$1\mathrm{.}3$ A car manufacturer in Rosslyn Pretoria produces subcomponents at a rate of $80$ units per day and uses these subcomponents at a rate of $12000$ units annually. Holding cost is R$60$ per unit per year, the cost of setting up for production is R$100$ and the company has a work year of $300$ days.

$1\mathrm{.}3\mathrm{.}1$ Determine the optimal order quantity. $(3)$

$1\mathrm{.}3\mathrm{.}2$ Determine the average inventory that will be in stock in the company. $(2)$

$1\mathrm{.}3\mathrm{.}3$ Calculate the number of setups that will be made at the company every year. $(1)$

$1\mathrm{.}3\mathrm{.}4$ Calculate the cost of holding inventory. $(2)$

$1\mathrm{.}3\mathrm{.}5$ Calculate the cost of setting up for production