$16\mathrm{.}9$ Discount$-$Mart $($see Problem $16\mathrm{.}8),$ as part of its new Lean program, has signed a long$-$term contract with Specialty Lighting and will place orders electronically for its halogen lamps. Ordering costs will drop to $$\mathrm{.}50$ per order, but Discount$-$Mart also reassessed its carrying costs and raised them to $$20$ per lamp.

What is the new economic order quantity?

How many orders will now be placed?

What is the total annual cost of managing the inventory with this policy? PX