Given the forecast and booked orders shown in the$$ table, and a beginning inventory of$0,$ what is the available to promise inventory for period$3?$ There are no LOT quantity constraints.

Period

$1$

$2$

$3$

$4$

Forecasted Demand

$100$

$100$

$90$

$90$

Booked Orders

$103$

$87$

$54$

$21$

Projected ending inventory

Master production schedule

Available to Promise