Answer:
$423,303.72
Step-by-step explanation:
-The present value factor, v, is given as:
[tex]v=\frac{1}{1+i}[/tex]
where i is the discount rate.
-The net present value can then be calculated as:
[tex]NPV=-C_o+C_fv^t\\\\\\=-45000+30000(0.9091)+520000(0.9091)^2+15000(0.9091)^3\\\\=423303.72[/tex]
Hence, the machine has a net present value of $423,303.72