Plato Necessities produces camera cases. they have found that the cost, c (x), of making x camera cases is a quadratic function
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So hmm notice the picture below
thus, the perimeter of the gutter is just w + w + l, or 2w +l
thus
take the derivative of A(w), zero it out, check any critical points in the interval of (0, 22), for a maxima
recall, the aluminum sheet is just 22inches long, thus, whatever the "depth" or "w" is, has to be more than 0, and less than 22
thus, the perimeter of the gutter is just w + w + l, or 2w +l
thus
take the derivative of A(w), zero it out, check any critical points in the interval of (0, 22), for a maxima
recall, the aluminum sheet is just 22inches long, thus, whatever the "depth" or "w" is, has to be more than 0, and less than 22