Use a $($a$)$ level production strategy and $($b$)$ chase production strategy to compute the monthly production, ending inventory$/($backlog$)$ and workforce levels for the following production plan. Assume that a worker can produce $50$ units per month, the beginning inventory in April is $500$ units, and the firm desires to have $300$ units of inventory at the end of September.

$\backslash$table$[[$Month$,$April,May,June,July,August,September$],[$Demand$,2400,3100,5000,6300,5700,2200],[$Production$,,,,,,],[$Ending Inventory,,,,,,$],[$Workforce$,,,,,,]]$