$4\mathrm{.}11$ The Bureau of Indian Affairs provides various services to American Indians and Alaska Natives. The Director of Indian Health Services is working with chief physicians at some of the $230$ clinics nationwide to select the better of two medical X$-$ray system alternatives to be located at secondarylevel clinics. At $5\%$ per year, select the more economical system. Solve using $(a)$ tabulated factors, and $(b)$ single$-$cell spreadsheet functions, as instructed.

$\backslash$table$[[$X$-$ray System,Del Medical,Siemens$],[$First cost$,$ $$,-250,000,-224,000$