Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Question
Chapter 8, Problem 37P
a)
Summary Introduction
To determine: The location of each bank.
Introduction: The variation between the present value of the
b)
Summary Introduction
To determine: How the method would result in natural clustering.
Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).
c)
Summary Introduction
To determine: The way to determine whether Person X need more than two dimensions while locating a bank.
Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).
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A company has three warehouses that supply four stores with a given product. Each warehouse has 30 units of the product. Stores 1, 2, 3, and 4 require 20, 25, 30, and 35 units of the product, respectively. The per unit shipping costs from each warehouse to each store are given in the following table. (Let Xij represent the number of units that flow from warehouse i to store j for i = 1, 2, 3 and j = 1, 2, 3, 4.)
Store
Warehouse
1
2
3
4
1
7
6
7
6
2
4
7
6
5
3
6
4
4
4
Solve the problem using Solver. Caution: You should note that the amount of supply at the warehouses is less than the amount of demand at the stores. You will need to address this when structuring the flow balance constraints. (Hint: You want to ship everything from the warehouses even though there will be a demand shortage at the stores).
(X11, X12, X13, X14, X21, X22, X23, X24, X31, X32, X33, X34) = ( ??? )
What is the optimal solution to the modified problem?
(X11, X12, X13, X14, X21, X22, X23, X24, X31,…
A person starting in Columbus must visit Great Falls, Odessa, and Brownsville, and then return home to Columbus in one car trip. The road mileage between the cities is shown.
Columbus
Great Falls
Odessa
Brownsville
Columbus
---
102
79
56
Great Falls
102
---
47
69
Odessa
79
47
---
72
Brownsville
56
69
72
---
a)Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each
b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit.
You are moving away from Bloomington and need to load a truck. The items that will go on the truck must all be packed in boxes. The size (in cubic feet) of each item and each available box are listed in the file P06_95.xlsx. For example, the first item requires 78 cubic feet, and the first box can hold 116 cubic feet of stuff. Develop a linear integer model to find the minimum amount of cubic feet needed to pack all items in boxes.
Assignments:
Item
Box
1
2
3
4
5
6
7
8
9
10
11
Total Cubic Feet: $
Box packing data
Item to pack
Cubic feet
1
78
2
63
3
87
4
56
5
88
6
56
7
75
8
62
9
52
10
71
11
54
Box
Cubic feet
1
116
2
112
3
119
4
167
5
90
6
166
7
112
8
109
Chapter 8 Solutions
Practical Management Science
Ch. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.5 - Prob. 6PCh. 8.5 - Prob. 7PCh. 8.5 - In the lawn mower production problem in Example...Ch. 8.6 - Prob. 9PCh. 8.6 - Prob. 10P
Ch. 8.6 - Prob. 11PCh. 8.6 - Prob. 12PCh. 8.7 - Prob. 13PCh. 8.7 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8.8 - Prob. 16PCh. 8.8 - Prob. 17PCh. 8.8 - Prob. 18PCh. 8.8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 1CCh. 8 - Prob. 2C
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