That's solvable easily with calculus, not sure whether you're supposed to be using it given your heading:
C'(x) = 4.9(2)x - 617
= 9.8x -617.4
at its minimum,
9.8x = 617.4
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) = 4.9^2 - 617.4x + 19,600
How many clubs should be produced to minimize marginal cost?
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