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 the 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 $2,0003,0005,0006,0006,0002,000$

Production $$

Ending Inventory $$

Workforce