Johnson's Juice sells bottles of "Keep Me Awake During Class" fruit juice to college students. Annual demand is $88,000$ bottles.

The company uses an annual holding cost percentage of $15\mathrm{.}5\%,$ it its setup cost is $$45$ per order. The current price per bottle

from the supplier is $$0\mathrm{.}6,$ and Johnson's Juice resells it to customers for $$2\mathrm{.}00$ each. However, the supplier has

notified Johnson's Juice that starting next week, the purchase price will rise to $$1\mathrm{.}17$ due to tariffs imposed by the

government. Johnson's inventory of bottles is about to be depleted. $($Assume that the bottles are so full of chemicals that the

drinks never expire.$)$

a$.$ Which inventory model fits the best to this problem?

A$.$ One$-$time sale model

B$.$ All$-$units quantity discounts model

C$.$ Incremental quantity discounts model

D$.$ Lumpy demand model

b$.$ Johnson's Juice should purchasebottles in the next order $($round your response to the nearest integer$).($Hint: The answer will be $6$ digits$)$