Question $3$:

A drugstore uses fixed$-$order cycles for many of the items it stocks. The manager wants a service level of $\mathrm{.}98.$ The order interval is $14$ days, and the lead time is $2$ days. The average demand for one item is $40$ units per day, and the standard deviation of demand is $3$ units per day. The on$-$hand inventory at the reorder time for each order cycle is shown in the following table.

Cycle On hand

$142$

$28$

$3103$

Determine the order quantities for cycles $1,2,$ and $3$: $($Round your answers to the nearest whole number$)$

Cycle Units

$1$

$2$

$3$