A large law firm uses an average of $40$ boxes of copier paper a day. The firm operates $260$ days a

year. Storage and handling costs for the paper are $ $30$ a year per box, and it costs approximately $ $60$ to

order and receive a shipment of paper.

a$)$ Find the EOQ quantity

b$)$ Compute total annual inventory cost if EOQ quantity is ordered

c$)$ The office manager is currently using an order size of $200$ boxes. Would you

recommend the manager to use the optimal order size instead of $200$ boxes? Justify

your answer