Problem $2-8($Algo$)$

A property title search firm is contemplating using online software to increase the productivity of the researcher performing the search. Currently, an average of $63$ minutes is needed to do a title search. The researcher cost is $$2\mathrm{.}00$ per minute. Clients are charged a fee of $$460.$ Company A$\text{'}$s software would reduce the average search time by $18$ minutes, at a cost of $$4\mathrm{.}00$ per search. Company B$\text{'}$s software would reduce the average search time by $23$ minutes at a cost of $$6\mathrm{.}00$ per search.

a$.$ Calculate the productivity in terms of revenue per dollar of input. $($Round your intermediate calculations and final answers to $2$ decimal places.$)$

$\backslash$table$[[$Approach$,\backslash$table$[[$Productivity$],[($Revenue per Dollar Input$)]]],[$Current$,],[$Company A$,],[$Company B$,]]$

b$.$ Which option would have the highest productivity in terms of revenue per dollar of input?

Company A