the maximum area is at the vertex of the parabola.
That is always at the axis of symmetry, x = -b/2a
In this case, that is at x = 100/4 = 25
2*25^2 - 100*25 = -1250
???
Your function cannot be correct, since it is a parabola opening upward, and thus has no maximum. The coefficient of x^2 must be negative for the function to have a maximum.
David has 200m of fencing to enclose three identicle rectangular pens as shown in the figure. Let x be the length of each pen.
a) express the total area of the pens in terms of x
My answer: 2x^2-100x
(It is correct according to the answer key)
b) find the maximum total area of the pens
????????
Thankyou!!
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