The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 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 giv value. (Round your answers to the nearest cent.) 104 (1) $ (ii) $ XY= *F Need Help? 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 Read It per unit Watch It

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 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.)
(O)
104
(1) x = 101
per unit
Submit Answer
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
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Transcribed Image Text:The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 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.) (O) 104 (1) x = 101 per unit Submit Answer 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 Need Help? Read It Watch It View Previous Question Question 18 of Question Home My Assignments a 11 18 of 27 View Next Question 27 Request Extension 7 LC
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