A land title search office had three employees $($each working eight hours per day, for a total payroll cost of $$480/$day$),$ and overhead costs of $$300$ per day. This office processed an average of seven titles each day. Then, the office purchased a computerized title$-$search system that allowed the processing of an average of $12$ titles per day. Although the staff, work hours, and pay were the same, the overhead costs went up to $$600$ per day.

a$-1.$ Calculate the labour productivity in the old and the new systems. $($Round the final answers to $2$ decimal places.$)$

Labour Productivity

Old

$2\mathrm{.}33$

titles per worker per day

New

$4$

titles per worker per day

a$-2.$ How much $($in percentage$)$ has the labour productivity grown? $($Do not round intermediate calculations. Round the final answer to $1$ decimal place.$)$

Growth

$0\mathrm{.}13$

$\%$

b$-1.$ Calculate the multi$-$factor productivity in the old and the new systems. $($Round the final answers to $3$ decimal places.$)$

Multifactor Productivity

Old

$0\mathrm{.}091$

titles per $ cost

New

$0\mathrm{.}114$

titles per $ cost

b$-2.$ How much $($in percentage$)$ has the multi$-$factor productivity grown? $($Do not round intermediate calculations. Round the final answer to $1$ decimal place.$)$

Growth

$20\mathrm{.}4$

$\%$