Answered: The total cost of producing a type of…

The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02x, where x is the number of cars produced. How many cars should be produced to incur minimum cost?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

See similar textbooks

Related questions

Q: The monthly output of a Spanish light bulb factory is P = 2L K2 (in millions), where L is the cost…

Q: The cost per unit of producing a product is 40+5 dollars, where x represents the number of units…

A: Consider the provided cost for 1 unit of the product, 40 + 5x dollars. For x units of the product,…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: If the total cost function for a product is C(x) = 810 + 0.1x2 dollars, producing how many units,…

Q: Find the number of units x that produces the minimum average cost per unit C in the given…

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: If the total cost function for a product is C(x) = 120(0.02x + 5)³ dollars, where x represents the…

Q: A company has started selling a new type of smartphone at the price of $110 - 0.1 x where x is the…

Q: Give the cost function C=10x + 1,000/x , find the number of unit x to get the minimum cost.

A: The given cost function is

Q: The total cost function is given by C(x)=.055x2+5x+600. Find the number of units,x, that must be…

Q: Suppose a company has fixed costs of $39,000 and variable costs of 1/3x^2 + 444 x dollars, where x…

Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000 Revenue function is given as: Rx=19x…

Q: The cost per unit of producing a product is 380 + 0.2x dollars, where x represents the number of…

A: Given: The cost per unit of producing a product is 380+0.2x, where x represents the number of units…

Q: If the total cost function for a product is C(x) = 150(0.02x + 6)3 dollars, where x represents…

A: Now , we will find the minimum average cost per hundred units .

Q: A company finds that the total cost of manufacturing a units of a certain product is given by C(x)…

A: We will find the required information as shown below

Q: The cost per unit of producing a product is 200 + 0.2x dollars, where x represents the number of…

A: Find the total cost.

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 40x + 0.25x2 where C…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

Q: Find the number of units x that produces the minimum average cost per unit C in the given…

A: We can use the application of derivative in order to solve the given problem.

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Average cost function is given by:

Q: Find the number of units x that produces the minimum average cost per unit C in the given…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

Q: If the total cost function for a product is C(x) = 490 + 0.1x2 dollars, producing how many units,…

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x - 05 x2 50…

Q: The marginal cost of producing the xthxth PC is C′(x)=10+(x^2/60000) and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: If the total cost function for producing x lamps is C(x) = 2160 + 32x + 0.6x2 dollars, producing…

Q: If the total cost function for producing x lamps is C(x) = 4410 + 38x + 0.9x2 dollars, producing…

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is S'x=60-4x (i) From eq. (i)…

Q: If the total cost function for a product is C(x) = 5(x + 2)3 dollars, where x represents the number…

Q: The cost of producing x boards is given by x2 + 20x + 500, while the price of each board if there is…

Q: The price of a product in a competitive market is $400. If the cost per unit of producing the…

A: The cost function per unit is 70 + 0.2x in dollars and x be the number of items produced per month.

Q: If the total cost function for a product is C(x) = 325(0.02x + 4)3 dollars,where x represents the…

Q: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x dollars, producing how…

A: Given that the total cost function for producing a lamps is C(x) = 360+35x+0.4x2 dollars .

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

Q: The monthly output of a Spanish light bulb factory is P = 2LK2 (in millions), where L is the cost of…

Q: If the total cost function for a product is C(x) = 3(x + 2)3 dollars, where x represents the…

A: Given, The total cost function for a product is Cx=3x+23 dollars, where x represents…

Q: If the total cost function for producing x lamps is C(x) = 3920 + 38x + 0.8x² dollars, producing how…

Q: A company sells its product at 60 OMR per unit. The fixed cost is 19500 OMR, and the variable cost…

A: Here we have to find the break even point. We know that break even point is the point where total…

Q: If the total revenue in ABC company has given by R=-x^3+285x^2=45000x, where R is the measure in…

A: Topic:- Application of Derivative

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.75x2, where C…

A: Given, A manufacturer of lighting fixtures has daily production costs of C(x) =…

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.75x2, where C…

A: Given Data The cost of daily production is C=800-30x+0.75x2. Differentiate the cost of the daily…

Q: If the total cost function for producing x lamps is C(x) = 800 + 37x + 0.5x dollars, producing how…

A: Given cost function C(x)=800+37x+0.5x2 As per our gudeline we supposed to Answer only first…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Here we have to find the number of units x that produces the minimum average cost per unit C¯ in the…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

Q: If the total cost function for a product is C(x) = 4(x + 7)3 dollars, where x represents the…

Q: A firm has monthly average costs, in dollars, given by C = 40,000/x + 300 + x where x is the number…

A: Profit, P = (Sale price per unit - average cost per unit) x Number of units = [2,000 - (40,000/x +…

Question

The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02.x, where x is the number of cars produced. How many cars should be produced to
incur minimum cost?

Expert Solution

Step 1

Topic = Functions

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

How are the absolute maximum and minimum similar to and different from the local extrema?
The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
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?