Problem$1.$ Consider the process below for the manufacturing of clothes for Zara. Blanks stored in raw material inventory are cutt and then sewed and put in finished goods inventory. There is no buffer between cutting and sewing. The processing time of each activity is deterministic,

$($a$)$ Is this a make$-$to$-$stock or make$-$to$-$order system?

$($b$)$ Is any activity starved or blocked?

$($d$)$ What is the utilization of Cutting?

$($d$)$ How long does it take from the time a blank is pulled from raw material inventory $($Blanks$)$ to the time it is placed in finished goods inventory $($FG$)?$

$($e$)$ Suppose a buffer $($with infinite space$)$ is placed between Cuting and Sewing. Will the capacity of this process increase or decrease? wall the cyde time increase or decrease?