Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R = 64x - 0.02x². (a) Find R(100). $ Tell what it represents. The actual revenue of the 100th unit is this amount. The revenue increases by about this amount when the number of units is increased from 100 to 101. 100 units produce this amount of revenue. 101 units produce this amount of revenue. The revenue decreases by about this amount when the number of units is increased from 100 to 101. (b) Find the marginal revenue function. MR = (c) Find the marginal revenue (in dollars per unit) at x = 100. per unit Tell what it predicts about the sale of the next unit and the next 3 units. The sale of the next unit will |---Select--- ✓ the revenue by about $ (d) Find R(101) - R(100). The sale of the next 3 units will ---Select--- the revenue by about $ Explain what this value represents. actual revenue from 101 units marginal revenue at x = 100 actual revenue from the 101st unit actual revenue from 100 units actual revenue from the 100th unit
Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R = 64x - 0.02x². (a) Find R(100). $ Tell what it represents. The actual revenue of the 100th unit is this amount. The revenue increases by about this amount when the number of units is increased from 100 to 101. 100 units produce this amount of revenue. 101 units produce this amount of revenue. The revenue decreases by about this amount when the number of units is increased from 100 to 101. (b) Find the marginal revenue function. MR = (c) Find the marginal revenue (in dollars per unit) at x = 100. per unit Tell what it predicts about the sale of the next unit and the next 3 units. The sale of the next unit will |---Select--- ✓ the revenue by about $ (d) Find R(101) - R(100). The sale of the next 3 units will ---Select--- the revenue by about $ Explain what this value represents. actual revenue from 101 units marginal revenue at x = 100 actual revenue from the 101st unit actual revenue from 100 units actual revenue from the 100th unit
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 = 64x - 0.02x².
(a) Find R(100).
$
Tell what it represents.
The actual revenue of the 100th unit is this amount.
The revenue increases by about this amount when the number of units is increased from 100 to 101.
100 units produce this amount of revenue.
101 units produce this amount of revenue.
The revenue decreases by about this amount when the number of units is increased from 100 to 101.
(b) Find the marginal revenue function.
MR =
(c) Find the marginal revenue (in dollars per unit) at x = 100.
per unit
Tell what it predicts about the sale of the next unit and the next 3 units.
The sale of the next unit will |---Select--- ✓ the revenue by about $
(d) Find R(101) - R(100).
The sale of the next 3 units will ---Select--- the revenue by about $
Explain what this value represents.
actual revenue from 101 units
marginal revenue at x = 100
actual revenue from the 101st unit
actual revenue from 100 units
actual revenue from the 100th unit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4c08af9-5d4b-4492-bc1d-f80f84af0110%2Fdc070e5f-5a38-489c-8354-a98a04ca2061%2Fmr21pu_processed.png&w=3840&q=75)
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 = 64x - 0.02x².
(a) Find R(100).
$
Tell what it represents.
The actual revenue of the 100th unit is this amount.
The revenue increases by about this amount when the number of units is increased from 100 to 101.
100 units produce this amount of revenue.
101 units produce this amount of revenue.
The revenue decreases by about this amount when the number of units is increased from 100 to 101.
(b) Find the marginal revenue function.
MR =
(c) Find the marginal revenue (in dollars per unit) at x = 100.
per unit
Tell what it predicts about the sale of the next unit and the next 3 units.
The sale of the next unit will |---Select--- ✓ the revenue by about $
(d) Find R(101) - R(100).
The sale of the next 3 units will ---Select--- the revenue by about $
Explain what this value represents.
actual revenue from 101 units
marginal revenue at x = 100
actual revenue from the 101st unit
actual revenue from 100 units
actual revenue from the 100th unit
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