Walnut Company has forecast sales for the next three months as follows: July $4,700$ units, August $6,900$ units, and September $8,000$ units. Walnut's ending finished goods inventory policy is $50\%$ of the next month's sales. July $1$ inventory is projected to be $2,100$ units. Selling and administrative costs are budgeted to be $$16,000$ per month plus $$14$ per unit sold. What are the budgeted selling and administrative expenses for July?

Multiple Choice

$$81,800$

$$77,300$

$$143,500$

$$84,700$