Inventory management problem: Do a complete $$EOQ with Discount$$ calculation and determine the optimal order quantity. Please show all calculations.

Total Annal Demand $($D$)$ $$4,800$ per year

Carrying Cost $0\mathrm{.}10$ of unit cost

Order Cost $($S$)$ $$120$ per order

Price per unit $($P$)$ P$(100)$ $$350$ per unit based on range

P$(100-199)$ $$325$

P$(200+)$ $$300$