Question

find the rate of change of total revenue, cost, and profit with respect to time. Assume...

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) = 50x - 0.5x2, C(x) = 2x + 10, when x = 35 and dx / dt = 15 units per day

A.) the rate of change of total revenue is $ _____ per day

B.) the rate of change of total cost is $ _______ per day

C.) the rate of change of total profit is $ ______ per day

Math   Calculus   
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
Given the revenue and cost functions R = 26x - 0.3x2 and C = 3x +...
Given the revenue and cost functions R = 26x - 0.3x2 and C = 3x + 10, 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 7 units per day per day.
The total revenue function for a certain product is given by R=590x dollars, and the total...
The total revenue function for a certain product is given by R=590x dollars, and the total cost function for this product is C=15,000 +50x + x squared 2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit.
Find the quantity which maximizes profit if the total revenue and total cost (in dollars) are...
Find the quantity which maximizes profit if the total revenue and total cost (in dollars) are given by R(q) = 5q -0.004q^2 C(q) = 300 + q where 0 ≤ q ≤ 800 units. What production level gives the minimum profit?
A company determines its total revenue and total cost functions for producing and selling x items...
A company determines its total revenue and total cost functions for producing and selling x items are given by R(x)=600x−2x2, andC(x)=200+10x. If the company produces and sells 2 additional items every day (in other words, dxdt=2), what is the rate of change of profit with respect to time when they've produced and sold 10 items?
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...
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 ,...
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?
The total cost and the total revenue​ (in dollars) for the production and sale of x...
The total cost and the total revenue​ (in dollars) for the production and sale of x ski jackets are given by   ​C(x)=26x+20,440   and   R(x)=200x-.2x^2 for 0 ​(A) Find the value of x where the graph of​ R(x) has a horizontal tangent line. ​(B) Find the profit function​ P(x). ​(C) Find the value of x where the graph of​ P(x) has a horizontal tangent line. ​(D) Graph​ C(x), R(x), and​ P(x) on the same coordinate system for 0less than or equals≤xless...
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 is given by R(x) = 48x and that the total cost function is given by C(x) = 70 + 29x + 0.1x2. (a) Find P(100). P(100) = (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) = Explain what it predicts. At x = 100, MP(100) predicts that cost will increase by...
A company determines that its marginal revenue per day is given by R′(t)​, where R(t) is...
A company determines that its marginal revenue per day is given by R′(t)​, where R(t) is the total accumulated​ revenue, in​ \ dollars, on the tth day. The​ company's marginal cost per day is given by C′(t)​, where C(t) is the total accumulated​ cost, in​ dollars, on the tth day. R′(t)=130et​, R(0)=​0; C′(t)=130−0.8t​, C(0)=0 ​a) Find the total profit​ P(T) from t=0 to t=10 ​(the first 10 ​days). P(T)=R(T)−C(T)=∫T0R′(t)−C′(t) dt The total profit is $___ ​(Round to the nearest cent...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT