Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R(x) = 43x − 0.05x². (a) Find R(50). $ Tell what it represents. 51 units produce this amount of revenue. - The revenue decreases by about this amount when the number of units is increased from 50 to 51. The revenue increases by about this amount when the number of units is increased from 50 to 51. The actual revenue of the 50th unit is this amount. 50 units produce this amount of revenue. (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--- | the revenue by about $ (d) Find R(51) – R(50). $ Explain what this value represents. actual revenue from 51 units actual revenue from the 50th unit actual revenue from 50 units marginal revenue at x = 50 actual revenue from the 51st unit The sale of the next 2 units will ---Select--- the revenue by about $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 2AGP
Question
Total revenue is in dollars and x is the number of units.
Suppose that the total revenue function for a commodity is R(x) = 43x − 0.05x².
(a) Find R(50).
$
Tell what it represents.
51 units produce this amount of revenue.
-
The revenue decreases by about this amount when the number of units is increased from 50 to 51.
The revenue increases by about this amount when the number of units is increased from 50 to 51.
The actual revenue of the 50th unit is this amount.
50 units produce this amount of revenue.
(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--- | the revenue by about $
(d) Find R(51) – R(50).
$
Explain what this value represents.
actual revenue from 51 units
actual revenue from the 50th unit
actual revenue from 50 units
marginal revenue at x = 50
actual revenue from the 51st unit
The sale of the next 2 units will ---Select--- the revenue by about $
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) = 43x − 0.05x². (a) Find R(50). $ Tell what it represents. 51 units produce this amount of revenue. - The revenue decreases by about this amount when the number of units is increased from 50 to 51. The revenue increases by about this amount when the number of units is increased from 50 to 51. The actual revenue of the 50th unit is this amount. 50 units produce this amount of revenue. (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--- | the revenue by about $ (d) Find R(51) – R(50). $ Explain what this value represents. actual revenue from 51 units actual revenue from the 50th unit actual revenue from 50 units marginal revenue at x = 50 actual revenue from the 51st unit The sale of the next 2 units will ---Select--- the revenue by about $
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