The total cost (in dollars) of manufacturing x auto body frames is C(x) = 60,000 + 200x. (A) Find the average cost per unit if 500 frames are produced. [Hint: Recall that C(x) is the average cost per unit] (B) Find the average value of the cost function over the interval [0,500]. (C) Discuss the difference between parts (A) and (B). (A) The average cost per unit if 500 frames are produced is $ (B) The average value of the cost function is $ (C) $ $ $☐ is the average cost per unit at a production level of 500 units. is the average value of the total cost as production increases from 0 to 500 units.

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...
Question
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 60,000 + 200x.
(A) Find the average cost per unit if 500 frames are produced. [Hint: Recall that C(x) is the average cost per unit]
(B) Find the average value of the cost function over the interval [0,500].
(C) Discuss the difference between parts (A) and (B).
(A) The average cost per unit if 500 frames are produced is $
(B) The average value of the cost function is $
(C) $
$
$☐
is the average cost per unit at a production level of 500 units.
is the average value of the total cost as production increases from 0 to 500 units.
Transcribed Image Text:The total cost (in dollars) of manufacturing x auto body frames is C(x) = 60,000 + 200x. (A) Find the average cost per unit if 500 frames are produced. [Hint: Recall that C(x) is the average cost per unit] (B) Find the average value of the cost function over the interval [0,500]. (C) Discuss the difference between parts (A) and (B). (A) The average cost per unit if 500 frames are produced is $ (B) The average value of the cost function is $ (C) $ $ $☐ is the average cost per unit at a production level of 500 units. is the average value of the total cost as production increases from 0 to 500 units.
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