Question $2(3+2+2+2+6=15$ points$)-($Lead time, Reorder Point, Quantity Discounts$)$ You work at an appliance store and realize that the demand is stable and EOQ assumptions are satisfied. You further collect the following data for the bestselling washer:

$-$ Average annual sales $\backslash (=\backslash$mathbf$\{7200\}\backslash )$ units

$-$ Ordering cost $=\backslash$$$30$ per order

$-$ Carrying cost $\backslash (=20\backslash \%\backslash )$ of the item cost per year

$-$ Item cost $=\backslash$$$150$ per unit

$-$ Lead time $\backslash (=5\backslash )$ days

$-$ Working days per year $\backslash (=250\backslash )$

a$)$ After noticing that the store's current inventory policy is suboptimal, you want to impress your manager by making a proposal for improvement. What is the optimal order policy for this washer $($write in the format of $\backslash (\backslash$left$[\backslash$mathrm$\{$R$\},\backslash$mathrm$\{$Q$\}^\{*\}\backslash$right$]\backslash ))?$

b$)$ What is the total ordering cost under the optimal order policy?

c$)$ What is the total holding cost under the optimal order policy?

d$)$ Consider your answers in part b and c$.$ Which one of the following is correct $($circle one$)?$ Explain why?

$-$ Total ordering cost$=$total holding cost

$-$ Total ordering cost$>$total holding cost

$-$ Total ordering cost