A new computer system will require an initial outlay of $$16,000,$

but it will increase the firm$$s cash flows by $$3,200$ a year for

each of the next $8$ years. a$.$ Calculate the NPV and decide if the

system is worth installing if the required rate of return is $9\%.$

$($Negative amount should be indicated by a minus sign. Do not round

intermediate calculations. Round your answers to $2$ decimal places.$)$

b$.$ Calculate the NPV and decide if the system is worth installing

if the required rate of return is $14\%.($Negative amount should be

indicated by a minus sign. Do not round intermediate calculations.

Round your answers to $2$ decimal places.$)$