Question

The revenue R (in dollars) from renting x apartments can be modeled by R = 2x(500...

The revenue R (in dollars) from renting x apartments can be modeled by R = 2x(500 + 36x − x2). (a) Find the marginal revenue, in dollars, when x = 14. $ (b) Find the additional revenue, in dollars, when the number of rentals is increased from 14 to 15. $ Correct: Your answer is correct. (c) Compare the results of parts (a) and (b).The revenue R (in dollars) from renting x apartments can be modeled by

R = 2x(500 + 36x − x2).

(a) Find the marginal revenue, in dollars, when

x = 14.


$  

(b) Find the additional revenue, in dollars, when the number of rentals is increased from 14 to 15.
$

(c) Compare the results of parts (a) and (b).

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A company's revenue from selling x units of an item is given as R=1900x−2x^2. If sales...
A company's revenue from selling x units of an item is given as R=1900x−2x^2. If sales are increasing at the rate of 50 units per day, how rapidly is revenue increasing (in dollars per day) when 360 units have been sold? ? dollars per day The cost of producing x units of stuffed alligator toys is C(x)=0.002x^2+7x+5000. Find the marginal cost at the production level of 1000 units. ? dollars/unit Suppose a product's revenue function is given by R(q)=−7q^2+600q ,...
Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The...
Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -9x2 + 1520x - 52000 (a) What is the actual profit realized from renting the 41st unit, assuming that 40 units have already been rented? $ (b) Compute the marginal profit when x = 40 and compare your results with that obtained in part (a). $
Total revenue is in dollars and x is the number of units. Suppose that the total...
Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R = 81x − 0.02x2. (a) Find R(100). $ Tell what it represents. The actual revenue of the 100th unit is this amount. The revenue decreases by about this amount when the number of units is increased from 100 to 101.     100 units produce this amount of revenue. 101 units produce this amount of revenue. The revenue increases...
The manager of the XYZ has determined that when monthly revenue is modeled as a function...
The manager of the XYZ has determined that when monthly revenue is modeled as a function of the amount of money spent on advertising in thousands of dollars per month, R(x) = ?4x^3+36x^2+30000 (for example, the fact that R(5) = 30400 means that if the company spends $5,000 on advertising in a month, the company’s revenue for that month would be $30400). Find the point of diminishing returns to determine how much should be spent on advertising per month.
Suppose that the total revenue in dollars from the sales of x hundred televisions is given...
Suppose that the total revenue in dollars from the sales of x hundred televisions is given by R(x)=-100(x^2-16x) a) Find the marginal revenue function b) Find R[Prime](9) c) If the manufacturer wants to maximize revenue , should he make more or less than 900 televisions? Why? d) What does R[prime](9) mean and what does it predict? Compare this with actual total revenue.
The revenue function of a company is given by R(x)=-2x^2+25x+150, the cost function is given by...
The revenue function of a company is given by R(x)=-2x^2+25x+150, the cost function is given by C(x)=13x+100 a. Find the marginal cost and marginal revenue function. b. Find the production level x where the profit is maximized. Then find the maximum profit.
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that...
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) = 2200 + 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. Explain what it predicts. The total profit will ------ by approximately $------- on the...
assume that revenue, R(x), and cost, C(x), of producing x units are in dollars: R(x)=9x-2x^2 C(x)=x^3...
assume that revenue, R(x), and cost, C(x), of producing x units are in dollars: R(x)=9x-2x^2 C(x)=x^3 - 3x^2 +4x +1 how many units must be produced to maximize profit? what is the maximum profit as a dollar amount?
1. The revenue (in thousands of dollars) from producing x units of an item is given...
1. The revenue (in thousands of dollars) from producing x units of an item is given by the equation R(x)=10x-0.002x^2. Find the average rate of change of revenue when production is increased from 1200 to 1201 units. Find the instantaneous rate of change of revenue when 1200 units are produced. Both of these answers should include units. Explain the difference between these two values.
Total revenue is in dollars and x is the number of units. Suppose that in a...
Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the demand function for a product is given by p = 450 − 0.1x where x is the number of units and p is the price in dollars. (a) Find the total revenue from the sale of 500 units. $   (b) Find the marginal revenue MR at 500 units. MR = $   Interpret this value. The 501st unit will lose |MR| dollars...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT