the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2 (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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2

(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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