• Developed a computational model to analyze a representative economy's labor supply, government taxation, and equilibrium behavior. • Solved non-linear equations to determine equilibrium values for labor supply, consumption, and government spending. • Conducted sensitivity analyses to examine the effects of varying tax rates, marginal utility, and government spending constraints on labor supply. • Optimized tax policy numerically to maximize household utility, using advanced econometric and computational techniques in R. • Produced visualizations and comprehensive written reports using LaTeX to present results and findings effectively.