$$Please show the complete solution. A company is going to buy a new machine for manufacturing its product. Three machines are available. Cost, operating and other expenses are as follows: :

If the minimum attractive ROR is $\backslash (25\backslash \%\backslash ),$ compare the alternatives based on Incremental Analysis using IRR method. Use $\backslash (15\backslash \%\backslash )$ and $\backslash (40\backslash \%\backslash )$ annual rates.

$1$ST COMPARISON $(30$pts$).$

a$.$ Determine the NPV at $15\backslash \%.$ Blank $1$

b$.$ What is the NPV at $\backslash (40\backslash \%\backslash )?$ Blank $2$

c$.$ Calculate the IRR for this comparison. Blank $\backslash (\backslash$mathbf$\{3\}\backslash )$

$2$ND COMPARISON $(30$pts$).$

a$.$ Determine the NPV at $15\backslash \%.$ Blank $4$

b$.$ What is the NPV at $\backslash (40\backslash \%\backslash )?$ Blank $\backslash (\backslash$mathbf$\{5\}\backslash )$

c$.$ Calculate the IRR for this comparison. Blank $6$

Which machine should the company purchase? $(10$pts$)$ Blank $7$