Matheson Electronics developed a new electronic device it believes will have broad market appeal. The company gathered the following estimates:The equipment needed to make the device would cost $$168,000$ and have a six$-$year useful life with a salvage value of $$12,000.$Sales in units over the next six years are projected to be as follows:YearSales in Units$18,000213,000315,0004617,000$Production and sales of the device would require working capital of $$48,000$ to be released at the end of the projects life.The device would sell for $$30$ each with a variable cost of $$15$ per unit.Fixed costs for salaries, maintenance, property taxes, insurance, and straight$-$line depreciation on the equipment would total $$132,000$ per year. $($Depreciation is based on cost less salvage value.$)$To gain rapid entry into the market, the company would invest heavily in advertising as follows:YearAmount of Yearly Advertising$12$$ $46,0003$$ $57,00046$$ $47,000$The companys required rate of return is $7\%.$Click here to view Exhibit $14$B$-1$ and Exhibit $14$B$-2,$ to determine the appropriate discount factor$($s$)$ using tables.Required:$1.$ Compute the devices estimated net cash inflow $($incremental contribution margin minus incremental fixed expenses$)$ for each year over the next six years$\mathrm{.}2-$a$.$ Calculate the net present value of the proposed investment$\mathrm{.}2-$b$.$ Should Matheson invest in the new device?