Find the marginal profit for producing x units. The profit is measured in dollars.P= -0.5x3+40x2-167.45x-4000dP/dx = _____________ dollars per unit

Given data: The expression for the profit is: P=-0.5x3+40x2-167.45x-4000. Marginal profit…

Answered: P= -0.5x3+40x2-167.45x-4000 dP/dx =…

Math

Calculus

P= -0.5x3+40x2-167.45x-4000 dP/dx = _____________ dollars per unit

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: The total cost (in dollars) of manufacturing x auto body frames is Cx)= 60,000 + 300x. (A) Find the…

A: (a) Consider the given function cx=60,000+300x

Q: The cost, in thousands of dollars, of airing x television commercials during a sports event is given…

Q: The marginal revenue function of a company is MR = 200- x, and the marginal cost is MC =x+100. Then…

A: The change in the total cost, when an additional unit of the product is sold is called the marginal…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

Q: or cars. The total weekly cost, C(x) (in dollars) of producing x tanks is given by C(x) = 20000 +…

A: Given, A company manufactures fuel tanks for cars. The total weekly cost, C(x) (in dollars) of…

Q: The cost of producing xx units of stuffed alligator toys is…

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: A company can sell x units of a product when the price is p = D(x) = 3.00 – 0.002x dollars. The…

A: Given , No of unit =x Price=p Also given P=D(x) =3.00-0.002x and C(x)=0.006x2+0.52x+270 Hence,

Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.75x2 +…

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x2 (in…

A: Given, The marginal cost of manufacturing x yards of certain fabric is C'(x) = 3-0.01x+0.000006x2…

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: To find the demand function P(x) :-

Q: The cost C ( in dollars) of producing x units of a product is given by C= 3.6√X + 50. A) Find the…

Q: P(X)= 5x-0.005X2- 450 Evaluate the marginal profit at the given values of x X= 450

A: Given:

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: P = 40n − 0.05n2 cars. Calculate the marginal product of labor at an employment level of 50 workers.…

A: Given, P = 40n − 0.05n2 cars.

Q: The cost, in dollars, of producing z units of a certain item is given by C(2) = 0.03z3 – 10z + 300.…

A: Given that the cost in dollars of producing “x” unit of a certain item is given by,…

Q: Assume that it costs a company approximately C(x) = 400,000 + 180x + 0.003x2 dollars to manufacture…

A: For (a), The marginal cost function is C'(x)= 180+.006x . So, C'(10,000)=180+.006(10000)=240 Answer:…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 800x. (A) Find…

A: Given data: The expression for the total cost of manufacturing x frames is C(x)=50,000+800x. (A)…

Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.35x2 +…

A: Given profit function is P=-0.35x2+3,000x-1,150,000

Q: The demand function for a certain boat company's 34 ft Sundancer yacht is p = 800 − 0.01x ln(x)…

Q: C(x) = 400,000 + 120x + 0.003x" dollars to manufacture x smartphones in an hour. (a) Find the…

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: Given, R'(x)=0.06x2-0.08x+134. The marginal revenue function is the derivative of the revenue…

Q: The price-demand and cost functions for the production of microwaves are given as p = 235-x/30…

A: Question- The price-demand and cost functions for the production of microwaves are given as p =…

Q: Consider the marginal cost function C'(x) = 400+ 12x -0.01x². a. Find the additional cost incurred…

A: Given C'x=400+12x-0.01x2

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A: Let's find.

Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.75x2 +…

A: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.75x2 +…

Q: IARGI The total cost of producing x units of a certain commodity is given by C(x) = V5x + 2 + 3.…

Q: The marginal revenue function of a company is: I'(x) = 10 – 0.02x Determine: a) The income that will…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x)=30,000+200x. (A) Find…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

A: The total cost of manufacturing x auto body frames is Cx=50,000+700x

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

Q: The total revenue function for a commodity is given by: R(x) = 80x-0.04x2 A) Find the marginal…

A: (A)

Q: Searching. The total production cost of 2 pairs of shoes is expected to be given 1 ) = 2²…

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Consider the marginal cost function C'(x) = 200 + 10x-0.01x2. a. Find the additional cost incurred…

A: Given Marginal cost function

Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 285,000 +…

Q: The cost, in dollars, of producing a units of a certain item is given by C (x) = 0.04x3 – 5æ + 350.…

Q: commodity is given by C(x) = 1 45x3 + 9x2 + 9x + 21 dollars. We want to find the marginal cost at…

Q: The marginal cost of producing the xth box of CDs is 90 + x + The total cost to produce 100 boxes is…

Q: The marginal cost of a product can be thought of as the cost of producing one additional unit of…

Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: (a) Find the marginal cost function. MC(x)= (b) Find the marginal cost when 50 units of the item…

Q: gives the cost in dollars to produce x units of a commodity. a. Find the marginal cost when the…

Q: Say the total cost of producing x units of a particular board game is C(x) = 5000 + 30x – 0.01x? a)…

Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x² (in…

A: Given that, the marginal cost of manufacturing x yards of a certain fabric is C'x=3-0.01x+0.000006x2…

Q: 6) The marginal cost of producing z units of a product is modeled by 28 – 0.02x. dz It costs $40 to…

A: We use separable differential equation

Q: The average cost of producing x units of a product is C = 500ex⁄500 dollars per unit. What is the…

A: Given that, the average cost of producing x units of a product is C = 500ex500 dollars per unit.…

Q: Assume that it costs a company approximately C(x) - 800,000 + 340x + 0.0005x? dollars to manufacture…

A: 0Given: C=800,000+340x+0.0005x2

Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5 x)…

A: We have to find the marginal cost

Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 415 + 6.75x2/3…

A: The cost function is given by C = 415 + 6.75x23 To evaluate : The expression for the marginal cost…

Q: The marginal revenue function for selling x units is 10 + 4x. Find the increase in revenue if…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 425 + 6.75x2/3…

A: We have to find the marginal cost for producing x units. Given cost function is: C = 425 + 6.75x2/3

Question

Find the marginal profit for producing x units. The profit is measured in dollars.

P= -0.5x³+40x²-167.45x-4000

dP/dx = _____________ dollars per unit

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 by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

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

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
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.
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) ?