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3. The cost (in dollars) of producing x units of a certain commodity is.C()-100+50x-0.02x2(a) Find the average rate of change of C with respect to x when the production level ischanged from x- 100 to 105b) Find the instantaneous rate of change of C with respect to x when x- 100 andinterpret the value of it.

Question
3. The cost (in dollars) of producing x units of a certain commodity is.
C()-100+50x-0.02x2
(a) Find the average rate of change of C with respect to x when the production level is
changed from x- 100 to 105
b) Find the instantaneous rate of change of C with respect to x when x- 100 and
interpret the value of it.
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3. The cost (in dollars) of producing x units of a certain commodity is. C()-100+50x-0.02x2 (a) Find the average rate of change of C with respect to x when the production level is changed from x- 100 to 105 b) Find the instantaneous rate of change of C with respect to x when x- 100 and interpret the value of it.

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Step 1

a) To calculate the average rate of change of C(x) from x1 = 100 and x2 = 105.

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Step 2

Calculate the average rate of change of C(x) as follows.

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Step 3

b) To find the instantaneous rate of change of C with r...

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