Annual demand for a particular halogen bulb is $1500$ at a business that operates $300$ days per year. The cost per order $$160$ and the holding cost per unit per year is $$4.$ The stockout cost is $$50/$unit$.$ The lead time is $15$ days, and demand during lead time follows the empirical distribution given in the following table.

Number of Units Probability

$300\mathrm{.}05$

$450\mathrm{.}1$

$600\mathrm{.}2$

$750\mathrm{.}3$

$900\mathrm{.}2$

$1050\mathrm{.}1$

$1200\mathrm{.}05$

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

What is the average demand during lead time? Round to a whole number.

What is the annual holding cost associated with a safety stock of $30?$ Round to a whole number.

What is the service level with a safety stock of $30?$ Round the percentage to a whole number.

What is the reorder point with a safety stock of $30?$ Round to a whole number.

What is the average stockout per inventory cycle with a safety stock of $30?$ Round to a whole number.

What is the stockout cost associated with a safety stock of $30$ per inventory cycle? Round to a whole number.

What is the annual stockout cost associated with a safety stock of $30?$