$19.$ Arizona Instruments uses integrated circuits $($ICs$)$ in its business calculators. Its Arizona Instrumentics is $120,000$ units. The ICs cost Arizont tastruments $10$ each.

The company has determined that the BOO is $20,00$ evil. Catakes $18$ days between when an order is placed and when the delivery is received. Carrying costs are $20$ percent of the inventory value. Determine the following:

a$.$ The optimal ordering frequency

b$.$ The average inventory and annual carrying costs

c$.$ The reorder point

$20.$ General Cereal Company purchases various grains $($for example, wheat and corn$)$ that it processes into ready$-$to$-$eat cereals. Its annual demand for wheat is $250,000$ bushels. Assume that demand is uniform throughout the year. The average price of wheat is $$3\mathrm{.}0625$ per bushel $($delivered$).$ Annual inventory carrying costs are $16$ percent of inventory value. The costs of placing and receiving an order are $$98.$

Assume that inventory replenishment occurs virtually instantaneously. Determine the following:

a$.$ Economic order quantity

b$.$ Total annual inventory costs of this policy

C$.$

Optimal ordering frequency