Answered: Let C(x) be the cost function and…

Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions. C(x)=0.0002x3−0.012x2+300x+50,000 R(x)=400x

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.2: Domain And Range

Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...

See similar textbooks

Related questions

Q: y y = 2 2 1 y = 1 → X п/2

A: The given question has been solved in detail.

Q: 2m-1 Σ m=1 (2) (m!) (m+x+1) How did he get the value inside the circle, can you explain step by step...

A: Jv(x) = ∑m=0∞ -1m . x2m+v22m+v .m! (m+v)!

Q: sec? x dx- 4 Evaluate /1-tan x O-1 O -2 1 O 2

A: We have to find the integral

Q: Evaluate: * (Зх— 1 f(x) = {5 (x + 2 x 2 x = 2

Q: Determine using the given graph if the function f is continuous on the following intervals. 2. 1. a....

A: Let's find.

Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given: Function is given

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

Q: 16. Let p(z) = (x- 1)(x – 2)(xr – 3)(x – 4). Choose the correct statement: (a) For any number u, the...

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

Q: Using diliferentials, determine the appropriate O a. 47.1 cm3 Ob.314.2 cm3 OC 15.7 cm3 O d. 539.5 cm

A: Given query is to find the the change in the volume of sphere.

Q: dx Given: x sinx Find: Formula 2 Jsin u du Jsin u du 02 fcso o fesc u du 2 | csc u du

Q: c.Find the first four non zerọ terms of the Maclaurin Series for the given functions. Write the powe...

Q: 1 dx ((x+1)²–1) 2

A: ∫1x+12-12dx=∫ -14x+14x2+14x+2+14x+22dx=-∫14xdx+∫14x2dx+∫14x+2dx+∫14x+22dx=-14lnx-14x+14lnx+2-14x...

Q: In each of Problems 1 through 5, determine the canonical form of the eliptic equation. 1. Uzz + 2uzy...

Q: dx Evaluate (1– 2x)² 1 2 O -1 1 2

A: To solve the following integral

Q: The population of a certain state (in thousands) from 1991 (t= 0) to 2001 (t= 10) is modeled by the ...

Q: secx 7. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

Q: List the first five terms of the sequence : (-1)"n an n! +2 a1 = Number a2=Number az = Number a4 Num...

A: Given query is to find first 5 terms of the series.

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

Q: The average student enrolled in the 20-week Court Reporting I course at the American Institute of Co...

A: Given query is to find the function N(t).

Q: V9 – x2 Consider the function f(x) = 3 Let R be the region bounded by the curves y = f(x) and y = 0 ...

Q: For a long-distance phone call, the phone company charges $0.65 $⁢0.65 for the first 3 3 minutes or ...

Q: || x? zdS, where S is the part of the plane z = 1 + 4x + 3y above the S. Evaluate rectangle [0, 3] x...

Q: 2. In each of the following, find fyzz, fryx, fxyz. 2. f(x, y, z) = lIn(xyz) + 2² tan¬'(e"Y)

A: I am attaching image so that you understand each and every step. Note:- 2nd subpart is more complex...

Q: Consider the following sequence. If the sequence converges, determine its limit. If the series diver...

Q: S- V3e2x - 2e-2x VZe-2x +C Arcsin 2/3e2x - 2e-2x +C 2x +/2e¬4x +C 2/7 O 12 -Arcsin 3e2x +C

A: ∫e-x3e2x-2e-2xdx Solution :∫e-x3e2x-2e-2xdx ∫e-xex3e2x2-2dx 12∫132e2x2-1dx let ,32e2x=t32e2x2dx=dtdx...

Q: Consider the function f(r, y, z) = ry+y? + 22. (a) What is the gradient grad f of f, and what is its...

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

Q: Solve the differential equation with appropriate method. Express final answer free of fractions and ...

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with so here we h...

Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

Q: EXERCISE 1 df af. In each of the following, find Əx and (k) f(x, y) = /Ty + VT+ VJ

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: We will use the following concepts:-

Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

Q: Solve: |x + 1| > 4 Give your answer as an interval. Question Help: D Video M | Message instructor Su...

A: Topic:- algebra

Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the ...

A: Given query is to find the rate of chnage of diameter.

Q: Evaluate the integral tan 4x S- Vtan? 4x – 24 In/tan 4x + /tan² 4x – 24| +C O 1 sec 4x +C Arcsec 5 O...

A: 14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the firs...

Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

Q: s(x) = X-4 Find the x-values (if any) at which the function is not continuous. Which of x2-2x-8 the ...

Q: determine if the function is continuous or not. type continuous if the function is continuous at a c...

A: NOTE: Refresh your page if you can't see any equations. . consider the two functions only

Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

Q: Find the value of a that will make the function continuous at every real number. x 2

Q: JUX² +2x-8 dx Evaluate lx + 1Wx + 1)* + 9 = l(x + 1) + Vtx + 1}² – 9|]+c 9ln (+ 1)/(x + 1)² – 9 – 3l...

Q: y 2 y = sec? x y = sin(4x) → X T/8

Q: Solve the differential equation with appropriate method. Simplify final answer free of fractions and...

Q: Use Stokes' Theorem to calculate the integral / curl F · dÃ where F = -5yi+ 5xj + (xy+4 cos z)k and ...

Q: dx Sz Given: 2x - 3xlnx Find: du 3 dx dx dx X dx

Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

Question

Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.

C(x)=0.0002x3−0.012x2+300x+50,000

R(x)=400x

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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 cost function of a company as a function of units produced x is C(x)=181+43x−0.02x2. What is the cost to produce unit 25? What is the marginal cost at x=24?
Consider the marginal cost function C′(x)=400+8x−0.01x^2. a. Find the additional cost incurred in dollars when production is increased from 150 units to 200 units. b. Find the additional cost incurred in dollars when production is increased from 500 units to 550 units.
The total cost of producing x units of a certain commodity is given by C(x) = 20x ^ 2 + 100 a)Find the marginal cost function. b). Find the average cost function
The cost function for a product is given by: C(x)=4000/x +8x^2 +20x+300 a) Find the marginal cost function. b) Find the marginal cost when x = 20 and explain its meaning.
The marginal cost of producing the xth box of light bulbs is 14-(x/10000), and the fixed cost is $20,000. Find the cost function C(x). C(x)=_________________________
The monthly revenue associated with renting a total of x apartments is R(x)=1,500−.4x2 . The monthly cost associated with renting a total of x apartments C(x)=25,000+600x. Find the profit function, P(x). b. Find the marginal profit function
The demand function for the Viking Boat’s 34-ft Sundancer yacht isp = 200 − 0.01x ln x,where x denotes the number of yachts and p is the price per yacht in hundreds of dollars.(a) Find the revenue function and the marginal revenue function for this model of yacht.(b) Use the result of part (a) to estimate the revenue realized from the sale of the 500-th34-ft Sundance yacht. (Note: This is an estimate, so be careful to use the correct functionfrom part (a) and to evaluate it at the correct value of x.)(c) Now compute the exact revenue realized from the sale of the 500-th 34-ft Sundance yacht. (d) Comment on the approximation provided in part (b).
A company's marginal cost function is C'(x)=0.015x^2-2x+80 dollars, where x denotes the number of units produced in 1 day. The company has fixed costs of $1000 per day. Find the cost od producing x units per day.
p=250-x/50 C(x)=20,000+40x Find the marginal revenue function in terms of x R'(x)=?
A company has a price demand function P (x) = 150 − 3x for a certain product. What is the revenue function?