Please start by c$4,$ then c$3,$ c$2,$ and lastly c$1$: Consider an inventory system in which discounts are given for large ordered quantities. The price schedule is shown in Table $3-13.$ The shortage cost is $$8$ per unit per year and the order cost is $$40$ per order. The inventory carrying cost is $$2$ per unit per year and the annual demand is $5000$ units. Determine the optimum order quantity.

Table $3-13.$