DM Office Products (DMOP) Is a wholesale suppler of office products with one facility In Pennsylvanla. They have decided to bulld a new distribution warehouse in the state of New York to help serve the growing demand in that market. They have four major customers located in Buffalo, Syracuse, Albany, and New York City. Though New York City Is the largest market, It also has the greatest competition, and DMOP Is not a major player there. When DMOP ships an order to a customer, they use their own small fleet of two trucks to deliver, so the cost of delIvery is essentlally the same for a full or partially full truck. The expected number of annual shipments to each city and their coordinates on an x, y grid is shown In the following table. CITY x-COORDINATES y-COORDINATES 850 NUMBER OF SHIPMENTS Buffalo Syracuse Albany New York City 325 78 1,420 2,300 2,275 900 82 630 122 25 62 Use the centrold method to recommend a location for the new warehouse for DMOP. (Round your answers to 1 decimal place.) Cx Cy

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DM Office Products (DMOP) is a wholesale supplier of office products with one facility in Pennsylvania. They plan to build a new distribution warehouse in New York to meet the growing demand there. Their major customers are in Buffalo, Syracuse, Albany, and New York City. Even though New York City is the largest market, it also has the highest competition, making DMOP not a major player there. For deliveries, DMOP uses a small fleet of two trucks which reduces delivery costs significantly.

The expected numbers of annual shipments and coordinates for each city are shown below:

| CITY         | x-COORDINATES | y-COORDINATES | NUMBER OF SHIPMENTS |
|--------------|---------------|---------------|---------------------|
| Buffalo      | 325           | 850           | 78                  |
| Syracuse     | 1,420         | 900           | 82                  |
| Albany       | 2,300         | 630           | 122                 |
| New York City| 2,275         | 25            | 62                  |

The goal is to use the centroid method to determine a location for the new warehouse. Coordinates need to be rounded to one decimal place.

Below is where you can calculate the centroid coordinates (Cx, Cy) for the recommended warehouse location:

Cx: _______
Cy: _______
Transcribed Image Text:DM Office Products (DMOP) is a wholesale supplier of office products with one facility in Pennsylvania. They plan to build a new distribution warehouse in New York to meet the growing demand there. Their major customers are in Buffalo, Syracuse, Albany, and New York City. Even though New York City is the largest market, it also has the highest competition, making DMOP not a major player there. For deliveries, DMOP uses a small fleet of two trucks which reduces delivery costs significantly. The expected numbers of annual shipments and coordinates for each city are shown below: | CITY | x-COORDINATES | y-COORDINATES | NUMBER OF SHIPMENTS | |--------------|---------------|---------------|---------------------| | Buffalo | 325 | 850 | 78 | | Syracuse | 1,420 | 900 | 82 | | Albany | 2,300 | 630 | 122 | | New York City| 2,275 | 25 | 62 | The goal is to use the centroid method to determine a location for the new warehouse. Coordinates need to be rounded to one decimal place. Below is where you can calculate the centroid coordinates (Cx, Cy) for the recommended warehouse location: Cx: _______ Cy: _______
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