Given the following demand information, use

$($a$)$ a chase production strategy and

$($b$)$ a 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 zero, and the firm desires to have zero inventory at the end of June.

$\backslash$table$[[$MONTH$,$JAN,FEB,MAR,APR,MAY,JUN$],[$Demand$,2000,3000,5000,6000,6000,2000],[$Production$,,,,,,],[$Ending Inventory,,,,,,$],[$Workforce$,,,,,,]]$