An individual, Maya, measures her daily satisfaction using the utility function U(t,c) = t × c, where 't' is hours of free time and 'c' is dollars of consumption. Currently, she has 16 hours of free time and a consumption of $400 per day. She is offered a promotion that would reduce her free time to 14 hours per day but increase her consumption to $500 per day.

Based on this model, should Maya accept the promotion? First, calculate her utility in both scenarios. Then, make a recommendation and justify it using your calculations. Finally, briefly discuss one potential limitation of relying solely on this specific mathematical model to make such a decision.