Find the number of units x that minimizes the average cost per unit C.C = 0.03x3 + 30x + 20,580 Find the number of units x that minimizes the average cost per unit C.C = 0.03x3 + 30x + 20,580X =

The given question can be solved as shown in step2.

Answered: Find the number of units x that…

Math

Calculus

Find the number of units x that minimizes the average cost per unit C. C = 0.03x3 + 30x + 20,580 X =

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 4ST

See similar textbooks

Related questions

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

Q: A company that produces cell phones has a cost function of C = 9x - 55x + 5652, where C is the cost…

Q: Find the number of units x that minimizes the average cost per unit C. C- 0.03x + 30x + 30,720

A: Given data : The cost of production C depends on the number of units produced , x , according to…

Q: A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 11 mi from…

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

Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F…

A: To find the foraging time

Q: You are designing a rectangular poster to contain 27 in? of printing with a 3-in margin at the top…

Q: Given cost function C(q) = q° - 135q“ +2400q, what quantity minimizes average cost? It would be…

Q: Find the number of units x that produces the minimum average cost per unit C (with a line over the…

A: We have to Find the number of units x that produces the minimum average cost per unit C (with a line…

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

A: The average cost can be calculate as Average cost (AC) =Total CostNumber of units=CxTotal cost =0.06…

Q: Recall that f(q) represents the marginal cost for producing q litres of soda. For what value of q is…

A: Given the marginal cost is fq=2+q2 if 0≤q≤4q−62 if 4≤q≤7, where 0≤q≤7 Differentiate it, we get…

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.…

A: C=0.02x3+58x2+1455 the average cost function is given by C¯=Cx C¯=0.02x3+58x2+1455x…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

Q: Recall that average cost is (C with a line on top)(x) = C(x)/x . Find the value of x that minimizes…

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

A: Given that

Q: For the given cost function C(r) = 52900 + 600x + x² find: a) The production level that will…

Q: Suppose that the cost function is C(x)= x2 + 5x + 144. Find the value of x that minimizes the…

A: Given:

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 9 mi from…

A: We have given the distance from the boat (considering point B) to nearest point (considering point…

Q: An environmental landscaping company wishes to run a pipeline from a pumping platform (R) located…

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

Q: A company that produces cell phones has a cost function of C = 28x²2 dollars and x is the number of…

A: The cost function of cell phones is C = 28x2-820x+20549 Where, C is cost in dollars and x is the…

Q: C = 0.04x3 + 51x² + 1285 X = units

Q: The cost of producingx units is given by C(x) = 32000 + 1.7x + 20x dollars. Find the value of x that…

A: Given cost function, c(x)=32000+1.7x+20x2

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

A: given

Q: Find the number of units that will minimize the average cost function given that the cost function…

A: Average cost function is given by :c(x)=c(x)x

Q: A boat on the ocean is 9 km from the nearest point on a straight shoreline; that point is 10 km from…

Q: What value of b >-1 maximizes f(b) = J - x) dx!

Q: A company that produces cell phones has a cost function of C = 20x² - 541x + 22940, where C' is the…

A: This question can be solved using the concept of maxima and minima.

Q: A patient's pulse measures 70 bpm, 80 bpm, then 120 bpm. To determine an accurate measurement of…

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be…

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we get C'(q)…

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

A: Minimize average cost

Q: Two positive numbers x and y add up to 100. What values of x and y will minimize 1² + 3y?

A: Given that x>0 ,y>0 and x+y=100 To find the values of x and y such that x2+3y will minimize.…

Q: C = 2x2 + 343x + 3,200 X = units

Q: find all possible functions with the givenderivative. y' = cost/2

A: It is given that, y'=cost2We have to find all possible function.

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

A: The given equation is C=0.001x3+6x+128. Average cost = Total costNumber of units…

Q: Let C(x) be the cost to produce x batches of Complete parts (a) through (d) below

Q: Given cost function C(q) = q° - 125q“ + 2500q, what quantity minimizes average cost? It would be…

Q: A farmer wants to fence an area of 600 square feet in a rectangular field and then divide it in half…

A: Given that, A farmer wants to fence an area of 600 square feet in a rectangular field. After that,…

Q: Find the value of x that minimizes average cost if the cost function is C = x2 +5x+72

Q: You are building five identical pens adjacent to each other with a total area of 1000 square meters,…

A: Topic = Application of derivative

Q: A company that produces cell phones has a cost function of C = 21æ² – 555x + 14960, where C is the…

Q: A company that produces cell phones has a cost function of C = 25x² – 174x + 22200, where C is the…

A: Given cost function is,

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

A: Concept - for minimum Cost Function ,d(C)/dx=0, and d^2/dx^2 should be positive.

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

Q: Find two numbers x and y with x-y = 20 for which the term xy is minimized.

A: In this problem, we have to find the two numbers "x and y"

Q: Total Cost is given by C(x)=3x^2+20x +4800. Find the x value that minimizes average Cost. b. How…

A: Given informationTotal cost is given as

Q: What values of a and b minimize the value of - 2x?) dx? (x*

Question

Find the number of units x that minimizes the average cost per unit

C = 0.03x³ + 30x + 20,580

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
How are the absolute maximum and minimum similar to and different from the local extrema?
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?
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.