) Find the eigenfunctions and the equation that...Ch. 11.4 - Prob. 13ECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - In Problems 36 expand f(x) = 1, 0 x 2, in a...Ch. 11.5 - In Problems 36 expand f(x) = 1, 0 x 2, in a...Ch. 11.5 - In Problems 7-10 expand the given function in a...Ch. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - In Problems 15 and 16 write out the first five...Ch. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11 - In Problems 16 fill in the blank or answer true or...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Consider the portion of the periodic function f...Ch. 11 - Prob. 19RECh. 11 - Find the eigenvalues and eigenfunctions of the...Ch. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RE
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