The total cost of manufacturing x units during the daily production run at a factory, isC(x) = x^2 + x + 900 dollars. Usually, x(t) = 25t units are manufactured during the first t hours of production.(a) Express the total manufacturing cost as a function of t.(b) How much will have been spent on production by the end of the third hour?(c) When will the total manufacturing cost reach $11,000?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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The total cost of manufacturing x units during the daily production run at a factory, is
C(x) = x^2 + x + 900 dollars. Usually, x(t) = 25t units are manufactured during the first t hours of production.
(a) Express the total manufacturing cost as a function of t.
(b) How much will have been spent on production by the end of the third hour?
(c) When will the total manufacturing cost reach $11,000?

 

 

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