Use the table below to answer the following question$($s$).$

Shirley Templeton is a real estate agent for Paralol Realty. Shirley is given the responsibility to manage

potential customers for $5$ of the Realty's bungalows. These $5$ bungalows are situated in close

proximity. In order to make traveling easier, Shirley decides to move to a location closer to the $5$

bungalows. The table below gives the location $($ X and Y coordinates$)$ of the $5$ bungalows along with the

number of trips she would have to make to each bungalow. Create a nonlinear model based on the

data given in the table below noting that the objective is to reduce the weighted distance between

Shirley's accommodation and the $5$ bungalows. $($Use Euclidean distance$)$

According to the model, what is the $x-$coordinate for the location of Shirley's new accommodation?

$23\mathrm{.}12$

$25$

$54\mathrm{.}62$

$36\mathrm{.}53$