Neco 2021 Data Processing Question 21

Company X is evaluating three independent security controls. The firewall prevents a breach with probability \(0.6\) and costs \(\text{₦}200{,}000\). The antivirus prevents a breach with probability \(0.4\) and costs \(\text{₦}120{,}000\). Employee training prevents a breach with probability \(0.5\) and costs \(\text{₦}150{,}000\). Assuming the controls operate independently, the overall breach probability when a set of controls is implemented equals the product of the individual failure probabilities \((1-p)\). Management requires the overall breach probability to be at most \(0.20\). Determine the combination of controls that meets this requirement at the minimum total cost, and state that minimum cost in naira.