$19$

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 $65$ minutes is needed to do a title search. The researcher cost is $$1\mathrm{.}80$ per minute. Clients are charged a fee

$1\mathrm{.}25$

of $$430.$ Company A$\text{'}$s software would reduce the average search time by $20$ minutes, at a cost of $$3\mathrm{.}50$ per search. Company B$\text{'}$s software would reduce the average search time by $21$ minutes at a cost of $$5\mathrm{.}50$ 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$,$$$,4\mathrm{.}34],[$Company A$,$$$,5\mathrm{.}53],[$Company B$,$$$,5\mathrm{.}72]]$

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

Current

Company A

Company B