The cost (in dollars) of producing x units of a certain commodity is C(x) = 9000 + 10x + 0.15x2. (a) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 103 X per unit Enter a number. (ii) X = 101 per unit (b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.) per unit Enhanced Feedback Please try again. To find the average rate of change, simply divide the difference in cost by the difference in production level. To find the instantaneous rate of change, take the limit of the function for the average rate of change as the production level approaches the desired production level. Recall that lim f(x) – f(a) igives the limit as x< /em> approaches a of the average rate of change of f on the interval [a, x]. -------- ------------- -------- -----------------------

The cost (in dollars) of producing x units of a certain commodity is C(x) = 9000 + 10x + 0.15x2. (a) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (i) X = 103 X per unit Enter a number. (ii) X = 101 per unit (b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.) per unit Enhanced Feedback Please try again. To find the average rate of change, simply divide the difference in cost by the difference in production level. To find the instantaneous rate of change, take the limit of the function for the average rate of change as the production level approaches the desired production level. Recall that lim f(x) – f(a) igives the limit as x< /em> approaches a of the average rate of change of f on the interval [a, x]. -------- ------------- -------- -----------------------

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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