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The current research sought to identify a method to calculate agent response time (ART) as a function of inter-arrival time (IAT), which balances human-agent team performance, human engagement, and human workload. A human-in-theloop experiment evaluated human-agent team performance, as measured by team score, human engagement, as measured by the number of manually performed tasks, and workload, as measured through a subjective questionnaire, as a function of IAT and ART combination. Results demonstrated that task IAT strongly correlated with performance, engagement, and workload, while ART strongly related to engagement. Optimization was applied to the resulting data to determine ARTs which maximized performance while sustaining desirable levels of human engagement and workload. The optimization produced an ART function for application in future research to judge the effectiveness of adapting ART to boost human-agent team performance.