The demand for a certain video game is modeled by the logistic curve q(t) = 10,000 1 + 0.5e−0.3t, where q(t) is the total number of units sold t months after its introduction. (a) Use technology to estimate q'(4). (Round your answer to the nearest whole number.) q'(4) = units per month (b) Assume that the manufacturers of the video game sell each unit for $700. What is the company's marginal revenue dR/dq? dR dq= $ per unit (c) Use the chain rule to estimate the rate at which revenue is growing 4 months after the introduction of the video game. (Round your answer to the nearest thousand.) $ per month
The demand for a certain video game is modeled by the logistic curve q(t) = 10,000 1 + 0.5e−0.3t, where q(t) is the total number of units sold t months after its introduction. (a) Use technology to estimate q'(4). (Round your answer to the nearest whole number.) q'(4) = units per month (b) Assume that the manufacturers of the video game sell each unit for $700. What is the company's marginal revenue dR/dq? dR dq= $ per unit (c) Use the chain rule to estimate the rate at which revenue is growing 4 months after the introduction of the video game. (Round your answer to the nearest thousand.) $ per month
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
The demand for a certain video game is modeled by the logistic curve
q(t) =
,
| 10,000 |
| 1 + 0.5e−0.3t |
where q(t) is the total number of units sold t months after its introduction.
(a)
Use technology to estimate q'(4). (Round your answer to the nearest whole number.)
q'(4) = units per month
(b)
Assume that the manufacturers of the video game sell each unit for $700. What is the company's marginal
revenue dR/dq?
| dR |
| dq |
(c)
Use the chain rule to estimate the rate at which revenue is growing 4 months after the introduction of the video game. (Round your answer to the nearest thousand.)
$ per month
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
