Question: Suppose that the total cost function, in dollars, for a certain commodity is given by C(x) = 40,500 + 190x + 0.2x2 where x is

Suppose that the total cost function, in dollars, for a certain commodity is given by

C(x) = 40,500 + 190x + 0.2x2

where x is the number of units produced.

(a) Find the instantaneous rate of change of the average Cost

for any level of production.
(b) Find the level of production where 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?

40,500 + 190 + 0.2x

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