6. The fictional Royal Lobster restaurant chain currently has one restaurant in each of the following locations: Buffalo. New York; Chicago; Atlanta; and Jersey City. New Jersey. The company wants to construct a new central distribution center to process and package ingredients before shipping them to the various restaurants. The annual demand for these ingredients in trailer loads is shown in the following table. The ingredients are transported in 40 -foot truck trailers, each with a capacity of 35,000 pounds. (20pts) a) Using the center-of-gravity method, what is the X and Y coordinates for a possible location for the distribution center. (10 pts) b) What would be other factors to consider for this location decision? ( 5pts) c) What could prevent the company from building the distribution center at the exact (x,y) point determined using the center-of-gravity method? ( 5pts)