Problem $3\mathrm{.}1(15$ Points$)$Tesla Motors is considering purchasing a new state$-$of$-$the$-$art robotic assembly line to enhance the production of electric vehicle components. The initial cost of the assembly line is $$65,000,$ and it has a useful life of $10$ years. There is no salvage value for the assembly line. Due to the efficiency of the new equipment, labor costs are expected to increase by $$5,000$ per year.However, the company anticipates a reduction in maintenance costs of $$15,000$ per year. The Minimum Attractive Rate of Return $($MARR$)$ for the company is $8\%.(15$ points$)$a$.$ Calculate the IRR $($internal rate of return$)$ of purchasing the new assembly line using interpolation. You must show your work. Hint: Use the MARR as a starting point. $(5$ points$)$Version A: Last Name A$-$GEIN $3354$ Eng. Econ.Spring $2024$b$.$ Calculate the IRR using an Excel function. You must turn in an Excel file. You can use Google Sheets as well. Hint: Use RATE or IRR. $(5$ points$)$c$.$ Based on your calculations in $($a$)$ and $($b$)$ and the MARR stated in the problem, is this a good investment? $(5$ points$)$