Prepare a master schedule given this information: The forecast for each week of an eight$-$week schedule is $60$ 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:

Week Customer Orders

$152$

$238$

$323$

$412$

Use a production lot size of $100$ units and no beginning inventory.$\backslash$table$[[,$June,July$],[,1,2,3,4,5,6,7,8],[$Forecast$,60,60,60,60,60,60,60,60],[$Customer Orders,$52,38,23,12,0,0,0,],[$Projected On$-$Hand Inventory,,,,,,,,$],[$MPS$,,,,,,,,],[$ATP$,,,,,,,,]]$