The standard time for a manual material$-$handling work cycle is $2\mathrm{.}58$ min per piece. The PFD allowance factor used to set the standard was $13\%.$ During a particular $8-$hour shift of interest, it is known that the worker lost a total of $1\mathrm{.}75$ hours due to personal time, rest breaks, and delays plus a long power outage. On that same day, the worker completed $180$ work units. Determine the number of standard hours accomplished on that shift