A property title search firm is contemplating using online software to increase its search productivity. Currently an average of $40$ minutes is needed to do a title search. The researcher cost is $$2$ per minute. Clients are charged a fee of $$400.$

Company A$\text{'}$s software would reduce the average search time by $10$ minutes, at a cost of $$3\mathrm{.}50$ per search.

Company B$\text{'}$s software would reduce the average search time by $12$ minutes at a cost of $$3\mathrm{.}60$ per search.

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

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