Ask Question
15 July, 16:26

George has opened a new store and he is monitoring its success closely.

He has found that this store's revenue each month can be modeled by r (x) = x^2+5x+14 where x represents the number of months since the store opens the doors and r (x) is measured in hundreds of dollars.

He has also found that his expenses each month can be modeled by c (x) = x^2-4x+5 where x represents the number of months the store has been open and c (x) is measured in hundreds of dollars.

What does (r-c) (5) mean about George's new store?

The new store will have a profit of $5400 after its fifth month in business.

The new store will have a profit of $900 after its fifth month in business.

The new store will sell 5400 items in its fifth month in business.

The new store will sell 900 items in its fifth month in business.

+1
Answers (1)
  1. 15 July, 16:53
    0
    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:

    (R-C) (x) = (x²+5x+14) - (x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9

    Using 5 for x,

    (R-C) (5) = 9 (5) + 9 = 45+9 = 54

    This is in hundreds of dollars, so it represents $5400.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be modeled by ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers