Access over 20 million homework & study documents

100% original answers of the statistics questions.

Content type
User Generated
Subject
Statistics
Type
Homework
Rating
Showing Page:
1/2
408
Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
c. Application 11.2: Distance Measures
What is the distance between (20, 10) and (80, 60)?
Euclidean distance:
22
BABAAB
yyxxd
Rectilinear distance
BABAAB
yyxxd
d. Application 11.3: Load-Distance Method
Management is investigating which location would be best to position its new plant
relative to two suppliers (located in Cleveland and Toledo) and three market areas
(represented by Cincinnati, Dayton, and Lima). Management has limited the search
for this plant to those five locations. The following information has been collected.
Which is best, assuming rectilinear distance?
Location
(x, y) coordinates
Trips/year
Cincinnati
(11,6)
15
Dayton
(6,10)
20
Cleveland
(14,12)
30
Toledo
(9,12)
25
Lima
(13,8)
40
Calculations:
Cincinnati =
15( 0 ) + 20( 9) + 30(9) + 25(8) + 40(4)
=
Dayton =
15( 9) + 20( 0) + 30(10) + 25(5) + 40( 9)
=
Cleveland =
15(9) + 20(10) + 30( 0 ) + 25( 5) + 40(5)
=
Toledo =
15(8) + 20(5) + 30(5) + 25( 0 ) + 40(8)
=
Lima =
15(4 ) + 20(9) + 30(5) + 25(8) + 40( 0 )
=
So the best choice is shifting to Lima since it has the lowest total load distance.
Now how did I calculate all these? Note that in the above table in each row the values
without bracket is the trips per year of corresponding location and the values in the
bracket are the distances of that place from the shifted city (the corresponding city at the
1
st
column).

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/2

Sign up to view the full document!

lock_open Sign Up
Unformatted Attachment Preview
c. Application 11.2: Distance Measures What is the distance between (20, 10) and (80, 60)? Euclidean distance: Rectilinear distance d. Application 11.3: Load-Distance Method Management is investigating which location would be best to position its new plant relative to two suppliers (located in Cleveland and Toledo) and three market areas (represented by Cincinnati, Dayton, and Lima). Management has limited the search for this plant to those five locations. The following information has been collected. Which is best, assuming rectilinear distance? Location (x, y) coordinates Trips/year C ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Just the thing I needed, saved me a lot of time.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4