A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes

at the store costs $2 per shoe pair for a year. When reordering shoes from the

manufacturer, there is a fixed cost of $36 per order as well as $9 per shoe pair. The

retail store sells 3500 shoe pairs each year. What is the optimal number of shoes to

order in each order to minimize their total inventory costs? What is the total inventory

cost?