2) The distance between two cities in the United States can be approximated by the following formula, where X and Y are the latitude and longitude of city 1 and X2 and Y2 are the latitude and longitude of city 2: 69(X1 X2)2 + (Y-2) Ted's daughter is getting married, and he is inviting relatives from 5 different locations in the United States. The table below shows the latitude and longitude of each of the 5 locations. Location New York lat (X) long (Y) 40.714 -74.006 Maryland 39.026 -77.076 Virginia 37.432 -78.657 Tennessee 35.961 -83.921 Florida 27.499 -82.575 Ted would like to find a wedding location that minimizes the sum of the distances from the wedding site to the five locations. Assuming that the wedding can occur anywhere, find the latitude and longitude of the optimal location. a) (5 points) Write down the distance formula for the following. The first one has been done for you. Distance from the wedding site to New York-69(X-40.714)2 + (Y - (-74.006)) Distance from the wedding site to Maryland Distance from the wedding site to Virginia Distance from the wedding site to Tennessee Distance from the wedding site to Florida- b) (5 points) The objective is to minimize the sum of the distances from the wedding site to the six locations. Write down the objective function.