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