& Problem 4 E Question Help A larger and more moden main post office is to be co
ID: 419423 • Letter: #
Question
& Problem 4 E Question Help A larger and more moden main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shiftin the population density from where it was 40 years ago, when the current facility was built Annette Werk, ther postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mal source point after relocation Mail Source Point Round trips per day x,y, Coordinates (miles) (6, 4) (12, 10) (9, 5) (13, 3) (9,5) a. Calculate the center of gravity as a possible location for the new facility, (Enter your responses rounded to the nearest whole number) The center of gravity X"coordinate8 The center of gravity "Y" coordinate 11 b. Compare the load-distance scores for the location in part (a) and the current location, using rectilinear distance (Round all intermediate caloulations to the nearest whole number) The load-distance score to M is(Enter your response as an integer) Enter your answer in the answer box and then click Check Answer part remaining Clear All Chock AnswoExplanation / Answer
load distance score = L1 d1 + L2d2 +...Lndn
Distance between M and source point 7 = [ (x1-x2 )2+ (y1-y2)2]1/2
= [ (9-13)2 + (5-3)2]1/2 = (20)1/2 = 4.47
L1 d1 = 4.47x1 = 4.47
Similarly Load distance score = 4.47x1 + 5x0+ 12.8x4+ 5.83x6+3.16x1 +7.21x1+12.16x5 = 161.82
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