You stand to receive R$2000$ in the next six years$$ time. You are able to earn $12\%$ per year, compounded monthly. You have an option to sell your windfall earlier. What is the minimum you should accept if you sold it now? $(6)$

$2\mathrm{.}2$ Aisha Khan wants to accumulate R $80000$ in $5$ years for a pilgrimage in the Middle$-$ East. If Aisha$$s bank is paying $12\%$ interest compounded quarterly, how much must she deposit at each $3-$mothn period in a sinking fund to reach her desired goal? $(7)$

$2\mathrm{.}3$ ABI Traders Ltd wholesales beverages and annual sales amount to $900000$ units. Orders are placed in multiples of $300$ units. The purchasing price is R$3$ per unit. The carrying cost of inventory equals $25\%$ of the purchase price of goods. The ordering cost is R$60$ perorder. Three days are required for delivery. The desired safety stock for the firm is $30000$ units. This amount is on hand.

Required:

$2\mathrm{.}3\mathrm{.}1$ Calculate the EOQ for ABI Traders Ltd$.(5)$

$2\mathrm{.}3\mathrm{.}2$ Determine the number of orders to be placed each year. $(4)$

$2\mathrm{.}3\mathrm{.}3$ Determine the reorder point for inventory. $(3)$