a. Where should they locate the warehouse to minimize the total distance shipments to the retailers will have to travel? Assume for this part that the shipments can travel in a straight line directly from the warehouse to the retailer.

b. Now assume that zoning ordinances prevent them from placing the warehouse within 5 miles of locations D or F. Where should they place the factory in order to minimize distance?

c. gnore the restriction from part (b) for this question. Suppose the retail locations and the factory are in a city whose streets are arranged in a grid. For example, to get from Location A to Location B, one would travel a total of 25 miles (10 over then 15 up). Where should they locate their warehouse?

A clothing retailer is trying to decide where to locate a warehouse that will supply their six locations. They create a map and place their first location (location A) at position (0,0) on the map. Then add the coordinates of the other locations based on that. For example, location B is 10 miles east and 15 miles north of location A, so it's placed at (10,15). Each retailer will need a differing number of shipments from the warehouse per year. The coordinates for the retailers and number of shipments required is provided by the table below: Location A B x-coord 0 10 2 8 4 3 # of shipments 10 15 12 y-coord 0 15 12 4 2 6 8 E 10 5 F A clothing retailer is trying to decide where to locate a warehouse that will supply their six locations. They create a map and place their first location (location A) at position (0,0) on the map. Then add the coordinates of the other locations based on that. For example, location B is 10 miles east and 15 miles north of location A, so it's placed at (10,15). Each retailer will need a differing number of shipments from the warehouse per year. The coordinates for the retailers and number of shipments required is provided by the table below: Location A B x-coord 0 10 2 8 4 3 # of shipments 10 15 12 y-coord 0 15 12 4 2 6 8 E 10 5 F