Callaway Golf Company has determined that the marginal cost C of manufacturing x Big Bertha golf clubs may be expressed by the quadratic function C(x)= 4.9x^2 -617.4x +19600.
a. How many clubs should be manufactured to minimize the marginal cost?
b. At this level of production, what is the marginal cost?
a. The minimum marginal cost will occur at the vertex of the parabola
Using the vertex formula, we get
x = -b/2a
= 63 clubs
b. C(63) = 4.9(63^2) - 617.4(63) + 19600
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