Question

The profit P (in dollars) made by a cinema from selling x bags of popcorn can...

The profit P (in dollars) made by a cinema from selling x bags of popcorn can be modeled by

P = 2.38x

x2
28,000

^ this is a fraction

− 3,300,    0 ≤ x ≤ 50,000.

(a) Find the intervals on which P is increasing and decreasing. (Enter your answer using interval notation.)

increasing    
decreasing    

Homework Answers

Answer #1

Please feel free to ask any query in the comment box and don't forget to rate if you like.

Know the answer?
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
Similar Questions
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing     decreasing   question#2: Consider the following function. f(x) = 2x + 1,     x ≤ −1 x2 − 2,     x...
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 +...
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 + x − 30 (a) Find the open intervals on which f ′(x) is increasing or decreasing. (Enter your answers using interval notation.) increasing (−12​,∞) decreasing (−∞,−12​) (b) Find the open intervals on which the graph of f is concave upward or concave downward. (Enter your answers using interval notation.) concave upward concave downward (c) Find the x-values of the relative extrema of f. (Enter...
Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))2 (a) Find...
Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))2 (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing     decreasing     (b) Apply the First Derivative Test to identify the relative extrema. relative maximum     (x, y) =    relative minimum (x, y) =
The revenue from the sale of x blankets with arms is given by R(x)=28x−0.2x^2 dollars. The...
The revenue from the sale of x blankets with arms is given by R(x)=28x−0.2x^2 dollars. The total cost is given by C(x)=0.1x^2−17x+1690 dollars, where 0≤x≤120. Determine the interval of sales for which the profit is increasing and the interval for which it is decreasing. Express your answer in open intervals.
Consider the following. f(x) = 4x3 − 6x2 − 24x + 4 (a) Find the intervals...
Consider the following. f(x) = 4x3 − 6x2 − 24x + 4 (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.) concave up concave down inflection point (x, y) =
Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 4. (A) Find...
Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 4. (A) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) (B) Apply the First Derivative Test to identify all relative extrema.
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...
1. Consider the following. h(x)=x 3sqrt(x-5) Find the critical numbers. (Enter your answers as a comma-separated...
1. Consider the following. h(x)=x 3sqrt(x-5) Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing: decreasing: 2. Compare the values of dy and Δy for the function. (Round your answers to four decimal...
The total profit Upper P(x) ​(in thousands of​ dollars) from the sale of x hundred thousand...
The total profit Upper P(x) ​(in thousands of​ dollars) from the sale of x hundred thousand pillows is approximated by: P(x) = -x^3 + 9x^2 + 165x - 200 , x ≥ 5 Find the number of hundred thousands of pillows that must be sold to maximize profit. Find the maximum profit.
The total profit (in dollars) from the sale of x x answering machines is P(x)=20x−0.5x2−280. P...
The total profit (in dollars) from the sale of x x answering machines is P(x)=20x−0.5x2−280. P ( x ) = 20 x − 0.5 x 2 − 280. (A) Find the exact profit from the sale of the 26th machine. Exact Profit on 26th machine = (B) Use the marginal profit to approximate the profit from the sale of the 26th machine. Approx. profit on 26th machine =