Reliable Part Co$.$ Has signed a contract with a farm$-$ equipment manufacturer for $100,000$ parts to be delivered

uniformly over one year. Each part is going to be processed sequentially in three departments $($pressing$,$ drilling,

and grinding$)$ with the following production data. Assume that company operates $250$ days per year.

Departments

Pressing Drilling Grinding

Working time available $/$ day $8$ hours $8$ hours $8$ hours

Processing time $/$ part $4$ min $12$ min $8$ min

Average down time $/$ day $40$ min $80$ min $60$ min

Average non$-$productive $/$ day $15$ min $30$ min $20$ min

Percentage of defectives $3\%9\%5\%$

$($a$)[5$ pts$]$ Determine the working minutes per day, reliability of machines, and actual performance efficiency

for each department.

$($b$)[5$ pts$]$ Determine the required daily production input for each department if all defectives are discarded as

scrap.

$($c$)[5$ pts$]$ Determine the machine fractions required for each department.

$($d$)[5$ pts$]$ The effect on equipment requirement if the company were to go on two shift $(2$x$8$ hrs$/$day$)?$

$($e$)[5$ pts$]$ As a result of a recent preventure$-$maintenance program the average down time in each department

was reduced by $50\%.$ Determine the effect on equipment requirement