Assessing strategies for managing dengue is crucial. While many studies have examined interventions' impact on transmission dynamics, few focus on combining multiple therapeutic approaches. This study presents an epidemic model incorporating vaccination and treatment for infected individuals. It employs ordinary differential equations with seven-state variables, analyzing disease-free and endemic equilibria. Results show the disease-free equilibrium is globally stable when the basic reproduction number is below one. When vaccine effectiveness is low, treatment proves more effective in reducing dengue cases. However, a highly effective vaccine alone significantly reduces dengue occurrences. Additionally, the study introduces an optimal control problem, combining vaccination and treatment. The analysis suggests implementing both strategies is more effective than a single approach in mitigating disease spread.