Blue Wave Co$.$ predicts the following unit sales for the coming four months: September, $3,700$ units; October, $4,500$ units; November, $6,700$ units; and December, $8,100$ units. The company$$s policy is to maintain finished goods inventory equal to $60\%$ of the next month$$s sales. At the end of August, the company had $1,500$ finished units on hand.

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