Use discrete available$-$to$-$promise $($ATP$)$ logic, and the master production schedule $($MPS$)$ for the following information. How many units are available$-$to$-$promise in period $1?$

$\backslash$table$[[,$Periods$],[,1,2,3,4,5,6,,],[$Forecast$,,95,88,83,65,70,77,],[$Orders$,,75,23,18,15,10,0,],[\backslash$table$[[$Projected$],[$Available$],[$Balance$],[($Inventory$)]],13,,,,,,,],[\backslash$table$[[$Master$],[$Production$],[$Schedule$]],,120,120,120,0,120,0,],[\backslash$table$[[$Available$-$to$-],[$Promise$]],,,,,,,,]]$