The work cycle time components in a worker$-$machine system are; $1-$ External work elements Total Normal Time: $0\mathrm{.}42$min

$2-$ Machine processing time: $1\mathrm{.}12$min

$3-$ Internal work elements Total Normal Time: $1\mathrm{.}04$ min

According to this data;

a$)$ Calculate the Standard Time using the tolerance factor of $15\%$ for the worker and $30\%$ for the machine.

b$)$ How many parts are produced per day $($in an $8-$hour shift$)$ based on the eight$-$hour standard performance?

c$)$ If zero tolerance is accepted for the machine, what will be the daily production amount?