OptlLux Is considering Investing in an automated manufacturing system. The system requires an Inttial Investment of $$3\mathrm{.}9$ million, has a $20-$year IIfe, and will have zero salvage value. If the system is implemented, the company will save $$560,000$ per year in direct labor costs. The company requires a $10\%$ return from its investments. $($PV of $$1,$ FV of $$1,$ PVA of $$1,$ and FVA of $$1)($Use approprlate factor$($s$)$ from the tables provided.$)$

a$.$ Compute the proposed Investment's net present value.

b$.$ Using the answer from part a$,$ Is the Inv$$stment$\text{'}$s Internal rate of return higher or lower than $10\%?$ Hint. It is not necessary to compute IRR to answer this question.

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Compute the proposed investment's net present value.

Net present value