Question

The company knows that unit cost C and unit revenue R from the production and sale...

The company knows that unit cost C and unit revenue R from the production and sale of x units are related by C = (R^2/ 172,000) + 8594. Find the rate of change of revenue per unit when the cost per unit is changing by $11 and the revenue is $2000

0 0
Add a comment Improve this question Transcribed image text
Answer #1

dC Given: a dx = 11 dollars per unit R2 C = 77000 + 8594 Derivating with resapect to x, dC 1 GdR), dx = 172000 (2R J +0 dC R

Add a comment
Know the answer?
Add Answer to:
The company knows that unit cost C and unit revenue R from the production and sale...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • $ Given the revenue and cost functions R = 36% - 0.6x? and C - 6x...

    $ Given the revenue and cost functions R = 36% - 0.6x? and C - 6x + 9, where x is the daily production, find the rate of change of profit with respect to time when 20 units are produced and the rate of change of production is 6 units per day O A $156 per day OB. $72 per day OC. $172.8 per day OD. $36 per day

  • need help with #13 please and thank you 13. DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit...

    need help with #13 please and thank you 13. DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) - 55x and that the total cost function is c(*) - 2000 + 35x + 0.01x? (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. Explain...

  • The graphs of the revenue and cost functions for the production and sale of z units are shown bel...

    The graphs of the revenue and cost functions for the production and sale of z units are shown below. The cost function is the straight line, and the revenue function is the curve. 77000 70000 63000 56000 49000 42000 35000 28000 21000 14000 0 0 100200 300 400 500 600 700 800 900 1000 1100 1200 a. Use the graph to estimate the production level z that maximizes profit. Use only values that appear on the horizontal axis for your...

  • Question 11 12 pts Assume the total revenue from the sale of 'x'lawnmowers is given by...

    Question 11 12 pts Assume the total revenue from the sale of 'x'lawnmowers is given by : R(x) = 250000*(0.005x)0.3 Read carefully before answering the following: (a) Find the total revenue if 700 units are sold. Total revenue is $ [Select] (b) Find the marginal revenue if 700 units are sold. The marginal revenue is $ [Select] (c) Find the average revenue per unit if 700 units are sold. The average revenue is $ [Select)

  • The revenue in dollars generated from a sale of x picnic tables is given by R(x)=26x -x2/500 Answer parts (a) through (d).

    The revenue in dollars generated from a sale of x picnic tables is given by R(x)=26x -x2/500 Answer parts (a) through (d). (a) Find the marginal revenue when 2000 tables are sold. (b) Estimate the revenue from the sale of the 2001st table by finding R'(2000). (c) Determine the actual revenue from the sale of the 2001st table. (d) Compare your answers for parts (b) and (c). What do you find? 

  • Please find the rate of change for the total revenue, cost, and profit. Not just the total revenu...

    Please find the rate of change for the total revenue, cost, and profit. Not just the total revenue! Thank you! Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars R(x) = 40x-0.5X, C(x) = 3x + 15, when x = 35 and dx/ dt = 15 units per day The rate of change of total revenue is $per day. Find the rate of change of total...

  • 36. Revenue Suppose that the revenue function for a certain product is given by R(x) =...

    36. Revenue Suppose that the revenue function for a certain product is given by R(x) = 15(2x + 1)-1 + 30x – 15 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue when 2000 units are sold. (b) How is revenue changing when 2000 units are sold?

  • DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of...

    DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is c(X) - 1700 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. on the sale of the next (501st) unit. Explain what...

  • 41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...

    41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...

  • 41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...

    41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT