Problem $1.$ A company decides to establish an EOQ for an item. The annual demand is $500,000$ units, each costing $$9,$ ordering costs are $$35$ per order, and inventory carrying costs are $24\%.$ Calculate the following:

a$)$ The EOQ in units

b$)$ Number of orders per year.

c$)$ Cost of ordering

d$)$ Cost of carrying inventory

e$)$ Total cost

f$)$ If the EOQ changes to $5000$ units what is the difference in ordering cost?

g$)$ What happened to the carrying cost? why?