Smith Inc $.$ is considering launching a new product. The initial investment for equipment and set$-$up is $$650,000.$ The top management has conducted several trips to different cities to gauge potential demand. These trips have cost the company approximately $$190,000$ so far. The project is expected to last for $6$ years and generate a revenue of $$350,000$ in the first year, which will then increase by $2\%$ each year throughout the entire project. The operating costs are estimated to be $$200,000$ for the first year and will remain constant for the entire project duration. If the project proceeds, the total investment in net working capital will increase by $$80,000$ initially, but the company will recover $50\%$ of this investment at the end of the $5$th year and $30\%$ at the end of $6$th year. The tax rate is $30\%,$ and the CCA rate is $20\%.$ The equipment can be sold for $$190,000$ at the end of the project. To finance the project, the company will borrow $$300,000$ at a $5\%$ interest rate and finance the remaining amount internally. The loan duration will match the project duration $.$The appropriate discount rate for the project is $10\%.$ Determine if the company should undertake this project using NPV analysis. $(10$ marks$)$