SOLUTION: I am maximizing area.The question is what pen width should be used to maximize the pen area? That is what pen width will result in the largest possible pen area? (This is what ques

Question 916227: I am maximizing area.The question is what pen width should be used to maximize the pen area? That is what pen width will result in the largest possible pen area? (This is what question 7 stated. It also said use the trace point on the the graph to point to the location describe in question 7. The problem pen area is 120x-4x^2.

Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we are given,
pen area is 120x-4x^2, then
-4x^2 +120x = 0
divide both sides of = by -4
x^2 -30x = 0
complete the square by using (-15)^2
x^2 -30x +225 = 225
factor polynomial
(x-15)^2 = 225
take the square root of both sides of =
x -15 = 15
x = 30
pen width is 30

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given:
pen area is ... find
set
...factor

solutions:
if => ....we don't need that ..:-)
if => ....this is solution we need,width will result in the largest possible pen area
so, ..max area will be
... plug in

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