Question: Suppose that the total cost function, in dollars, for the production of x units of a product is given by C(x) = 4000 + 55x

Suppose that the total cost function, in dollars, for the production of x units of a product is given by

C(x) = 4000 + 55x + 0.1x2

Then the average cost of producing x items is

(a) Find the instantaneous rate of change of average cost with respect to the number of units produced, at any level of production.
(b) Find the level of production at which this rate of change equals zero.
(c) At the value found in part (b), find the instantaneous rate of change of cost and find the average cost. What do you notice?

total cost C(x) = 4000 + 55 + 0.1x %3D

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