Problem III $(5$ points$)$

A company has set up the following master schedule record for one of her product $"\backslash ($ X $\backslash )".$ The firm needs to complete the projected ending inventory and available$-$to$-$promise calculations.

$($a$)$ Complete the following master schedule record. $(2$P$)$

$($b$)$ Suppose that the company accepts a new order for a customer that needs $100$ units as soon as possible. Recalculate the booked orders, the projected ending inventory, and available to promise numbers. When can the firm ship the required new demand? $(3$P$)$