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

Algebra.Com
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)   (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".

-----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(52752)   (Show Source): You can put this solution on YOUR website!
.
This problem is good for the day of April, 1.

------------

        April, 1 is an International Fools' day


                For further info see this Wikipedia article

          https://en.wikipedia.org/wiki/April_Fools%27_Day


RELATED QUESTIONS

determine the roots of f(x)=-x^2=8x-16 Approximately how many units must be... (answered by Alan3354)
Determine the roots of f(x) = -x^2+8x-16. Approximately how many units are must be... (answered by josgarithmetic)
how many units must be manufactured and sold to obtain this maximum,... (answered by MathLover1)
A manufacturer finds that the revenue generated by selling x units of a certain commodity (answered by solver91311)
A manufacturer finds that the revenue generated by selling x units of a certain commodity (answered by edjones)
What value must be defined for f(4) to remove the discontinuity of this function at x=4? (answered by josgarithmetic)
My math problem is broken up into check points in my book. Check point 1) A company... (answered by stanbon)
i have to maximise the revenue function... (answered by josmiceli)
A small manufacturing business is started. Initial cost is $3300.00 The product costs... (answered by ankor@dixie-net.com)