Minimizing manufacturing costs

label Algebra
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schedule 1 Day
account_balance_wallet $5

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?

May 29th, 2015

a.  The minimum marginal cost will occur at the vertex of the parabola

Using the vertex formula, we get

x = -b/2a

= -(-617.4)/2(4.9)

= 617.4/9.8

= 63 clubs

b. C(63) = 4.9(63^2) - 617.4(63) + 19600

= $151.90

May 29th, 2015

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May 29th, 2015
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May 29th, 2015
Sep 19th, 2017
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