Calculate the NPV and IRR for a project requiring an initial investment of $200,000 and expected to generate cash inflows of $50,000 annually for 6 years. Use a discount rate of 10%. Discuss how these metrics are used in capital budgeting to evaluate the profitability of a project and compare it to alternative investments. Explain the advantages and limitations of using NPV and IRR in investment decision-making. Also, consider the impact of changing economic conditions, such as an increase in the discount rate to 12%, on the project's NPV and IRR. How would this change affect the investment decision, and what does it imply about the project's sensitivity to changes in the discount rate? Additionally, evaluate the project's risk profile and how incorporating a risk-adjusted discount rate might alter the investment decision.