The demand function for a new laptop is p(x) = -3x+40 where p(x) represents the selling price, inhundreds of dollars, and x is the number of laptops sold, in hundreds. The cost function is C(x) = 16x + 20.a. Determine the profit function.b. Calculate the maximum possible profit.

The demand function is The cost function is

Answered: The demand function for a new laptop is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A ceramics store manufactures and sells coffee mugs. The revenue r(x) from the sale of x coffee mugs is given by r(x)=6.5x. Suppose the function for the cost of manufacturing x coffee mugs is c(x)=0.75x+1850. a. Write the profit function. b. Find the profit on 500,1000, and 5000 coffee mugs.
BMX company makes a device which has a linear total revenue curve given by TR = 10x and a total cost curve of TC=xsquared - 2090x + 200,000. Determine the break even points algebraically and write the profit function in terms of the TC and TR functions given above
A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 per hour. a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function. Cost function: C(z) = dollars b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained from a hours of use. Revenue function: R(x) = I c. Write the profit function P(x) for the amount of profit gained from a hours of use. Profit function: P(x) = dollars dollars d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? In order for the contractor to break even, customers need to pay to use the backhoe for a total of hours.
Imani is opening an online shop to sell her handmade candles. She has determined that her initial start-up costs will be $110, and it will cost her $6 to produce each candle. Imani plans to sell each candle for $22. Let x be the number of candles. Write the revenue function, R(x), for selling the candles. Answer R(x) = Keypad Keyboard Shortcuts
Find the maximum profit P if C(x) = 10 + 56x and p = 92 - 2x. O A. $142.00 В. $152.00 O C. $166.00 O D. $175.00
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.a. Find the cost function CC when xx energy drinks are manufactured.C(x)=b. Find the revenue function RR when xx drinks are sold.R(x)=c. Find the break-even point by any method.x= drinks
A builder needs to rent a dump truck for a day for $75 plus $0.80 per mile. Find the cost function. (Let x be the number of miles.)C(x) =
A firm sells a product for $80 per unit. Raw material costs are$12,50 per unit, labor costs are $27,50 per unit, and annual fixedcosts are $260,000.a. Determine the profit function P(x), where x equals the numberof units sold.b. How many units would have to be sold to earn an annualprofit of $250,000.
A company manufactures and sells x cell phones per week. The weekly price demand and cost functions are given respectively p(x) = 600 – 0.5x and C(x) = 20,000 + 130x. The maximum weekly profit is: A. $170,000. B. $81,100. C. $100,000. D. $90,450. Select one: O A O B O D
Just answer D and E

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

The demand function for a new laptop is p(x) = -3x + 40 where p(x) represents the selling price, in hundreds of dollars, and x is the number of laptops sold, in hundreds. The cost function is C(x) = 16x + 20. a. Determine the profit function. b. Calculate the maximum possible profit.