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A company projects that its total savings S(in dollars) by converting to asolar-heating system with asolar-collector area A(in m2) will be equal to the formula

A company projects that its total savings S(in dollars) by converting to asolar-heating system with asolar-collector area A(in m2) will be equal to the formula below. Find the area that should give the maximum savings and find the amount of the maximum savings.

s=450A-0.05A3

What is the area that maximizes thesavings?

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