SOLUTION: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x^2 dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many

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Question 1119852: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x^2
dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? What is the resulting average cost of a device?


Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Quadratic function of the general form  f(x) = ax^2 + bx + c  (with the leading coefficient a > 0)


achieves its minimum at  x= -b%2F%282a%29.


In your case the minimum is achieved at  x = -160%2F%282%2A0.001%29 = -80000.


How they will manage to produce negative number of units, I don't know.


It means that there is an error in your post,  so I spent my time for nothing, working on it.






Plot y = 441000+%2B+160x+%2B+0.001x%5E2

Absurd.