A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. Find the total cost of producing the first 180 dresses, disregarding any fixed costs.c'(x) = -4DEX+ 54, for xS450The total cost 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 thesale of the first 90 tickets, disregarding any fixed costs.P'(x) = 6x - 1076The total profit is $.(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.4c'(x) = -5X+57, for xs 350The total cost is $.(Round to the nearest dollar as needed.) A company estimates that its sales will grow continuously at a rate given by the functions'(t) = 17 ewhere 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.)

Marginal cost is the derivative of total cost C' (x) = (d/dx) [ C ( x) ] Integrate both side with…

A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. Find the total cost of producing the first 180 dresses, disregarding any fixed costs. C'(x)- -X+54, for xs450 The total cost 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. Find the total cost of producing the first 180 dresses, disregarding any fixed costs. C'(x)- -X+54, for xs450 The total cost is S (Round to the nearest cent as needed.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. Find the total cost of producing the first 180 dresses, disregarding any fixed costs.
c'(x) = -
4
DEX+ 54, for xS450
The total cost 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'(x) = 6x - 1076
The total profit is $.
(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.
4
c'(x) = -5X+57, for xs 350
The total cost is $.
(Round to the nearest dollar as needed.)

A company estimates that its sales will grow continuously at a rate given by the function
s'(t) = 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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