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The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q² + 0.00049³. (a) Find C'(100). Interpret C'(100). O This is the amount of time, in minutes, it takes to produce 100 items. O This is the cost of making 100 items. O This is the number of items that must be produced before the costs reach 100.

The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q² + 0.00049³. (a) Find C'(100). Interpret C'(100). O This is the amount of time, in minutes, it takes to produce 100 items. O This is the cost of making 100 items. O This is the number of items that must be produced before the costs reach 100.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q2 +0.00049³. (a) Find C'(100). Interpret C'(100). O This is the amount of time, in minutes, it takes to produce 100 items. O This is the cost of making 100 items. This is the number of items that must be produced before the costs reach 100. O This is the rate at which costs are increasing with respect to the production level when x = 100. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.) $
Transcribed Image Text:The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q2 +0.00049³. (a) Find C'(100). Interpret C'(100). O This is the amount of time, in minutes, it takes to produce 100 items. O This is the cost of making 100 items. This is the number of items that must be produced before the costs reach 100. O This is the rate at which costs are increasing with respect to the production level when x = 100. O This is the rate at which the production level is decreasing with respect to the cost when x = 100. (b) Find the actual cost of manufacturing the 101st item. (Round your answer to the nearest cent.) $
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