Young Co$.$ has budgeted its activity for December according to the following information:

$-$Sales at $$600,000,$ all for cash.

$-$Budgeted depreciation for December is $$12,000.$

$-$The cash balance at December $1$ was $$15,000.$

$-$Selling and administrative expenses are budgeted at $$60,000.$ These are paid in cash as incurred.

$-$Merchandise purchases are budgeted at $$450,000.$ All purchases are paid in cash.

$-$Young desires a minimum cash balance of $$10,000$ at the end of each month.

What is the budgeted cash balance at December ${31}^{st?}?$

$$93,000$

$$105,000$

$$70,000$

$$103,000$