Using the provided data, answer all the questions. SHOW ALL YOUR WORK$(FORMULA)$

d $|$Weekly Demand $|\%2000$ units

# weeks per year $||52$ weeks

S $|$ Setup or Order Cost $|$ $$100$

H $|$Holding or Carrying Cost $|10\%$ per unit per year

C $|$Cost of the Item $|$$$10$ per unit

L $|$Lead Time $|2$ weeks

Z $(\mathrm{.}90)|$Desired Service Level of $90\%|1\mathrm{.}3$

$\backslash$sigma $\_$L $|$Standard Deviation of Demand During Lead Time$|200$ units

Using the above data, answer the following questions $($show your work$)$:

Calculate Q$*($economic order quantity$).$

Calculate ROP $($reorder point$)$ with and without safety stock for Reorder Point Model.

Calculate P $($time between orders$)$ for a Fixed Period Model.$s$

Calculate T $($target order$-$up$-$to level$)$ for a Fixed Period Model.