$31CU,$ 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:

$\backslash$table$[[$Price of copper,So $82$ per pound up to $2499$ pounds$],[$S$0\mathrm{.}81$ per pound for orders between $2,500$ and $5,000$ pounds$],[$$$0\mathrm{.}80$ per pound for orders grester than $5,000$ pounds$],[$Amual demand,$50,000$ pounds per year$],[$Holding cost$,20$ percent per unit per year of the price of the copper$],[$Ordering cost$,$$$30$