Question

A company has a marginal profit function given by
P^1(x) = −2x + 140
where P^1(x) is in dollars per unit. This means that the rate of change
of total profit with respect to the number of units produced, x is P^1(x).
Find the total profit from the production and sale of the first 40 units

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Applications of Integration

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector f...

A: To Determine: A net is dipped in a river .determine the flow rate of water across the net if the vel...

Q: A driver driving along a highway at a steady 49 mph.... (please refer to image) Please make sure to ...

A: Click to see the answer

Q: For the DE (D^2 - 2D - 3)y = 0, Find the value of y when x =1, for the particular solution that has ...

A: Click to see the answer

Q: If tan t and : <t< T, find sin t, cos t, sec t, csc t, cot t. - 12 Enter the exact answers.

A: Click to see the answer

Q: Use calculus to find the volume of the following solid S: The base of S is the parabolic region {(x,...

A: Given: The  base is the parabolic , Cross-section  perpendicular to the y axis are squares  

Q: Given, 8x3 - 36x2 + 46x - 15 = 0. Solve,  a. List all possible rational roots or rational zeros. b. ...

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three subparts f...

Q: Sketch the graph of the derivative of given functions

A: (a) From the given graph, it is the straight line that is parallel to x-axis. Therefore, the functio...

Q: 6) Find f(x) for f(x) = sec(vx2 + 1).

A: We are solving the first question and for the next question post the question again and alsomention ...

Q: Find y' and y "   y =In  (Sec x + tan x)

A: Given: y=lnsecx+tanx

Q: 5.) Determine the area of the shaded region below. Explain your reasoning and be clear about the for...

A: Given:

Q: 3z+5z? Find the residues of f(z) (2z²–4)3*

A: Click to see the answer

Q: true or false with reason a)if f is continuous in[a,b] then integrationba x f(x)dx= x integrationbaf...

A: a). False. The result of doing this would give you a function of x, but the definite integral is a n...

Q: Verify that Rolle's Theorem can be applied to the function f(x)=x3−8x2+17x−10 on the interval [1,5]....

A: Click to see the answer

Q: Solve the differential equation. y' - y = 8e* %3D

A: For this we have to find first complement

Q: Consider the following. P(x) = 4x4 − 3x3 − 29x2 + 53x + 15 Find all the zeros of the polynomial fu...

A: We have to solve the equation  4x4 -3x3 -29x2 +53x +15 = 0

Q: Consider the quadratic function below and (a) find the vertex; (b) find the axis of symmetry; (c) de...

A: Graph of given quadratic  equation is shown below. 

Q: Given 12 csc (6x) Cot (6x) dx Step 2 How are these values înserted into the Cot (62) equation in ord...

A: Click to see the answer

Q: The annual revenue and cost functions (in dollars) for themanufacture of dining room sets are approx...

A: Click to see the answer

Q: See attached these are practice problems

A: Click to see the answer

Q: Fill in the blank/s: A solution of a system of linear equations in three variables is an ordered ___...

A: Given: A solution of a system of linear equations in three variables is an ordered ........... of re...

Q: 1a.

A: Click to see the answer

Q: #76

A: Click to see the answer

Q: Given: (x is number of items) Demand function: d(x) = 202.5 – 0.6x? Supply function: s(x) = 0.3x² Fi...

A: Click to see the answer

Q: A particle is moving with the given data. Find the position of the particle. a(t)= t^2 -5t + 4,  s(0...

A: Click to see the answer

Q: The Hubble Space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. A model f...

A: Click to see the answer

Q: Find the exact length of the curve. 1 Vy (v - 3), 4 < y< 16 3 X =

A: Click to see the answer

Q: answer A AND B but have answers rounded

A: For this problem, we can find d and v at any instant by using given equation.

Q: A parking lot charges 3 dollars for the first hour (or part of an hour) and 2 dollars for each succe...

A: (a) Graph the function as shown below:

Q: ) Find the accumulated sales for the first 5 days. D) Find the sales from the 2nd day through the 5t...

A: Click to see the answer

Q: For the DE (D^2 - 2D - 3)y = 0, Find the value of y when x =1, for the particular solution that has ...

A: Click to see the answer

Q: A committee is to consist of a chair, two hagglers, and three do nothing's. The committee is formed ...

A: Click to see the answer

Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: Please help me with this problem. Thank you!

A: Click to see the answer

Q: Critical points   g(h)=( (sin h) ((cos h)^2)))   - ( (cot h)/ h ) + 11

A: The expression g(h)=sinhcos2h-cothh+11. We have to find the critical point for this given expression...

Q: Find dy/dx and d²y/dx?, and find the slope and concavity (if possible) at the given value of the par...

A: Click to see the answer

Q: 1b.

A: Given: The graph of y=V't as To find:  The values of c along x-axis such that V'c=110∫010V'tdt