Cost of Producing 101st Item | Solve C(x) Function

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Homework Help Overview

The discussion revolves around a cost function for producing a commodity, specifically focusing on determining the cost of producing the 101st item based on the provided cost function C(x) = 369 + 21x - 0.08x^2 + 0.0006x^3.

Discussion Character

  • Exploratory, Problem interpretation

Approaches and Questions Raised

  • Participants explore the definition of "actual cost" and question how to calculate the cost of producing the 101st item by comparing the costs of producing 100 and 101 items. There is a mention of the derivative, with some suggesting it may not be relevant to the arithmetic nature of the problem.

Discussion Status

The discussion includes attempts to clarify the problem and explore different methods of calculation. One participant expresses frustration with obtaining incorrect answers, while another indicates they have resolved their confusion.

Contextual Notes

There is a concern regarding the definition of "actual cost" and how it applies to the problem, as well as a mention of arithmetic versus calculus approaches in solving the question.

invisiblewar
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The cost function for production of a commodity is given below.
C(x) = 369 + 21x - 0.08x^2 + 0.0006x^3

Find the actual cost of producing the 101st item. (Round the answer to the nearest cent.)

i know that
c'(x) = 21-.16x+.0018x^2

but for the life of me cannot figure out how to find the answer
 
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How is "actual cost" defined?
 
How much does it cost to produce 101 items?

How much does it cost to produce 100 items?

So what was the cost of that 101st item?

The derivative is irrelelvant here. This is purely and arithmetic problem.
 
ive tried to just input the number and it keeps telling me that its the wrong answer I've done it every way i know how aghh
 
ooo nevermind, i just got it...i feel dumb lol
 

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