SOLUTION: A company has determined that when x hundred dulcimers are​ built, the average cost per dulcimer can be estimated by ​C(x)=0.2x(squared)−2.6x+9.950​, where&

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A company has determined that when x hundred dulcimers are​ built, the average cost per dulcimer can be estimated by ​C(x)=0.2x(squared)−2.6x+9.950​, where&      Log On


   

Question 1114812: A company has determined that when x hundred dulcimers are​ built, the average cost per dulcimer can be estimated by ​C(x)=0.2x(squared)−2.6x+9.950​, where​ C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that​ minimum?
The minimum average cost per dulcimer is ​$______. I have gotten this wrong twice and I only have one more try tonight :( There will be another question pop up on the screen after this one, but I am still stuck on this one.
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


The function is quadratic; the minimum value is when x+=+-b%2F%282a%29+=+2.6%2F0.4+=+6.5.

Then just plug that number into the function to find the minimum average cost....

Are you remembering when entering your answer that x is in hundreds? So the number of dulcimers for the minimum average cost is 650, not 6.5....

And likewise, the minimum average cost is in hundreds of dollars....