SOLUTION: Good evening, i need home help. it is due today. thanks! Callaway Golf Company has determined that the cost, C, of manufacturing x golf clubs may be expressed by the quadractic

Question 1112312: Good evening, i need home help. it is due today. thanks!
Callaway Golf Company has determined that the cost, C, of manufacturing x golf clubs may be expressed by the quadractic function: C(x)=4.9x^2-617.4x+19600
a) how many clubs should be manufactured to minimize the cost
b) at this level of production, what is the cost?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
A quadratic function can be written in the form
,
with constants , , and and ,
and has a minimum at
.
In the case of ,
, and ;
the minimum occurs at ,
and at that point the value of the function is
.

So, the minimum of occurs at , and is .

In reality, it does not make sense for
to be the total cost of manufacturing golf clubs.
It seems more believable that could be the cost per club to manufacture golf clubs.
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