Indigo Corporation is considering purchasing a new delivery truck. The truck has many advantages over the con $($not the least of which is that it runs$).$ The new truck would cost $$56,295.$ Because of the increased capacity, red costs, and increased fuel economy, the new truck is expected to generate cost savings of $$8,100.$ At the end of eig company will sell the truck for an estimated $$28,200.$ Traditionally, the company has used a general rule that it sh proposal unless it has a payback period that is less than $50\%$ of the asset's estimated useful life. Kevin Allen, a new suggested that the company should not rely only on the payback approach but should also use the net present valu evaluating new projects. The company's cost of capital is $8\%.$

$($a$)$

Calculate the cash payback period and net present value of the proposed investment. $($If the net present value is negoth negative sign preceding the number e$.$g$.-45$ or parentheses e$.$g$.(45).$ Round cash payback period to $2$ decimal place, es$.125$ calculation purposes, use $5$ decimal places as displayed in the factor table provided, eg$.1\mathrm{.}25124$ and net present vatuet $000$ e$.$g$.5,275.)$