Rick Jerz is attempting to perform an inventory analysis on one of his most popular products. Annual demand for this product is $4$ comma $000$units; carrying cost is $$$$65$ per unit per$$ year; order costs for his company typically run nearly $$$$35$ per$$ order; and lead time averages $11$ days.$($Assume $250$ working days per$$ year.$)$

Part $2$

$$a$)$ The economic order quantity is

$$

$66$ units$($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ The average inventory is

$$

$33$ units$($round your response to the nearest whole$$ number$).$

Part $4$

$$c$)$ The optimal number of orders per year is

$$

$61$ orders$($round your response to the nearest whole$$ number$).$

Part $5$

$$d$)$ The optimal number of working days between orders is