The DeWitt Company has found that the rate of change of its average cost for a product is 100 1 C'(x) 4 where x is the number of units and cost is in dollars. The average cost of producing 4 units is $56.00. (a) Find the average cost function for the product. 1 100 4 (b) Find the average cost of 70 units of the product. (Round your answer to two decimal places $ 47.66

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 DeWitt Company has found that the rate of change of its average cost for a product is
100
1
C'(x)
4
where x is the number of units and cost is in dollars. The average cost of producing 4 units is $56.00.
(a) Find the average cost function for the product.
1
100
4
(b) Find the average cost of 70 units of the product. (Round your answer to two decimal places.)
$ 47.66
Transcribed Image Text:The DeWitt Company has found that the rate of change of its average cost for a product is 100 1 C'(x) 4 where x is the number of units and cost is in dollars. The average cost of producing 4 units is $56.00. (a) Find the average cost function for the product. 1 100 4 (b) Find the average cost of 70 units of the product. (Round your answer to two decimal places.) $ 47.66
Because of job outsourcing, a town predicts that its public school population will decrease at the rate
dN
-400
dx
Vx + 16
where x is the number of years and N is the total school population. If the present population (x = 0) is 9000, what
population size is expected in 9 years?
people
Transcribed Image Text:Because of job outsourcing, a town predicts that its public school population will decrease at the rate dN -400 dx Vx + 16 where x is the number of years and N is the total school population. If the present population (x = 0) is 9000, what population size is expected in 9 years? people
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