Cullumber Company is considering a capital investment of $$216,200$ in additional productive facilities. The new machinery is expected to have a useful life of $5$ years with no salvage value. Depreciation is by the straight$-$line method. During the life of the investment, annual net income and net annual cash flows are expected to be $$10,810$ and $$47,000,$ respectively. Cullumber has a $12\%$ cost of capital rate, which is the required rate of return on the investment.Click here to view PV table.$($a$)$Compute the cash payback period. $($Round answer to $1$ decimal place, e$.$g$.10\mathrm{.}5.)$Cash payback periodyearsCompute the annual rate of return on the proposed capital expenditure. $($Round answer to $2$ decimal places, e$.$g$.10\mathrm{.}52\%.)$Annual rate of return$\%($b$)$Using the discounted cash flow technique, compute the net present value. $($If the net present value is negative, use either a negative sign