Simple Saris is a retailer of women's fashion. They purchase garments in lots from a supplier and then sell them to customers in their store. It costs $9 to store one garment for a year. To reorder more garments from their supplier, Simple Saris pays a fixed fee of $6 per lot as well as a per garment fee of $2. They sell 3000 garments each year.
a. Find a function that models their total inventory costs (in dollars) as a function of x the lot size for each of their orders from the supplier.