Puzzle #218: The Job Offer

You have just been offered a job paying $50,000 per year. You have your choice of two different raise packages. Plan A is a raise of $2,000 per year after every year. Plan B is a raise of $950 per year after every six months. The maximum salary for the position is $60,000 per year.

Assuming you want to make as much money as you can, which plan should you take? Why?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, August 9, 2017 at noon Pacific Time. I will post the answer shortly after.