A manufacturer produces bolts of a fabric with a fixed width. A quantity g of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p). Then, the total revenue earned with selling price pis R(p) = pf(p). Find R'(30), given f(30) = 11000, and f'(30) = -250. (What does this mean?) R'(30) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a
function of the selling price p (in dollars per yard), so we can write g = f(p). Th the total revenue earned with selling price
p is R(p) = pf(p).
Find R'(30), given f(30) = 11000, and f'(30) = -250. (What does this mean?)
R'(30) =
Transcribed Image Text:A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write g = f(p). Th the total revenue earned with selling price p is R(p) = pf(p). Find R'(30), given f(30) = 11000, and f'(30) = -250. (What does this mean?) R'(30) =
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