# Estimate the times when sugar was cheapest and most expensive during the period 1993-2003. given by the function S(t) = −0.00003237t^5 + 0.0009037t^4 − 0.008956t^3+ 0.03629t^2− 0.04537t+ 0.5051 A...

Estimate the times when sugar was cheapest and most expensive during the period 1993-2003.

given by the function

S(t) = −0.00003237t^5 + 0.0009037t^4 − 0.008956t^3+ 0.03629t^2− 0.04537t + 0.5051

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− 0.04537t + 0.5051

where t is measured in years since August of 1993. (Round your answers to three decimal places.)

t=_________________(cheapest)

t=_________________(most expensive)

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You need to use the derivative of the function S(t) to decide when sugar was the most expensive or the cheapest, during the given period, such that:

`S'(t) = (-0.00003237 t^5 + 0.0009037 t^4- 0.008956 t^3 + 0.03629 t^2 - 0.04537 t + 0.5051)'`

`S'(t) = -0.00016185 t^4 + 0.0036148 t^3 - 0.026868 t^2 + 0.07258 t- 0.04537 `

You should solve the equation

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