SOLUTION: I need help with this question. I have looked at an example but cant seem to plug the numbers in correctly. A hospital’s revenue (in millions of dollars) is projected to be R(x

Question 1133343: I need help with this question. I have looked at an example but cant seem to plug the numbers in correctly.
A hospital’s revenue (in millions of dollars) is projected to be R(x) = 3x2 - 7x + 1 and its costs (in millions of dollars) are projected to be C(x) = 2x2 + 12x + 14 where x represents the number of years into the future. a. Create the profit function for the hospital. b. What is the average rate of change in the profit from year 3 to year 5?
I know that I am suppose to put Revenue minus the Profit
I need help with this in two days its due! Thank you!
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I hope you don't really mean what you say. Profit is the difference between what you make (revenue) and what your costs are (cost). So profit = revenue minus cost.

You are given the revenue and cost functions; build the profit function P(x) by subtracting the cost function from the revenue function. (Watch your signs when doing the subtraction!)

For the second part, the average rate of change in the profit from year 3 to year 5 is the difference in profit between year 3 and year 5 (P(5)-P(3)), divided by the number of years from year 3 to year 5 (5-3=2).
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