Paul Scott has a 2014 Cadillac that he wants to update with a satellite-based emergency response system so that he will have access to roadside assistance should he need it. Adding this feature to his car requires a flat fee of $500, and the service provider requires monthly charges of $20. In his line of work as a traveling salesperson, he estimates that this device can save him time and money, about $35 per month. He plans to keep the car for another 3 years.
a. Calculate the breakeven point for the device in months.
b. Based on a, should Paul have the system installed in his car?