An operational audit is the most appropriate type of audit engagement to determine how an organization could be more profitable in the long term. Operational audits focus on the efficiency and effectiveness of an organization's operations, processes, and procedures. They assess whether resources are being used optimally to achieve business objectives and identify opportunities for cost savings, process improvements, and enhanced productivity. This type of audit is designed to provide insights and recommendations that can help an organization improve its profitability over the long term by streamlining operations and eliminating inefficiencies.