The Marcella Discount store has annual demand of $10,500$ metres of Super Shag carpet. The annual carrying cost for a metre of this carpet is $$1\mathrm{.}5,$ and the ordering cost is $$325.$ The carpet manufacturer normally charges the store $$8$ per metre for the carpet. However, the manufacturer has offered a discount price of $$6$ per metre if the store will order $4500$ metres.

a$.$ How much should the store order?

b$.$ What will be the total annual inventory cost for that order quantity? $($Round to two decimal places$).$

Use operations and quantitative strategies to solve...