Question 138262
Since this is a quadratic function, the graph is a parabola.  Since the lead coefficient is positive, the graph opens upward.  That means that the vertex of the parabola is the minimum value of the function.


To find the x-coordinate of the vertex of a a parabola {{{f(x)=ax^2+bx+c}}}, calculate {{{x[m]=(-b)/2a}}}.   That will give you the number of clubs to manufacture to minimize the cost.


The cost per club of that many clubs is then given by {{{C(x[m])}}}.  In other words, substitute the value calculated in part a into the function and do the arithmetic.


The cost to produce 0, in other words, the fixed costs is given by {{{C(0)}}}.  Substitute 0 for x in the function and the result will be the fixed cost.