The weekly cost for a small confectioner to produce g chocolate bars is C(q) = 1700 + 0.12q + 0.001g?. (a) Find the average cost function. average cost function = (b) Find the marginal cost function. marginal cost function = (c) Compute the average cost and the marginal cost when 500 chocolate bars have been produced. (Round your answers to two decimal places.) average cost 2$ marginal cost $4 What is the actual cost of the 501st chocolate bar?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The weekly cost for a small confectioner to produce q chocolate bars is
C(q) = 1700 + 0.12q+ 0.001q2.
%3D
(a) Find the average cost function.
average cost function =D
(b) Find the marginal cost function.
marginal cost function
%3D
(c) Compute the average cost and the marginal cost when 500 chocolate bars have been produced. (Round your answers to two decimal places.)
average cost
marginal cost
$4
What is the actual cost of the 501st chocolate bar?
Transcribed Image Text:The weekly cost for a small confectioner to produce q chocolate bars is C(q) = 1700 + 0.12q+ 0.001q2. %3D (a) Find the average cost function. average cost function =D (b) Find the marginal cost function. marginal cost function %3D (c) Compute the average cost and the marginal cost when 500 chocolate bars have been produced. (Round your answers to two decimal places.) average cost marginal cost $4 What is the actual cost of the 501st chocolate bar?
Expert Solution
Step 1

Given: The weekly cost function is: Cq=1700+0.12q+0.001q2

To find:

  1. The average cost function.
  2. Marginal cost function. 
  3. Average and marginal costs for 500 chocolates and the actual cost of the 501st chocolate bar. 

 

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