Exercise $10-7$A $($Algo$)$ Using the present value index LO $10-2$ Thornton Company has a choice of two investment alternatives. The present value of cash inflows and outflows for the first alternative is $\backslash (\backslash$$ $205,000\backslash )$ and $\backslash (\backslash$$ $164,000\backslash ),$ respectively. The present value of cash inflows and outflows for the second alternative is $\backslash (\backslash$$ $380,000\backslash )$ and $\backslash (\backslash$$ $302,500\backslash ),$ respectively. Required a$.$ Calculate the net present value of each investment opportunity. Note: Negative amounts should be indicated by a minus sign. b$.$ Calculate the present value index for each investment opportunity. Note: Round "PVI" to $2$ decimal places. c$.$ Indicate which investment will produce the higher rate of return.