$6\mathrm{.}3$ Consider an item with $A=$$$25$;$Dv=$$$4,\frac{000}{?}$ year; ${}_{L}v=$$$100$;$B_1=$$$30$; and $r=$

$0\mathrm{.}10\frac{\text{\$}}{\text{\$}}\frac{?}{\text{y}\text{e}\text{a}\text{r}}.$

a$.$ Find the following:

i$.$ EOQ, in dollars

ii$.k,$ using the $B_1$ criterion

iii. SS$,$ in dollars

iv$.$ Annual cost of carrying SS

v$.$ Total average stock, in dollars

vi$.$ Expected number of stockout occasions per year

vii. Expected stockout costs per year