The marginal cost (dollars) of printing a poster when x posters have been printed is given by the following equation. -4/5 C'(x) =x Find the cost of printing 99 more posters when 11 have already been printed. The cost of printing 99 more posters when 11 have already been printed is $ (Round to the nearest cent as needed.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The marginal cost (dollars) of printing a poster when x posters have been printed is given by the following equation.
-4/5
C'(x) =x
Find the cost of printing 99 more posters when 11 have already been printed.
The cost of printing 99 more posters when 11 have already been printed is $.
(Round to the nearest cent as needed.)
L
A concert promoter sels tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket This means that the rate of change of total profit with respect to the number of tickets sold, x is P' Find the lotal profe trom the
sale of the frst 00 tickets, disreganding any fxed costs
P'x-1076
The total profit is S
(Round to the nearest cent as needed.)
A ciothing company determines that its marginal cost, in dollars per dress, is given by the function below. The total cost of producing the first 180 dresses is $7668. Find the cost of producing the 181st through the 220th dress
C'-* 57, for xs350
The total cost is S
(Round to the nearest dollar as needed.)
A company estimates that its sales will grow continuously at a rate given by the function
s'(1) = 17 e
where S'(t) is the rate at which sales are increasing, in dollars per day, on day t.
a) Find the accumulated sales for the first 6 days.
b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.)
Transcribed Image Text:The marginal cost (dollars) of printing a poster when x posters have been printed is given by the following equation. -4/5 C'(x) =x Find the cost of printing 99 more posters when 11 have already been printed. The cost of printing 99 more posters when 11 have already been printed is $. (Round to the nearest cent as needed.) L A concert promoter sels tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket This means that the rate of change of total profit with respect to the number of tickets sold, x is P' Find the lotal profe trom the sale of the frst 00 tickets, disreganding any fxed costs P'x-1076 The total profit is S (Round to the nearest cent as needed.) A ciothing company determines that its marginal cost, in dollars per dress, is given by the function below. The total cost of producing the first 180 dresses is $7668. Find the cost of producing the 181st through the 220th dress C'-* 57, for xs350 The total cost is S (Round to the nearest dollar as needed.) A company estimates that its sales will grow continuously at a rate given by the function s'(1) = 17 e where S'(t) is the rate at which sales are increasing, in dollars per day, on day t. a) Find the accumulated sales for the first 6 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.)
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