Rauschenberg Manufacturing is investigating which locationswould best position its new plant relative to three importantcustomers? (located in cities? A, B, and? C). As shown in thetable? below, all three customers require multiple dailydeliveries. Management limited the search for this plant to thosethree locations and compiled the following? information:
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Location | Coordinates? (miles) | Deliveries per day |
A | ?(100?,300?) | 9 |
B | ?(500?,200?) | 3 |
C | ?(200?,100?) | 5 |
a. Which of these three locations yields the smallest?load-distance score, based on Euclidean? distances?
Location ____yields the smallest? load-distance score of _____?(Enter your response rounded to one decimal? place.)
b. Which of these locations is? best, based on rectilinear?distances?
Location ____is the? best, yielding a? load-distance score of______?(Enter your response as a whole? number.)
c. What are the coordinates of the center of? gravity?
The center of gravity is x*=_____?miles, y*=____miles. ?(Enteryour responses rounded to one decimal? place.)