Ted's daughter is getting married, and he is inviting relatives from $15$ different locations in the United States. The DATAfile Wedding gives the longitude, latitude, and number of relatives in each of the $15$ locations. Ted would like to find a wedding location that minimizes the demand$-$weighted distance, where demand is the number of relatives at each location. Assuming that the wedding can occur anywhere, find the latitude and longitude of the optimal location.

Hint: Notice that all longitude values given for this problem are negative. Make sure that you do NOT check the option for Make Unconstrained Variables Non$-$Negative in Solver.

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even. $($Example: $-300)$ Do not round intermediate calculation.

Latitude of the optimal wedding location $=$

Longitude of the optimal wedding location $=$

Total demand$-$weighted distance $=$