The demand function for a certain product is given by 1000 q + 1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 41 to 99 units. $ p = 500 +

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 demand function for a certain product is given by
1000
q + 1
where p is the price and q is the number of units demanded. Find the average price as demand ranges from 41 to 99 units. (Round your answer to the nearest cent.)
$
p = 500 +
Transcribed Image Text:The demand function for a certain product is given by 1000 q + 1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 41 to 99 units. (Round your answer to the nearest cent.) $ p = 500 +
The cost of producing x smart phones is
C(x) = x² + 800x + 4000.
(a) Use C(x) to find the average cost (in dollars) of producing 1,000 smart phones.
$ 1804
(b) Find the average value (in dollars) of the cost function C(x) over the interval from 0 to 1,000. (Round your answer to two decimal places.)
$
x
Transcribed Image Text:The cost of producing x smart phones is C(x) = x² + 800x + 4000. (a) Use C(x) to find the average cost (in dollars) of producing 1,000 smart phones. $ 1804 (b) Find the average value (in dollars) of the cost function C(x) over the interval from 0 to 1,000. (Round your answer to two decimal places.) $ x
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