A manufacturer of heavy machinery has analyzed data for 10 weeks of production. She estimates that the marginal cost for producing a units in a week, in thousands of dollars, is C'(x) = 90e-x/100 Given that the fixed costs for a week are 2 million dollars, find the total cost of producing 100 units. (You can enter your answer in terms of e.) The total cost would be
A manufacturer of heavy machinery has analyzed data for 10 weeks of production. She estimates that the marginal cost for producing a units in a week, in thousands of dollars, is C'(x) = 90e-x/100 Given that the fixed costs for a week are 2 million dollars, find the total cost of producing 100 units. (You can enter your answer in terms of e.) The total cost would be
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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![A manufacturer of heavy machinery has analyzed data for 10 weeks of production. She estimates that the marginal cost for producing \( x \) units in a week, in thousands of dollars, is
\[ C'(x) = 90e^{-x/100}. \]
Given that the fixed costs for a week are 2 million dollars, find the total cost of producing 100 units. (You can enter your answer in terms of \( e \).)
The total cost would be \_\_\_\_\_\_ .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97f77314-22cd-4899-bd5f-be3ef9b0bc2e%2F6469efe4-53dd-412e-9731-4c62dccbda28%2Ffk7xqbl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A manufacturer of heavy machinery has analyzed data for 10 weeks of production. She estimates that the marginal cost for producing \( x \) units in a week, in thousands of dollars, is
\[ C'(x) = 90e^{-x/100}. \]
Given that the fixed costs for a week are 2 million dollars, find the total cost of producing 100 units. (You can enter your answer in terms of \( e \).)
The total cost would be \_\_\_\_\_\_ .
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