A property title search firm is contemplating using online software to increase its search productivity. Currently an average of $38$ minutes is needed to do a title search. The researcher cost is $$2\mathrm{.}10$ per minute. Clients are charged a fee of $$350.$ Company $A^{\text{'}}$ s software would reduce the average search time by $9$ minutes, at a cost of $$13\mathrm{.}40$ per search. Company B$\text{'}$s Software would reduce the average search time by $11$ minutes at a cost of $$13\mathrm{.}90$ per search. Compute the productivity in terms of Revenue Per Dollar of Input for each alternative. Round you answer to the nearest penny and give your answer in Dollar$/$Cent format, e$.$g$.4\mathrm{.}75032=4\mathrm{.}75.$

Alt$1$: Use Company A$\text{'}$s Software $-$ Productivity: Revenue Per Dollar of Input $=$$

A

Alt$2$: Use Company B$\text{'}$s Software $-$ Productivity: Revenue Per Dollar of Input $=$$

A