CK12 Calculus - Single Variable

Solution:
The primaryequationis the functionthat modelsthe area of the pen and that we wish to maximize,

The secondaryequationcomesfrom the informationconcerningthe fencingMaryhas to workwith. In par-
ticular,

Solvingfor we have

We now substituteinto the primaryequationto get

or

It is alwayshelpfulto view the graphof the functionto be optimized.Set the viewingwindowrangeson your
graphingcalculatorto for and for The graphshouldappearas follows: