Alexandria is evaluating an idea to open her own business. The initial investment is estimated to be $$100,000.$ The investment horizon is $5$ years. She will use a $5-$year straight$-$line depreciation schedule, with an ending book value of zero for the assets. The salvage value for the assets at the end of the project is $$30,000.$ The initial working capital requirement is $$10,000$ and the working capital remains to be $$10,000$ each year. Alexandria expects to generate the revenues of $$80,000$ with the costs of $$20,000$ each year during the $5-$year time period. The tax rate is $21\%.$ Compute the Internal Rate of Return $($IRR$)$ for this investment.