Rick Jerz is attempting to perform an inventory analysis on one of his most popular products. Annual demand for this product is $3,000$units; carrying cost is $$$$45$ per unit per$$ year; order costs for his company typically run nearly $$$$20$ per$$ order; and lead time averages $6$ days.$($Assume $250$ working days per$$ year.$)$

Part $2$

$$a$)$ The economic order quantity is $5252$ units$($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ The average inventory is $2626$ units$($round your response to the nearest whole$$ number$).$

Part $4$

$$c$)$ The optimal number of orders per year is $5858$ orders$($round your response to the nearest whole$$ number$).$

Part $5$

$$d$)$ The optimal number of working days between orders is $4\mathrm{.}314\mathrm{.}31$ days $($round your response to two decimal$$ places$).$

Part $6$

$$e$)$ The total annual inventory cost$($carrying cost$+$ordering $$cost$)$ is $$$enter your response here $($round your response to the nearest$$ cent$).$