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 4000 clock radios. (D) Interpret R'(4700) = -88.00. 5000-x (A) p = p(x)= 50 What is the domain of p(x)? ○ A. x≥0 ○ B. All real numbers C. 0≤x≤5000 ○ D. x ≤ 6000 2 (B) R(x) = 100x-0.02x² What is the domain of R(x)? ○ A. x≥0 OB. x≤6000 OC. 0≤x≤50 D. 0≤x≤5000 (C) The marginal revenue at a production level of 4000 clock radios is $ - 60 (Round to the nearest cent as needed.) (D) Which of the following statements is NOT a correct interpretation of R'(4700) = -88.00? A. If 4700 clock radios are produced, there will be no revenue, since R'(4700) is negative. B. The total revenue for producing 4701 clock radios is approximately $88.00 less than the total revenue for producing 4700 clock radios. OC. At a production level of 4700 clock radios, the change in revenue per unit change in production is approximately -88.00 dollars.
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 4000 clock radios. (D) Interpret R'(4700) = -88.00. 5000-x (A) p = p(x)= 50 What is the domain of p(x)? ○ A. x≥0 ○ B. All real numbers C. 0≤x≤5000 ○ D. x ≤ 6000 2 (B) R(x) = 100x-0.02x² What is the domain of R(x)? ○ A. x≥0 OB. x≤6000 OC. 0≤x≤50 D. 0≤x≤5000 (C) The marginal revenue at a production level of 4000 clock radios is $ - 60 (Round to the nearest cent as needed.) (D) Which of the following statements is NOT a correct interpretation of R'(4700) = -88.00? A. If 4700 clock radios are produced, there will be no revenue, since R'(4700) is negative. B. The total revenue for producing 4701 clock radios is approximately $88.00 less than the total revenue for producing 4700 clock radios. OC. At a production level of 4700 clock radios, the change in revenue per unit change in production is approximately -88.00 dollars.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 1GP
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