A grocery store orders frozen pies in batches from a bakery and sells them in the grocery store. Storing one frozen pie for a year costs $0.65. When the grocery store reorders pies, there is a fixed cost of $1.35 per order as well as $0.45 per pie. Each year, they sell 3000 frozen pies. What is the optimal number of pies to order in each order to minimize their total inventory costs. 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 $4 to store one garment for a year. To reorder more garments from their supplier, Simple Saris pays a fixed fee of $12 per lot as well as a per garment fee of $3. They sell 5000 garments each year. their orders from the supplier. C(x)= _w Find a function that models their total inventory costs (in dollars) as a function of z the lot size for each of A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs 7 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $12 per order as well as $3 per shoe pair. The retail store sells 2250 shoe pairs each year. Find a function that models the total inventory costs as a function of z the number of shoe pairs in each order from the manufacturer