A print shop runs a two$-$station binding line, in which the first station punches

holes in the pages and the second station installs the binders. On average, the punch machine

can process $15,000$ pages per hour, while the binder can process $10,000$ pages per hour. The

shop receives work that requires both punching and binding at a rate of $8,000$ pages per hour.

$($a$)$ Which station is the bottleneck of this line?

$($b$)$ What is the critical work$-$in$-$process of the line?

$($c$)$ If current WIP $=7,$ what are the best case, worst case, and practical worst case cycle times

$($in seconds$)$ of the line?