The correct answer is that the new store will have a profit of $ 5400 after its fifth month.
Profit is given by subtracting revenue minus cost:
(RC) (x) = (x² + 5x + 14) - (x²-4x + 5) = x²-x² + 5x - 4x + 14-5 = 5x + 4x + 14 -5 = 9x + 9
Using 5 for x, (RC) (5) = 9 (5) + 9 = 45 + 9 = 54
This is in hundreds of dollars, so it represents $ 5400.
