A property title search firm is contemplating using online software to increase the productivity of the researcher performing the search Currently, an average of $58$ minutes is needed to do a title search. The researcher cost is $ $1\mathrm{.}60$ per minute. Clients are charged a fee of $$410.$ Company A$\text{'}$s software would reduce the average search time by $13$ minutes, at a cost of $$3\mathrm{.}80$ per searchCompany B$\text{'}$s software would reduce the average search time by $18$ minutes at a cost of $$5\mathrm{.}80$ per search