with a return of $11\%.$ The cost of the lockbox system is $$12,000$ per year. $($Note: Assume a $365-$day year.$)$

a$.$ What amount of cash will be made available for other uses under the lockbox system?

b$.$ What net benefit $($cost$)$ will the firm realize if it adopts the lockbox system? Should it adopt the proposed lockbox system?

a$.$ The amount of cash that will be made available for other uses under the lockbox system is $$|$

$($Round to the nearest dollar.$)$