SOLUTION: A hospital’s revenue (in millions of dollars) is projected to be R(x) = 16x2 + 7x - 1 and its costs (in millions of dollars) are projected to be C(x) = 12x2 + 12x + 14 where x

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Question 1035424: A hospital’s revenue (in millions of dollars) is projected to be
R(x) = 16x2 + 7x - 1
and its costs (in millions of dollars) are projected to be
C(x) = 12x2 + 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?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. The profit function would be P%28x%29+=+R%28x%29+-+C%28x%29+=+4x%5E2-5x-15.
b.The average rate of change in the profit from year 3 to year 5 is %28P%285%29+-+P%283%29%29%2F%285-3%29+=+%28P%285%29+-+P%283%29%29%2F2+=+54%2F2+=+27, or $27,000,000 per year.