PROBLEM $4.(20$ Pts$.)$ An X product is composed of A$,$ B$,$ C items. The aggregate plan for February and some of the information are provided as follows. Prepare the master production schedule.

$\backslash$table$[[$Aggregate Plan for X $($February$),],[$Production$,3000],[$Demand $($Sales$),2800],[$Starting Inventory,$720],[$Ending Inventory,$600]]$

$\backslash$table$[[$Weeks$,\backslash$table$[[$Weekly Demand for the product Family X$],[($February$)]],\backslash$table$[[$Demand$],[$Ratio$]],\backslash$table$[[$Starting$],[$Inventory$]]],[6,7,8,9],[$Products$],[$A$,600,400,200,200,0\mathrm{.}50,40],[$B$,80,160,240,360,0\mathrm{.}30,280],[C,120,120,140,180,0\mathrm{.}20,400],[\backslash$table$[[$Production$],[$Capacity$]],150pc\frac{s}{D}ay$