SOLUTION: Can somebody help me to solve this, I appreciate it very much. The daily cost of producing x high performance wheels for racing is given by the following function, where no more t

Algebra ->  Finance -> SOLUTION: Can somebody help me to solve this, I appreciate it very much. The daily cost of producing x high performance wheels for racing is given by the following function, where no more t      Log On


   



Question 1113251: Can somebody help me to solve this, I appreciate it very much.
The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 wheels can be produced each day. What production level will give the lowest average cost per wheel? What is the minimum average cost?
C(x)=0.03x^3-4.5x^2+171x; (0,100]

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The average cost per wheel is %280.03x%5E3-4.5x%5E2%2B171x%29%2Fx+=+0.03x%5E2-4.5x%2B171.

That is a quadratic function which is easy to analyze. The minimum cost per wheel is when x+=+-b%2F%282a%29+=+4.5%2F%282%2A0.03%29+=+75.

The minimum average cost is 0.03%2875%5E2%29-4.5%2875%29%2B171+=+2.25.