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 $$1\mathrm{.}60$ per minute.

Clients are charged a fee of $$420.$ Company A$\text{'}$s software would reduce the average search time by $19$ minutes, at a cost of

$$3\mathrm{.}50$ per search. Company B$\text{'}$s software would reduce the average search time by $20$ minutes at a cost of $$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.$)$

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

Current

Company A

Company B