Blue Wave Company budgets the following unit sales for the next four months: September, $3,200$ units; October, $4,300$ units; November, $6,200$ units; and December, $7,700$ units. The company's policy is to maintain finished goods inventory equal to $50\%$ of the next month's unit sales. At the end of August, the company had $1,600$ finished units in inventory.

Prepare a production budget for each of the months of September, October, and November.