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The cost function for a certain commodity is C(a) = 85 + 0.139 - 0.007q2 + 0.0008q3. (a) Find C'(100). 7.13 Interpret C'(100). This is the rate at which the production level is decreasing with respect to the cost when x = 100. This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the number of items that must be produced before the costs reach 100. This is the amount of time, in minutes, it takes to produce 100 items. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.) $ 850 Enhanced Feedback Please try again. For part (a), find the derivative of C and evaluate it for the given value. For part (b), the cost of the nth item is C(n) – C(n – 1). Need Help? Read It

The cost function for a certain commodity is C(a) = 85 + 0.139 - 0.007q2 + 0.0008q3. (a) Find C'(100). 7.13 Interpret C'(100). This is the rate at which the production level is decreasing with respect to the cost when x = 100. This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the number of items that must be produced before the costs reach 100. This is the amount of time, in minutes, it takes to produce 100 items. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.) $ 850 Enhanced Feedback Please try again. For part (a), find the derivative of C and evaluate it for the given value. For part (b), the cost of the nth item is C(n) – C(n – 1). Need Help? Read It

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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 function for a certain commodity is C(a) = 85 + 0.139 - 0.007q2 + 0.0008q3. (a) Find C'(100). 7.13 Interpret C'(100). This is the rate at which the production level is decreasing with respect to the cost when x = 100. This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the number of items that must be produced before the costs reach 100. This is the amount of time, in minutes, it takes to produce 100 items. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.) $ 850 E Enhanced Feedback Please try again. For part (a), find the derivative of C and evaluate it for the given value. For part (b), the cost of the nth item is C(n) – C(n – 1). Need Help? Read It
Transcribed Image Text:The cost function for a certain commodity is C(a) = 85 + 0.139 - 0.007q2 + 0.0008q3. (a) Find C'(100). 7.13 Interpret C'(100). This is the rate at which the production level is decreasing with respect to the cost when x = 100. This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the number of items that must be produced before the costs reach 100. This is the amount of time, in minutes, it takes to produce 100 items. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.) $ 850 E Enhanced Feedback Please try again. For part (a), find the derivative of C and evaluate it for the given value. For part (b), the cost of the nth item is C(n) – C(n – 1). Need Help? Read It
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