$1.$ Show how all the Run Time and Capacity numbers in the process flow diagram in Figure $3($page $7$ of the note$)$ were calculated. There are $6$ Run Time numbers and $6$ Capacity numbers. These calculations are explained in the note. Create a table showing all details. $(24$ pts$)$

$2.$ What is the daily capacity $($in terms of number of customers served$)$ of the dry$-$cleaning process as a whole? Assume each day is $12$ hours long. $(5$ pts$)$

$3.$ Suppose capacity at Pressing is doubled by adding $2$ persons and $2$ pressing machines. What is the new daily capacity $($number of customers served$)$ of the dry$-$cleaning process as a whole? $(6$ pts$)$

$4.$ Customers have been complaining that stains are not removed properly. So the laundry reduces the batch size in pre$-$treatment to $75$ items. Pre$-$treatment still takes $90$ minutes plus $5$ minutes for solvent tank change. Now what is the hourly capacity of pre$-$treatment? How does this impact the overall capacity of the process? $(6$ pts$)$

$5.$ How much does the hourly capacity of the dry$-$cleaning machine change if the batch size is increased to $120$ items from $90$ items? $(5$ pts$)$

$6.$ How much does the hourly capacity of the dry$-$cleaning machine change if tanks are switched only every $5$ runs? $(6$ pts$)$

$7.$ Suppose $200$ customers drop off laundry over a typical $12-$hour day. What is the utilization of each of the different stages of the dry$-$cleaning process? Show in the form of a table. Will there be a problem? Do not consider the changes suggested in questions $3-6.(24$ pts$)$

$8.$ If the average number of clothes per customer increases from $3$ to $4,$ which stages would be most impacted by this? Assume $180$ customers per $12-$hr day as stated in the case. Answer by calculating the utilization at each stage. Is the current system capable of dealing with this increase? $(24$ pts$)$