SOLUTION: A company manufactures lighting fixtures finds its daily production costs to be: C(x) = .25x˛-10x+800 dollars for x fixtures produced daily. Find the minimum daily production cost

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Question 446816: A company manufactures lighting fixtures finds its daily production costs to be:
C(x) = .25x˛-10x+800 dollars for x fixtures produced daily. Find the minimum daily production cost to the company.

I've set it up:
->
simplified:
->

However, I'm not sure if this is the right way to go with this problem.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

You don't need to set
That's only if you want the roots
The minimum of the curve is at
when the form is


This is 20 fixtures daily
Now I find



The minimum daily production cost is $2,800
Here's the plot:

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