After working for several years, Alex is planning to save for retirement over the next $30$ years. To do this, she will put $$1,000$ a month in a stock account and $$500$ a month in a bond account. The stock account has an expected return of $12$ percent, and the bond account will pay $4\mathrm{.}8$ percent. When retiring, Alex will combine her money into a single account with a $6$ percent return. How much can she withdraw each month from her account assuming a $25-$year withdrawal period?