Minimizing Marginal Cost.

The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost producing the 50th product is $6.20, then it cost $6.20 to increase production from 49 to 50 units of output. 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+19,600

a) How many clubs should be manufactured to minimize the marginal cost?

b) At this level of production what is the marginal cost?

Question

Minimizing Marginal Cost.

The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost producing the 50th product is $6.20, then it cost $6.20 to increase production from 49 to 50 units of output. 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+19,600

a) How many clubs should be manufactured to minimize the marginal cost?

b) At this level of production what is the marginal cost?