Math problem help

Question

A model for the average price of a pound of white sugar in a certain country from August 1993 to August 2003 is given by the function

S(t) = -0.00003237t^5 + 0.0009037t^4 - 0.008956t^3+ 0.03629t^2- 0.04597t + 0.4109

where t is measured in years since August of 1993. Estimate the times when sugar was cheapest and most expensive during the period 1993-2003. (Round your answers to three decimal places.)

t = (Cheapest)

t = (Most expensive)

Answer 1

The function is odd. It has local maximums and minimums when the first derivative equals to zero.

Determine these points and you have your answer.