A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represerted by the function below, wherexis the number of pounds of coffee roasted Find the total cost of roasting 130 b of coffee, disregarding any fued costs Nuritle C'-0019x475, for xs200 The total cost is (Round to the nearest cent as needed)

College Algebra
7th Edition
ISBN:9781305115545
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 2E
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A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 130 lb of coffee, disregarding
any fixed costs.
Nutritle
C'x)-0.019x +4,75, for xs 200
The total cost is $
Calor
(Round to the nearest cent as needed.)
A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the marginal cost, in cents, per card. Find the total cost of producing 570 cards, disregarding any fixed costs
C'(x)-0.06x + 75, for xs 1000
The total cost is cents
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.)
Transcribed Image Text:A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 130 lb of coffee, disregarding any fixed costs. Nutritle C'x)-0.019x +4,75, for xs 200 The total cost is $ Calor (Round to the nearest cent as needed.) A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the marginal cost, in cents, per card. Find the total cost of producing 570 cards, disregarding any fixed costs C'(x)-0.06x + 75, for xs 1000 The total cost is cents 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.)
A concert promoter sells 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'(x). Find the total profit from the
sale of the first 90 tickets, disregarding any fixed costs.
P')- 6x- 1076
The total profit is S
(Round to the nearest cent as needed.)
A clothing 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'x)= -*+ 57, for xs 350
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:A concert promoter sells 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'(x). Find the total profit from the sale of the first 90 tickets, disregarding any fixed costs. P')- 6x- 1076 The total profit is S (Round to the nearest cent as needed.) A clothing 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'x)= -*+ 57, for xs 350 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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