CU$,$ Incorporated $($CUI$)$ produces copper contacts that it uses in switches and relays. CUI needs to determine the order quantity, Q$,$ to meet the annual demand at the lowest cost. The price of copper depends on the quantity ordered. Here are price$-$break and other data for the problem:

Price of copper $$0\mathrm{.}82$ per pound up to $2,499$ pounds

$$0\mathrm{.}81$ per pound for orders between $2,500$ and $5,000$ pounds

$$0\mathrm{.}80$ per pound for orders greater than $5,000$ pounds

Annual demand $50,000$ pounds per year

Holding cost $20$ percent per unit per year of the price of the copper

Ordering cost $30$

Which quantity should be ordered?