This question has TWO parts.

16. The table below provides coordinate data (with the origin in the southwest corner of the mapping - so your x coordinate is east of the corner and your 7 coordinate is north of the corner) for five European cities. Demand levels are also provided in the table below.

Location	x coordinate (east west)	y coordinate (north south)	demand
Paris	40	160	10,000
Madrid	50	50	7,000
Berlin	100	200	12,000
Vienna	150	120	4,000
Milan	90	80	8,000

A company is wishing to locate a distribution center so as to minimize distances between these cities and decides to use a Center of Gravity model.

Calculate the Center of Gravity coordinates.

a. Based on the results; we can conclude that the new distribution center will be:

1. South and West of Paris
2. South and West of Berlin
3. South and East of Vienna
4. North and East of Milan

b. Suppose that demand at Milan changes to 5000. Where will the distribution center need to be moved to?

1. Further north and further east
2. Further north and further west
3. Further south and further east
4. Further south and further west