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

$2000$

$3000$

$5000$

$6000$

$6000$

$2000$

Production

Ending Inventory

Workforce

In a level production strategy, what is monthly production in June?