SOLUTION: APPROXIMATELY HOW MANY UNITS MUST BE MANUFACTURED TO MAXIMISE PROFITS DEFINED BY THE FUNCTION F(X) = -X^2 + 8X-16

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Question 1114607: APPROXIMATELY HOW MANY UNITS MUST BE MANUFACTURED TO MAXIMISE PROFITS DEFINED BY THE FUNCTION F(X) = -X^2 + 8X-16

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Notice the function is a perfect square trinomial! The vertex (maximum point) occurs in the exact middle of the two zeros of the function,... exactly one point.

If the function makes sense for a "profit".
f%28x%29=-1%28x%5E2-8x%2B16%29
f%28x%29=-1%28x-4%29%5E2-----vertex form for the parabola
and the maximum is at the point, (4,0).

Whatever is being manufactured is a money loser.

Answer by ikleyn(52750) About Me  (Show Source):
You can put this solution on YOUR website!
.
This problem is good for the day of April, 1.

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