Annual demand for a particular halogen bulb is $4500$ at a business that operates $300$ days per year. The cost per order $$130$ and the holding cost per unit per year is $$3\mathrm{.}7.$ If the lead time is $20$ days, and demand during lead time follows the empirical distribution given in the following table:

Number of Units Probability

$2100\mathrm{.}05$

$2400\mathrm{.}05$

$2700\mathrm{.}25$

$3000\mathrm{.}3$

$3300\mathrm{.}25$

$3600\mathrm{.}05$

$3900\mathrm{.}05$

What is the average demand during lead time? Report as a whole number.

What is the required safetystock to ensure a $65\%$ service level? Report as a whole number.

For a reorder point of $360$ what is the service level?