A salon shampoo supplier presents the following data in respect of their purchases:

$\backslash$table$[[$Annual demand,$200000$ units$],[$Maximum daily requirement,$1500$ units$],[$Average daily requirement,$1050$ units$],[$Carrying cost$,$R $1,50$ per unit$],[$Ordering cost$,$R $40$ per order$],[$Lead time,$12$ days$],[$Time needed to acquire emergency supplies,$3$ days$]]$

NB: Assume that sales are even throughout the year.

$1\mathrm{.}1\mathrm{.}1$ Determine the economic order quantity $($EOQ$).$

$1\mathrm{.}1\mathrm{.}2$ Determine the ordering point.

$1\mathrm{.}1\mathrm{.}3$ Calculate the danger level.

$(5)$

$1\mathrm{.}1\mathrm{.}4$ Discuss the assumptions made by the EOQ model.

$(5)$

$(5)$