Operations Management: Sustainability and Supply Chain Management Plus MyLab Operations Management with Pearson eText -- Access Card Package (12th Edition)
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Chapter 8, Problem 20P

a)

Summary Introduction

To determine: The map coordinates where the hub should be located.

b)

Summary Introduction

To determine: The change in coordinates.

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The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.                                                                                                                                                                  a) Near which map coordinates should the hub be located?b) If the shipments from city A triple, how does this change the coordinates?
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 A (300,100) 4 В (400,200) 8 (200,400) 6 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.) b. Which of these locations is best, based on rectilinear distances? Location V 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. (Enter your responses rounded to one decimal place.)
i. Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products
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