Crest Products expects the following sales of its single product:

$\backslash$table$[[,$Units$],[$September$,19,200],[$October$,16,300],[$November$,26,000],[$December$,19,800],[$January$,26,600]]$

Required:

Crest has an ending finished goods inventory policy of $30\%$ of the next month's sales needs. September $1$ inventory is projected to be $6,400$ units. Each finished unit requires $2$ units of Component $x$ and $3$ units of Component $Z.$ August $1$ materials inventory includes $5,000$ units of Component $x$ and $176,000$ units of Component $Z.$ Crest desires to maintain a Component $x$ inventory equal to $10\%$ of next month's production needs and a Component $Z$ inventory equal to $20\%$ of next month's production needs.

a$.$ Prepare a production budget for Crest for the quarter ending December $31.$

$\backslash$table$[[\backslash$table$[[$Crest Products$],[$Production Budget$],[$For the Quarter Ending December $31]]],[,$October,November,December,Total$],[$Budgeted unit sales$],[$Plus: Ending finished goods inventory$],[$Less: Beginning finished goods inventory$],[$Budgeted production $($units$),,,,]]$

b$.$ Prepare a direct materials purchases budget for Component Z for quarter ending December $31.$ Assume a desired ending inventory for Component $Z$ of $14,000$ units at December $31,$ and a constant unit cost of $$4$ per Ib$.$

$\backslash$table$[[\backslash$table$[[$Crest Products$],[$Direct Materials Purchases Budget $($Component Z$)],[$For the Quarter Ending December $31]]],[,$October,November,December,,Total$],[$Budgeted production $($units$)],[$Direct materials requirements per unit$],[$Total direct material needed$],[$Plus: Ending inventory,,$1,,,14,000],[$Less: Beginning inventory,$(11,526),(14,484),(13,104),,11,526],[$Total purchases of Component Z$],[$Cost of Component Z$],[$Budgeted cost of Component Z purchases,,,,$$,792,176]]$