Leaky$$ Pipe, a local retailer of plumbing$$ supplies, faces demand for one of its SKUs at a constant rate of $20,400$ units per year. It costs Leaky Pipe $$$$15$ to process an order to replenish stock and $$$$3\mathrm{.}00$ per unit per year to carry the item in stock. Stock is received $12$ working days after an order is placed. No backordering is allowed. Assume $250$ working days a year.

Part $2$

a$.$ Leaky$$ Pipe's optimal order quantity is $$enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $3$

b$.$ The optimal number of orders per year is $$enter your response here orders. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $4$

c$.$ The optimal interval$($in working$$ days$)$ between orders is $$enter your response here days. $($Enter your response rounded to one decimal$$ place.$)$

Part $5$

d$.$ The demand during lead time is $$enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $6$

e$.$ The reorder point is $$enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $7$

f$.$ The inventory position immediately after an order has been placed is $$enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$