QH: $(8$ marks$)$

An end item's demand forecasts for the next $10$ weeks are $40,40,40,40,30,30,30,30,40$ and

$40$ units. The current on$-$hand inventory is $50$ units. The order policy is to produce in lots of $80.$

The hooked customer orders for the next $10$ weeks are: $15,42,10,45,3,0,10,0,0,$ and $0$ units.

The lead time is I wecks.

a$)$ Develop an MPS for thix item.

b$)$ The marketing department has received five orders for this item in the following

sequence:

Order $1$ is for $20$ units to be delivered in period I

Order $2$ is for $80$ units to be delivered in period $4$

Order $3$ is for $90$ units to be delivered in period $6$

Order $4$ is for $50$ units to be delivered in period $7$

Order $5$ is for $85$ units to be delivered in period $10$

Assuming that the prospective MPS you developed in part $($a$)$ does not change, which

orders would you be able to accept based on the available to promise $($ATP$)?$