## Related questions with answers

Question

Consider the production of gold during the California gold rush (1848–1888). The production of gold can be modeled by $G(t)=\frac{(25 t)}{\left(t^{2}+16\right)},$ where t is the number of years since the rush began $(0 \leq t \leq 40)$ and G is ounces of gold produced (in millions). Find when the maximum (local and global) gold production occurred, and the amount of gold produced during that maximum.

Solution

VerifiedStep 1

1 of 4Step 1. We are searching for extrema on a bounded interval $[0,40]$. First evaluate at the endpoints

$G(0) = 0, \quad G(40) = 0.62.$

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