(b) Find the instantaneous rate cf change of C with respect t i when x = 100, (This is called the marginal cost. Its signil- cance will be explained in Section 3.7.)

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(bj Find the instantaneous rate cf change of C with respect t :
when x = 100. (This is called the marginal cost. Its signil-
cance will be explained in Section 3.7.)
Transcribed Image Text:(bj Find the instantaneous rate cf change of C with respect t : when x = 100. (This is called the marginal cost. Its signil- cance will be explained in Section 3.7.)
45. The cost (in dollars) of producing x units of a certain com-
modity is C(xr) = 5000 + 10x + 0.05x².
(a) Find the average rate of change of C with respect to x when
the production level is changed
(i) from x = 100 to x = 105
(ii) from x = 100 to x = 101
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Transcribed Image Text:45. The cost (in dollars) of producing x units of a certain com- modity is C(xr) = 5000 + 10x + 0.05x². (a) Find the average rate of change of C with respect to x when the production level is changed (i) from x = 100 to x = 105 (ii) from x = 100 to x = 101 || || ||
Expert Solution
Step 1

Given function C(x)=5000+10x+0.05x2

Aim: (a) To find the average rate of change of C with respect of x .

(b) To find the instantaneous rate of change of C with respect of x.

Concept: Average rate of change of C with respect to x  ; when x changes from  x1 to x2 is given as:

Average rate of change=Change in output(C(x))Change in input(x)=C(x2)-C(x1)x2-x1

 

 

 

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