Annual demand for a particular halogen bulb is $\backslash (\backslash$mathbf$\{3000\}\backslash )$ at a business that operates $300$ days per year. The cost per order $\backslash (\backslash$$ $220\backslash )$ and the holding cost per unit per year is $\backslash (\backslash$$ $4\mathrm{.}3\backslash ).$ The stockout cost is $\backslash (\backslash$$ $40/$ u n i t $\backslash ).$ The lead time is $15$ days, and demand during lead time follows the empirical distribution given in the following table.

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?

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What is the annual holding cost associated with a safety stock of $\backslash (40?\backslash )$

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What is the service level with a safety stock of $\backslash (40?\backslash )$

Round the percentage to a whole number.

What is the reorder point with a safety stock of $\backslash (40?\backslash )$

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What is the average stockout per inventory cycle with a safety stock of $\backslash (\backslash$mathbf$\{40?\}\backslash )$

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a whole number.

What is the stockout cost associated with a safety stock of $40$ per inventory cycle?

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What is the annual stockout cost associated with a safety stock of $\backslash (40?\backslash )$

Round to a whole number.