SOLUTION: It cost Acme Manufacturing C dollars per hour to operate its golf ball division. An analyst has determined that C is related to the number of golf balls produced per hour, x, by t

Question 23342: It cost Acme Manufacturing C dollars per hour to operate its golf ball division. An analyst has determined that C is related to the number of golf balls produced per hour, x, by the equations C = 0.009x^2 - 1.8x + 100. What number of balls per hour should Acme produce to minimize the cost per hour of manufacturing these golf balls?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Cost is a quadratic equation with a=0.009, b=-1.8, c=100
The max or min is at x=-b/2a = 1.8/0.018 = 100
You need to produce 100 golf balls per hour.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -0.359999999999999 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -0.359999999999999 is + or - .

The solution is

Here's your graph:

Cheers,
Stan H.
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