Question $1(10$ points$)$: EOQ Model

A tire store expects to sell approximately $100$ all$-$season tires of a certain make, model, and size next year. Annual holding cost is $$16$ per tire and ordering cost is $$20$ per order. The store operates $360$ days a year and has enough storage space in the back.

a$)$ What is the EOQ?

b$)$ How many times per year would the store reorder if EOQ units are ordered each time?

c$)$ What is the length of time between each two shipments?