Formulate the mathematical optimization model for a EUCLIDEAN MINSUM

problem for a$,$ b$,$ and c $($you do not have to solve the model but just mathematically formulate it$).$

$5$pts

a$.$ The facility can be located anywhere.

b$.$ The facility must be at least $4$ units from any resource.

c$.$ Including $($b$),$ the facility must be located at or to the right of an x coordinate equal to $5$

AND above any y coordinate equal to $4.$