$\backslash$table$[[,,,$ible Builc,ites,$],[$Region$,$Sanford,Altamonte,Apopka,Casselberry,Maitland$],[1,x,,$x$,,],[2,$X$,$X$,,$X$,$X$],[3,,x,,x,],[4,,,x,,$X$],[5,x,$X$,,,],[6,,,x,,x($ILP Problem$)$ Health Care Systems of Florida $($HCSF$)$ is planning to build a number of new emergency$-$care clinics in central Florida. HCSF management has divided a map of the area into seven regions. They want to locate the emergency centers so that all seven regions will be conveniently served by at least one facility. Five possible sites are available for constructing the new facilities. The regiona that can be served conveniently by each site are indicated by X in the following table:

$\backslash$table$[[,,,$ble Build,ites,$],[$Region$,$Sanford,Altamonte,Apopka,Casselberry,Maitland$],[1,x,,$x$,,],[2,$X$,$X$,,x,$X$],[3,,$X$,,x,],[4,,,x,,$X$],[5,x,x,,,],[6,,,$x$,,$X$],[7,,,,x,x$