Cash reserves at blue cross and blue shield based on

Question

Question: Cash reserves at blue cross and blue shield based on company financial reports, the cash reserves of blue cross and blue shield as of the beginning of year t is approximated by the function

R(t) = -1.5t⁴ + 14t³ - 25.4t² + 64t + 290               (0 ≤ t ≤ 6)

Where r(t) is measured in millions of dollars and t is measured in years, with t = 0 corresponding to the beginning of 1998.

A. Find the inflection points of r. Hint: use the quadratic formula.

B. Use the result of part (a) to show that the cash reserves of the company was growing at the greatest rate at the beginning of 2002.