The normal time for a work cycle in a worker$-$machine system is $6\mathrm{.}27$ min. For setting the standard time, the PFD allowance factor is $12\%,$ and the machine allowance factor is $25\%.$ The work cycle includes manual elements totaling a normal time of $5\mathrm{.}92$ min, all but $0\mathrm{.}65$ min of which are performed as internal elements. Determine

$($a$)$ The standard time for the cycle

Machine time per cycle in minutes Tm$=$Answer

Internal normal time in minutes Tnwi$=$Answer

Standard time in minutes Tstd$=$Answer

$($b$)$ The daily output at standard performance.

Daily units produced in pieces Qstd