Question

The cost, in dollars, for production of x units of a commodity is C(x) = 1200 + 12x - 0.1x^2 + 0.0005x^3.

A.) Find C'(100) and interpret its meaning. [C'(x) is called the marginal cost function].

B.) Compare C(100) + C'(100) • 1 to C'(101).