What would be the projected on$-$hand inventory quantity at the end of week $3$ while using the following information? Use a fixed production lotsize of $50$ units, beginning inventory for period $1$ is $0$ units, and remember, the MPS rule is to schedule production if the projected on$-$hand inventory would become negative. You may need to use the scroll bar at the bottom of the page to see the entire diagram.

$\backslash$table$[[$Week$,1,2,3,4],[$Forecast$,40,40,40,40],[$Customer Orders,$42,35,20,12],[$Projected On$-$Hand Inventory $(0),,,,],[$MPS$,,,,],[$Available to Promise $($ATP$),,,,]]$