Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 11.9, Problem 34P
Summary Introduction
Interpretation: Contour lines for the location problem described in Problem 30, needs to be drawn (Refer to Appendix 11-B).
Concept Introduction: The line that passes through or drawn through points having the same value is called a contour line.
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7. The BD restaurant chain purchases materials from four different food suppliers. The
company wants to construct a new central distribution center to process and package
the materials before shipping them to their various restaurants. The suppliers transport
items in 40-foot truck trailers, each with a capacity of 38,000 lbs. The locations of the
four suppliers and the annual number of trailer loads that will be transported to the
distribution center are shown in the following table (distance in miles). Using the
center-of-gravity method, determine a possible location for the distribution center.
A
B
с
D
X
Y
200
200
100
500
250 600
500 300
Load
75
105
135
60
BD wants to evaluate three different sites it has identified for its new distribution center
relative to the four suppliers identified. The coordinates of the three sites under
consideration are as follows:
Site 1: x1 = 360, y₁ = 180
Site 2: X2 = 420, y2 = 450
Site 3: X3 =
250, y3 = 400
Problem 14-10
A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations
of the current plants with their coordinates and volume requirements are given in the following table:
VOLUME
COORDINATES (x, y)
299, 298
380, 462
478, 190
PLANT LOCATION
(PARTS PER YEAR)
4,000
6,000
3,000
Peoria
Decatur
Joliet
Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)
Сх
Cy
Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As
shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the
following information:
Location
Coordinates (miles)
Deliveries per day
(200,100)
(300,100)
(300,300)
A
9
B
5
7
a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances?
Location
V yields the smallest load-distance score of : (Enter your response rounded to one decimal place.)
Chapter 11 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.5 - Prob. 10PCh. 11.6 - Prob. 11P
Ch. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 15PCh. 11.6 - Prob. 16PCh. 11.6 - Prob. 17PCh. 11.6 - Prob. 18PCh. 11.6 - Prob. 19PCh. 11.7 - Prob. 20PCh. 11.7 - Prob. 21PCh. 11.7 - Prob. 22PCh. 11.7 - Prob. 23PCh. 11.8 - Prob. 24PCh. 11.8 - Prob. 25PCh. 11.8 - Prob. 26PCh. 11.8 - Prob. 27PCh. 11.9 - Prob. 28PCh. 11.9 - Prob. 29PCh. 11.9 - Prob. 30PCh. 11.9 - Prob. 31PCh. 11.9 - Prob. 32PCh. 11.9 - Prob. 33PCh. 11.9 - Prob. 34PCh. 11.9 - Prob. 35PCh. 11.9 - Prob. 36PCh. 11.9 - Prob. 37PCh. 11.9 - Prob. 38PCh. 11.10 - Prob. 39PCh. 11.10 - Prob. 40PCh. 11.10 - Prob. 41PCh. 11.11 - Prob. 42PCh. 11.11 - Prob. 43PCh. 11.11 - Prob. 45PCh. 11 - Prob. 46APCh. 11 - Prob. 47APCh. 11 - Prob. 48APCh. 11 - Prob. 49APCh. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Prob. 52APCh. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Prob. 55APCh. 11 - Prob. 56APCh. 11 - Prob. 58AP
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