The cost of producing x widgets is modelled by C(x)=10sqrt(x) + 20, where C is in dollars. a)What is the rate of change of the cost with respect to (wrt) the number of units, x, being produced when the production level is 400 widgets?

Question

curry · Answer

Begin by taking the derivative of C(x).

curry · Answer

and then plug in 400.

curry · Answer

So it'd be something like 5/sqrtx --> 5/sqrt 400 = 1/4.

curry · Answer

First derivative always gives rate of change of the value of interest/concern/focus in the problem.