Use the following for the next 2 questions: A distribution center is to be built to support 3 markets. A grid is overlaid on the map with a scaling factor of 1 unit = 200 miles and shows that Market 1 is located at (4,5); Market 2 is at (6,4); and Market 3 is at (2,1). Annual volumes to the markets are 90,000 units to Market 1, 120,000 units to Market 2 and 250,000 units to Market 3. Rates to the markets are $1.20/unit/mile to Market 1, $1.50/unit/mile to Market 2, and $1.90/unit/mile to Market 3. 1. What is the optimal location of the distribution center? - (4.2, 4.3) - (3.2, 5.3) - (4.2, 5.3) - (3.2, 2.3) - (5.2, 2.3) - (5.2, 4.3) 2. What is the total network transportation cost if the facility is located at (4,3)? (Hint: Use (4, 3) for your (x-bar, y-bar) coordinates.) - $437,812,682 - $424,988,331 - $419,389,025 - $449,788,061 - $392,399,024 - $406,893,002

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the following for the next 2 questions:

A distribution center is to be built to support 3 markets. A grid is overlaid on the map with a scaling factor of 1 unit = 200 miles and shows that Market 1 is located at (4,5); Market 2 is at (6,4); and Market 3 is at (2,1). Annual volumes to the markets are 90,000 units to Market 1, 120,000 units to Market 2 and 250,000 units to Market 3. Rates to the markets are $1.20/unit/mile to Market 1, $1.50/unit/mile to Market 2, and $1.90/unit/mile to Market 3.

1. What is the optimal location of the distribution center?

- (4.2, 4.3)

- (3.2, 5.3)

- (4.2, 5.3)

- (3.2, 2.3)

- (5.2, 2.3)

- (5.2, 4.3)

2. What is the total network transportation cost if the facility is located at (4,3)? (Hint: Use (4, 3) for your (x-bar, y-bar) coordinates.)

- $437,812,682

- $424,988,331

- $419,389,025

- $449,788,061

- $392,399,024

- $406,893,002

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