The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p.(A) Express the price p in terms of the demand x, and find the domain of this function.(B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R?(C) Find the marginal revenue at a production level of 2800 clock radios.(D) Interpret R'(3900) = – 56.00.

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Answered: The price p (in dollars) and the demand…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 3000 – 10p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2200 clock radios. (D) Interpret R'(2500) = - 200.00. ...
A tank holds 200 gal of water that contains 40 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the rate of 2 gal per minute while the solution flows out at the same rate. The brine solution entering the tank has a salt concentration of 4 lb per gal. (a) Find a function that represents the amount of salt in the tank at any time. (b) As time passes, what happens to the salt concentration?
6) From 2004 through 2013, the sales per share S (in dollars) for Dollar Tree can be modeled by S= (0.0120t² + 0.140t + 2.30)", 4
Consider a function f(x) that represents the cost, in dollars, of producing x units of a product. The revenue, in dollars, generated by selling x units of the product is given by g(x) = 100x - 2x^2. Find the production level that maximizes the profit and calculate the maximum profit.
The function A(x) = 0.003x³ -0.04x² +0.16x+0.05 approximates the blood alcohol concentration in a person's bloodstream x hours after drinking 8 ounces of a hard liquor. The function only applies to the interval [0,5]. On what time intervals is the blood alcohol concentration increasing? On what intervals is it decreasing? Determine the interval(s), if any, on which the blood alcohol concentration is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The blood alcohol concentration is increasing on the time interval(s) (Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) B. The blood alcohol concentration is never increasing.
Find the slope of the graph of the function at the given value. f(x)=-3x²+ Select one: O b. 7 O a. f'(2)= x O e. when x = 2 f'(2)=- c. f'(2) = - d. f'(2)= 55 8 39 4 55 39 4 55 f'(2)= 4 X Incorrect

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