The manager at Robert$$s Cigars wants to determine the lowest cost order policy given the following purchase discounts offered: cigar costs are $$4$ each for orders less than $500$; $$3\mathrm{.}50$ each for orders of $5001000$; and $$3\mathrm{.}25$ each for orders greater than $1000.$ The order cost $=$ $$75,$ annual demand forecast $=5500$ cigars, inventory carrying cost $=30\%$ per year. $($Hint: Determine the $3$ EOQs then calculate the total annual inventory costs$).$