Question

if C(300)=2200 and C'(300)=25
what is the cost of producing 303 items?

using local linear approximation

Answer 1

The linear approximation at \(c=300\) is given by
\[L(x)=f'(c)(x-c)+f(c)\]
So \(f(303)\approx L(303)=f'(300)(303-300)+f(300)\)

Answer 2

awesome! got it, thanks

Answer 3

yw