$1)$ Table below is for a product with $150$ unit lot size. The current on$-$hand inventory is $110$ units. The product has a $2-$week lead$-$time and a $12-$week planning time fence.

The forecast and demand for the product are shown in the table below:

Week $123456789101112$

Forecast $808080707070707070707070$

Customer Orders $837865614951341711700$

P$1$a$)$ Given this information, develop a realistic master schedule, complete with ATP logic.

P$1$b$)$ Then explain how you would respond to each of the following customer order requests. Show what the master schedule would look like if the order was

accepted.

$($Assume these are independent requests, and do not have cumulative effects.$)$

$20$ units in Week $3$

$40$ units in Week $5$

$120$ units in Week $7$