Minimizing manufacturing costs

Algebra
Tutor: None Selected Time limit: 1 Day

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

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
May 29th, 2015
...
May 29th, 2015
May 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer