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# Calculus 10 POINTS!!!?

A manufacturer produces bolts of fabric with a fixed width. The 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

q = f(p).

Then the total revenue earned with selling price p is

R(p) = pf(p).

Given

f(16) = 9000

and

f '(16) = −340,

find

R'(16).

R'(16) = ?

### 1 Answer

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- Anonymous7 years agoFavorite Answer
R(p) = pf(p)

Use derivative of product df(x)*g(x)/dx = df/dx * g(x) + f(x) * dg/dx

R'(p) = f(p) + p f'(p)

R'(16) = f(16) + 16*f'(16) = 9000 + 16 * (-340) = 3560.

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