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Problem 59

A model for the US average price of a pound of white sugar from 1993 to 2003 is given by the function $$S(t)=-0.00003237 t^{5}+0.0009037 t^{4}-0.008956 t^{3} +0.03629 t^{2}-0.04458 t+0.4074$$ where $t$ is measured in years since August of $1993 .$ Estimate the times when sugar was cheapest and most expensive during the period $1993-2003 .$

Answer

Most expensive in March $1998 .$ Cheapest in June $1994 .$

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