Comparing retirement plans. Ellen Honeycut has just graduated from college and is

considering job offers from two companies. Although the salary and insurance benefits are

similar, the retirement programs are not. One firm offers a $401($k$)$ plan that matches

employee contributions with $25$ cents for every dollar contributed by the employee, up to a

$$10,000$ limit$.$ The other firm has a contributory plan that allows employees to contribute

up to $10$ percent of their annual salary through payroll deduction and matches it dollar for

dollar; this plan vests fully after five years. Because Ellen is unfamiliar with these plans,

explain the features of each to her so she can make an informed decision.