Asked by gabby
                A farmer wants to make a rectangular pen for his chickens.  He has 1200 m of fencing. He will use one side of his barn for the pen.  What dimensions will give the maximum area?  What is the maximum area?
            
            
        Answers
                    Answered by
            R_scott
            
    L + 2 W = 1200
A = L * W ... substituting ... a = (1200 - 2 W) * W = 1200 W - 2 W^2
the max area is on the axis of symmetry of the parabola
... Wmax = -b / 2 a = -1200 / (2 * -2) = 300
substitute back to find length and area
    
A = L * W ... substituting ... a = (1200 - 2 W) * W = 1200 W - 2 W^2
the max area is on the axis of symmetry of the parabola
... Wmax = -b / 2 a = -1200 / (2 * -2) = 300
substitute back to find length and area
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