IM$\mathrm{.}82$ A distributor of industrial equipment purchases specialized compressors for use in air conditioners. The regular price is $\backslash (\backslash$$ $60\backslash ),$ however, the manufacturer of this compressor offers quantity discounts per the following discount schedule: The distributor pays $\backslash (\backslash$$ $72\backslash )$ each time it places an order with the manufacturer. Holding costs are negligible $($none$)$ but they do earn $\backslash (14\backslash \%\backslash )$ annual interest on all cash balances $($meaning there will be a financial opportunity cost when they put cash into inventory$).$ Annual demand is expected to be $5,750$ units.When there is a $\backslash (1\mathrm{.}00\backslash \%\backslash )$ discount $($Option Plan C$,$ the third row of the schedule listed above$),$ what is the adjusted order quantity? $($Display your answer to the nearest whole number.$)$ Based on your answer to the previous question, and based on the annual demand as stated above, what will be the annual ordering costs? $($Display your answer to the nearest whole number.$)$ Using the adjusted order quantity as determined above $($two questions back$),$ what will be the average number of units held in inventory? $($Display your answer to the nearest whole number.$)$ Using the adjusted order quantity as determined above $($three questions back$),$ and assuming a materials cost for the given discount, what will be the annual holding cost? $($Display your answer to the nearest whole number.$)$ Using the adjusted order quantity as determined above $($four questions back$),$ and assuming a materials cost for the given discount what will be the total annual inventory cost? $($Display your answer to the nearest whole number.$)$