Prepare a master schedule given this information: The forecast for each week of an eight$-$week schedule is $75$ units. The MPS rule is to schedule production if the projected on$-$hand inventory would be negative without it$.$ Customer orders $($committed$)$ are as follows:

$\backslash$table$[[$Week$,$Customer Orders$],[1,55],[2,36],[3,12],[4,2]]$

Use a production lot size of $78$ units and no beginning inventory.

Note: In the ATP row, enter a value of $0($zero$)$ in any periods where ATP should not be calculated. Leave no cells blank $-$ be certain to enter $"$O$"$ wherever required.

$\backslash$table$[[,$June,July$],[,1,2,3,4,5,6,7,8],[$Forecast$,75,75,75,75,75,75,75,75],[$Customer Orders,$55,36,12,2,0,0,0,0],[$Projected On$-$Hand Inventory,$0,0,0,0,0),0,0,0],[$MPS$,0,0,0,0,0,0,0,0],[$ATP$,0.,0,0,0,0,0,01,0]]$