Using the following formula to perform a cost$-$benefit analysis $($CBA$),$ the company is calculating whether investing in this risk control technology $($NGFW$),$ which costs $$6,000$ annually, is cost$-$effective to mitigate the attack. A positive CBA number indicates a cost$-$effective investment, and a negative number indicates a poor investment.

CBA $=$ ALE$($pre$-$control$)$ ALE$($post$-$control$)$ ACS

Where,

$$ ALE $($pre$-$control$)=$ the annualized loss expectancy of the risk before the implementation of the risk control

$$ ALE $($post$-$control$)=$ the ALE examined after the risk control has been in place for a period of time

$$ Annual Cost $($ACS$)=$ the annual cost of the risk control

Based on the formula, what is the CBA in this scenario? Is it cost$-$effective for the company to invest in this security technology? Explain your reasoning.