Consider an inventory system in which each order is for Q units. Instead of the demand

occurring continuously over time $($as in the EOQ model$),$ the customer purchases exactly half

of the inventory exactly halfway through the order cycle and the remaining half exactly at

the end of the order cycle. At that point, a new order is placed, and it arrives instantly.

$($Therefore$,$ there is no time at which the inventory level equals $0.)$ The total demand per

unit time is $\backslash$lambda $,$ just as in the EOQ model, which means that each order cycle has the same

length as in the EOQ model. Draw an inventory level curve for this system. Write a formula

for the cost rate g$($Q$)$ and determine an optimal order quantity