SOLUTION: The area of a rectangle with perimeter 100 in. is given by the formula: A=50w-w^2 where w is the width. Find the value of w that produces the maximum area.
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Question 272116: The area of a rectangle with perimeter 100 in. is given by the formula: A=50w-w^2 where w is the width. Find the value of w that produces the maximum area.
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Given, Area A = 50w-w&2
Differentiating withrespect to w, we get
dA/dw= 50-2w
For maximum or minimum value of A,
dA/dw=0
50-2w=0
50=2w
50/2=w
w=25
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