Show me the steps to solve $1.$ Given the following production plan, 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.

Month Jan Feb Mar Apr May Jun

Demand $200030005000600060002000$

Production

Ending Inventory

Workforce

$2.$ Given the following bill of materials for product A with the associated component parts and planning factors $($in parenthesis$),$ how many units of each of the dependent demand items are required to produce one unit of product A$?$

$3.$ What is system nervousness? Discuss how it can be minimized or avoided.