$2\mathrm{.}5$ A certain part is routed through six machines in a batch production plant. The setup and

operation times for each machine are given in the table below. The batch size is $100$ and the

average nonoperation time per machine is $12$ hours. Determine: $($a$)$ manufacturing lead time and

$($b$)$ production rate for operation $3.$

$2\mathrm{.}6$ Suppose the part in previous Problem $2\mathrm{.}5$ is made in very large quantities on a production

line in which an automated work handling system is used to transfer parts between

machines. Transfer time between stations $=15s.$ The total time required to set up the

entire line is $150$ hours. Assume that the operation times at the individual machines

remain the same. Determine: $($a$)$ manufacturing lead time for a part coming off the line,

$($b$)$ production rate for operation $3,(c)$ theoretical production rate for the entire

production line?

$2\mathrm{.}72\mathrm{.}7.$ The average part produced in a certain batch manufacturing plant must be processed

through an average six machines. Twenty $(20)$ new batches of parts are launched each

week. Average operation time $=6$min., average setup time $=5$ hours, average batch size $=$

$25$ parts, and average nonoperation time per batch $=10h\frac{r}{m}ane.$ There are $18$

machines in the plant. The plant operates an average of $70$ production hours per week.

Scrap rate is negligible. Determine: $($a$)$ manufacturing lead time for an average part, $($b$)$

plant capacity, $($c$)$ plant utilization. $($d$)$ How would you expect the nonoperation time to be

affected by the plant utilization?

$2\mathrm{.}8$ Based on the data in previous Problem $2\mathrm{.}7$ and your answers to that problem, determine

the average level of work$-$in$-$process $($number of parts$-$in$-$process$)$ in the plant.