Calculate the net present value, profitability index, and internal rate of return.P$5\mathrm{.}42$B $($LO $2,3,4)$ Service Aqua Tech Testing is considering investing in a new testing device. It has two options. Option A would have an initial lower cost but would require a significant expenditure for rebuilding after five years. Option B would require no rebuilding expenditure, but its maintenance costs would be higher. Since the Option B machine is of a higher initial quality, the company expects it to have a salvage value at the end of its useful life. The company provided the following estimates:Initial cost is $90000$ for a for b $170000$Annual cash inflows Is $180000$ for A and for aB it is $140000$ annnual cash outflows is Option A $160000$ Option B $108000$Cost to rebuild $($end of year $5)$for A it is $26,500$ and For b $0.$ Salvage value is $0$ for A and for B is $27\mathrm{.}500$The company's cost of capital is $9\%.$Estimated useful life$8$ years$-0-8$ yearsInstructionsa. Calculate the $(1)$ net present value, $(2)$ profitability index, and $(3)$ internal rate of return for each option. $($Hint: To solve for the internal rate of return, experiment with alternative discount rates to arrive at a net present value of zero.$)$a$.(1)$ NPV A: $$3,473(3)$ IRRB: $12\%$b$.$ Determine which option the company should accept.Calculate the payback period, annual rate of return, and net present value.