A part is produced in lots of $1,000$ units. It is assembled from $2$ components worth $$$ $40$ total. The value added in production$($for labor and variable$$ overhead$)$ is $$$ $50$ per$$ unit, bringing total costs per completed unit to $$$$\mathrm{.}90$ The average lead time for the part is $7$ weeks and annual demand is $4,100$units$,$ based on $50$ business weeks per year.

Part $2$

a$.$ How many units of the part are$$ held, on$$ average, in cycle$$ inventory?

$$

$500$ units. $($Enter your response as an$$ integer.$)$

Part $3$

What is the dollar value of this$$ inventory? $$$

$$

$45000.($Enter your response as an$$ integer.$)$

Part $4$

b$.$ How many units of the part are$$ held, on$$ average, in pipeline$$ inventory?

$$

$574$ units. $($Enter your response as an$$ integer.$)$

Part $5$

What is the dollar value of this$$ inventory? $($Hint: Assume that the typical part in pipeline inventory is $50$ percent completed.$$ Thus, half the labor and variable overhead cost has been$$ added, bringing the unit cost to $$$$,$ or $$$ $+$$$/2.)$

The dollar value of the inventory is