$7-65$: Two mutually exclusive alternatives are being considered. Both have lives of $10$ years. Alternative A has a first cost of $$10,000$ and annual benefits of

$$4500.$ Alternative $B$ costs $$25,000$ and has annual benefits of $$8800.$

If the minimum attractive rate of return is $6\%,$ which alternative should be selected? Solve the problem by

$($a$)$ Present worth analysis

$($b$)$ Annual cash flow analysis

$($c$)$ Rate of return analysis