For Ibuprofen heath knows that:

unit cost: c $=404$ Naira$/$pack

demand: D $=680$ packs$/$year

ordering cost: A $=2100$ Naira$/$order

holding cost: r$*$c $=56$ Naira$/$pack$*$year

How many packs of Ibuprofen should Joshua order to minimize the total cost?

Alan runs a second pharmacy on the other side of town. He has been ordering for each location individually from a wholesaler. He realizes that he can save some money by consolidating the two orders into one single order. The costs per pack for both pharmacies are exactly the same $($use A$,$ c and r$*$c values from Part $1).$ The annual demand for Ibuprofen in the second pharmacy is $840$ packs.

What is the consolidated optimal order quantity $($in packs of Ibuprofen$)?$

If Alan places one consolidated order $($as in Part $2)$ instead of placing two separate orders, how much money will he save? Round to one decimal place