Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R(x) = 49x - 0.05x2. (a) Find R(50). Tell what it represents. O The actual revenue of the 50th unit is this amount. O 50 units produce this amount of revenue. O The revenue decreases by about this amount when the number of units is increased from 50 to 51. O 51 units produce this amount of revenue. O The revenue increases by about this amount when the number of units is increased from 50 to 51. (b) Find the marginal revenue function. MR = (c) Find the marginal revenue (in dollars per unit) at x = 50. $ per unit Tell what it predicts about the sale of the next unit and the next 2 units. The sale of the next unit will --Select-- v the revenue by about $ . The sale of the next 2 units will --Select--- the revenue by about $

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 58E
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Total revenue is in dollars and x is the number of units.
Suppose that the total revenue function for a commodity is R(x)
49x – 0.05x2.
(a)
Find R(50).
2$
Tell what it represents.
The actual revenue of the 50th unit is this amount.
50 units produce this amount of revenue.
The revenue decreases by about this amount when the number of units is increased from 50 to 51.
51 units produce this amount of revenue.
The revenue increases by about this amount when the number of units is increased from 50 to 51.
(b) Find the marginal revenue function.
MR
%D
(c) Find the marginal revenue (in dollars per unit) at x = 50.
$
per unit
Tell what it predicts about the sale of the next unit and the next 2 units.
The sale of the next unit will ---Select--- v the revenue by about $
The sale of the next 2 units will ---Select--- v the revenue by about $
(d)
Find R(51) – R(50).
Explain what this value represents.
actual revenue from 50 units
actual revenue from the 51st unit
actual revenue from the 50th unit
actual revenue from 51 units
marginal revenue at x = 50
Transcribed Image Text:Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R(x) 49x – 0.05x2. (a) Find R(50). 2$ Tell what it represents. The actual revenue of the 50th unit is this amount. 50 units produce this amount of revenue. The revenue decreases by about this amount when the number of units is increased from 50 to 51. 51 units produce this amount of revenue. The revenue increases by about this amount when the number of units is increased from 50 to 51. (b) Find the marginal revenue function. MR %D (c) Find the marginal revenue (in dollars per unit) at x = 50. $ per unit Tell what it predicts about the sale of the next unit and the next 2 units. The sale of the next unit will ---Select--- v the revenue by about $ The sale of the next 2 units will ---Select--- v the revenue by about $ (d) Find R(51) – R(50). Explain what this value represents. actual revenue from 50 units actual revenue from the 51st unit actual revenue from the 50th unit actual revenue from 51 units marginal revenue at x = 50
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