Given the following production plan, use a $($a$)$ chase production strategy and $($b$)$ level production strategy to compute the monthly production, ending inventory$/$backlog$,$ and workforce levels. A worker can produce $100$ units per month. Assume beginning inventory as of January is $0,$ and the firm desires to have zero inventory at the end of June.

Month Jan. Feb. Mar. Apr. May Jun.

Demand $200030005000600060002000$

Production

Ending Inventory

Workforce

In a chase production strategy, what is the ending inventory$/$backlog in June?