Annual demand for a particular halogen bulb is $7500$ at a business that operates $300$ days per year. The cost per order $$170$ and the holding cost per unit per year is $$4\mathrm{.}7.$ The stockout cost is $$40/$unit$.$ The lead time is $15$ days, and demand during lead time follows the empirical distribution given in the following table.

Number of Units Probability

$1500\mathrm{.}05$

$2250\mathrm{.}1$

$3000\mathrm{.}2$

$3750\mathrm{.}3$

$4500\mathrm{.}2$

$5250\mathrm{.}1$

$6000\mathrm{.}05$

What is the average demand during lead time?

$375$

Report as a whole number.

What is the average stockout per inventory cycle with a safety stock of $150?$

$188$

Round, if necessary, to two decimal digits.

What is the stockout cost associated with a safety stock of $150$ per inventory cycle?

Round to a whole number.

What is the number of inventory cycles, i$.$e$.$ number of orders, in a year?

Round to a whole number.

What is the annual stockout cost associated with a safety stock of $150?$