Question $4$A company uses $5000$ items per annum which has a price of $$2$ each. The ordering costs are $$150$ per order and holding costs are $$1\mathrm{.}50$ per item per annumA. Calculate the EOQ$(3$ marks$)$B$.$ Using the EOQ as the number of items ordered, calculate the:Number of orders per annum$(1$ mark$)$ii$.$ Average stock iii. iv$.$Annual stock holding cost$(1$ mark$)(2$ marks$)$Annual order costTotal annual inventory cost$(2$ marks$)$vi$.$ Total annual cost of items and inventory$(2$ marks$)(2$ marks$)$C$.$ The company is offered a$5\%$ discount $($discounted price is $ $1\mathrm{.}90)$ for orders of $5000$ and over. Order cost and holding cost remain at $$150$ per order and $$1\mathrm{.}50$ respectively. If the company orders $5000$ items per order, calculate the:i$.$ ii$.$Number of orders per annumAverage stockill. iv$.$Annual stock holding costAnnual order costV$.$vi$.$Annual inventory costTotal annual cost of items and inventoryD. Which of the two quantities should the company decide on to minimise the total annual cost?$(2$ marks$)($Total $25$ marks$)(1$ mark$)(1$ mark$)(2$ marks$)(2$ marks$)(2$ marks$)(2$ marks$)$