1600x – x2. If sales are increasing at theA company's revenue from selling x units of an item is given as R =rate of 20 units per day, how rapidly is revenue increasing (in dollars per day) when 400 units have been sold?%3Ddollars per day

Answered: Image /qna-images/answer/0c7ae0fa-b0ad-404d-9ac6-a529a8442ceb.jpg

A company's revenue from selling x units of an item is given as R = 1600x - x. If sales are increasing at the rate of 20 units per day, how rapidly is revenue increasing (in dollars per day) when 400 units have been sold?

A company's revenue from selling x units of an item is given as R = 1600x - x. If sales are increasing at the rate of 20 units per day, how rapidly is revenue increasing (in dollars per day) when 400 units have been sold?

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CT: Test

Problem 16CT

See similar textbooks

Related questions

Q: The combined yearly interest for x dollars invested at 12% and y dollars invested at 9% is…

A: Combined interest is, 12100x+9100y=0.12x+0.09y

Q: Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given the development of the iPod that includes the stock price of Apple in which it grows rapidly…

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

Q: Find the average rate of change of g(x) = - 3x + 4 from x = – 4 to a = 1. -

A: Given gx=-3x3+4We have to find average rate of change from x=-4 to x=1when…

Q: Suppose the price P, in peso, of a Honda Civic EX-L sedan that is x years old co by P(x) = 1,113,250…

A: Given that:Price of car is modeled as well P(x) =1113250(0.90) x

Q: The number of bacteria in a certain culture was found to be 4 x 10° at noon of one day At noon the…

Q: Q5 Find the instantaneous rate of change at 2 for: f(x) = 6x2-9x -6

A: The given function is,

Q: Assume that a runner runs a 100 meter sprint in 12.3 seconds. He accelerates steadily in the first…

A: The runner accelerates steadily in the first 25 meters. Let the acceleration be a m/s2 and suppose…

Q: A car is moving at a constant rate (x³+5x22x-24) km in (x+4) hours. What is the rate of the car in…

Q: The length of the rectangle is decreasing at a rate of 5 centimeters per second, and its width is…

Q: A company pays $24 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

Q: It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm…

A: An ant farm takes 3 days to consume ½ of an apple. → An ant farm consume ½ of an apple in 3 days

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

Q: The average cost C of producing a machine is partly constant and partly varies inversely as the…

A: Let the average cost C of producing a machine be denoted by: C=a+bn where C=Cost, a= Fixed cost, b=…

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

Q: A ski resort can manufacture enough machine-made snow in 4 h to open its steepest run, whereas it…

A: The time taken for the ski resort to manufacture machine made snow is 4 hours.The time taken for the…

Q: A manufacturer of handcrafted wine racks has deter- mined that the cost to produce x units per month…

A: Given: C=0.2x2+10,000

Q: The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 770…

A: Given: The cost function is given as, C(x)=770+38x-0.062x2 The objective is to find the rate at…

Q: If x + y represents a motorboat's rate with the current, in miles per hour, its distance after 4…

A: If x+y represents a motorboat’s average velocity with the current, in miles per hour, its distance…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 49 km/h…

Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: The number of U.S. citizens aged 65 years and older from 1900 through 2050 is estimated to be…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=…

A: Rate of the average cost of change = (change in output)/(change in input) = dy/dx…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Let's find initially present bacteria.

Q: A particle is moving along the graph of the equation y = x* + 2x -5x - 85. If the abscissa is…

Q: If a person's temperature after x hours of strenuous exercise is T(x) = x³ (7- x²) + 98.6 degrees…

A: We have to calculate the rate of change after 1 hours

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

Q: Find the average rate of change of g (x) = 2x-9 from x=9 to x= 13. Simplify your answer as much as…

Q: For a car moving at a constant speed the distance traveled varies directly. with the time spent…

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: area = altitude*base289 = 9.5*base2base = 18.73 cm

Q: The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of…

Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

Q: A company pays $20 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A: Given company pays $ 20 per hour .

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

Q: If g(x) = 3x3 + 6x2 + 4. What is the value ofthe instantaneous rate of change of g(x) when x = -1?

A: We have to solve the problem

Q: What is the rate of change for h(x) = 2x2 + 7 on the interval [2, 9]?

Q: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09 + 1.1ln(x),…

A: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09+1.1lnx, where…

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: The producers of a new television show expect the number of viewers (in thousands) to increase at a…

Q: A 400-gallon tank initially contains 100 gallons of brine containing 50 pounds of salt. Brine…

A: Formulate a differential equation as follows. Let A(t) be the rate of change of amount of salt in…

Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

Q: at what point on the graph of f(x)= (x-8)(x-2)/x-4 would you not be able to determine the…

A: Given: To find: The point at which instantaneous rate of change cannot be determined.

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

Q: You can now sell 50 cups of lemonade per week at 30¢ per cup, but demand is dropping at a rate of 5…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

Question

1600x – x2. If sales are increasing at the
A company's revenue from selling x units of an item is given as R =
rate of 20 units per day, how rapidly is revenue increasing (in dollars per day) when 400 units have been sold?
%3D
dollars per day

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Indefinite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
Find the average rate of change of f(x)=x2+2x8 on the interval [5,a] in simplest forms in terms ofa.
Refer to the previous exercise. Suppose the lightmeter on a camera indicates an EI of 2 , and thedesired exposure time is 16 seconds. What should thef-stop setting be?
When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?