Using discrete available$-$to$-$promise $($ATP$)$ logic, calculate the master production schedule $($MPS$)$ given the following conditions. Complete the table below.

$\backslash$table$[[,$On hand,Period$],[,1,2,3,4,5,],[$Forecast$,,25,20,22,18,15,],[$Orders$,,6,4,5,0,3,],[$Projected available balance,$10,,,,,,],[$Available$-$to$-$pr$)($mise $($discrete$),,,,,,,],[$Master production schedule,,,,,,,$],[$Lot size $=50,$ Safety stock $=5,,,,,,,]]$