Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 8, Problem 24P
Summary Introduction
To solve: The problem when the people use straight line to travel and horizontal or vertical grid of roads.
Introduction: The variation between the present value of the
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Create spreadsheets and use Solver to determine the correct volumes to be produced to minimize cost for the following problem. Your company has two trucks that it wishes to use on a specific contract. One is a new truck the company is making payments on, and one is an old truck that is fully paid for. The new truck’s costs per mile are as follows: 54₵ (fuel/additives), 24₵ (truck payments), 36₵ (driver), 12₵ (repairs), and 1₵ (misc.). The old truck’s costs are 60₵ (fuel/additives), 0₵ (truck payments), 32₵ (rookie driver), 24₵ (repairs), and 1₵ (misc.). The company knows that truck breakdowns lose customers, so it has capped estimated repair costs at $14,000. The total distance involved is 90,000 miles (to be divided between the two trucks).
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.
Facility Location. A paper products manufacturer has enough capital to build and
manage some additional manufacturing plants in the United States in order to meet increased
demand in three cities: New York City, NY; Los Angeles, CA; and Topeka, KS. The company is
considering building in Denver, CO; Seattle, WA; and St. Louis, MO.
Max Operating
Capacity
400 tons/day
700 tons/day
Denver
Seattle
$10/ton
$17/tor
$5/ton
$11/ton....
$18/ton....
$28/ton
Los Angeles
Topeka
New York City
Figure 1: Graphical representation of the given data
=
• The cost fi of building plants in these cities is fi
$10,000,000 in Seattle.
Unmet Demand
300 tons/day
100 tons/day
500 tons/day
• Due to geographic constraints, plants in Denver and Seattle would have a maximum operating
capacity kį of 400 tons/day and 700 tons/day respectively.
$5,000,000 in Denver and f2
=
• The cost cij per ton of transporting paper from city i to city j is outlined in Figure 1.
• The unmet demand d, for Los Angeles, Topeka, and New…
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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